Field of the Invention
[0001] The present invention relates to computing entities configured for electronic commerce,
and particularly although not exclusively, to a method and apparatus for making bids
and offers at electronic auctions over the internet.
Background to the Invention
[0002] It is known on the internet that several commercial websites are present which serve
the purpose of auctioning goods. Referring to Fig. 1 herein there is shown an example
of a prior art system in which first and second commercial auction websites 100, 101
are each supported by a corresponding computer entity 102, 103 operating on a website
server. A user of the auction websites over the internet 104 accesses the auction
websites 100, 101 by use of his own computing entity 105. In Fig. 1, auction websites
100, 101 and the user are shown as logical entities (being websites supported by the
computing entities) and the user operates a browser software 106 resident on the user's
computer entity 105. Examples of such auction websites include those provided by eBay™
and QXL. A human user having a conventional personal computer equipped with a conventional
browser software may use the browser software to access the auction websites over
the internet in known manner, and using the browser may generate a screen display
downloaded from the website which provides the user with an interactive interface
on his computer entity 105 through which the user can participate in an auction hosted
by the website servers 102, 103. To participate in an auction, a user typically must
register with the auction site server by entering the user's details such as company
name, personal name, credit card number, and address, in to dialog boxes provided
on the website interface. The user accesses information concerning goods sold through
the auction website.
[0003] Referring to Fig. 2 herein, there is illustrated schematically aspects of a typical
user interface display of a known auction website, which a human user can access on
his or her graphical user interface by pointing a browser software at the website.
Typically such a display comprises a listing of goods or services to be sold, a quantity
of goods or services, a current highest bid price which is being bid for the goods
or services, a number of bids which have been received by the website for those goods
or services, a time at which the auction started, and a time at which the auctioning
of the goods or services may close, as well as other details concerning payment method
and shipping terms.
[0004] Referring to Fig. 3 herein there is illustrated an example of a prior art screen
display accessed by a user for making a bid. A user enters an amount which the user
bids for the goods using a dialog box provided. The bid is relayed over the internet
to the website, which inputs the bid information into its controlling software to
determine whether or not the bid is successful. Once the auction software accepts
a successful bid, a confirmation message is sent to the computing entity of the successful
bidder, and a transaction, including supply of goods and payment for goods, occurs
by conventional means, for example postal delivery of goods and conventional credit
card transaction clearance.
[0005] It is known in prior art systems to provide at a known auction website a software
functionality known as a 'bidding elf', which is provided as part of an auction website,
and which is capable of bidding in an auction on behalf of a buyer. The bidding elf
provides a user with a screen display having dialog boxes into which the user can
enter an upper maximum limit to which he or she is prepared to bid for various goods.
The bidding elf then places bids on behalf of the user, varying the bid level incrementally
up to the maximum predetermined limit set by the user. The bidding elf removes the
need for the user to sit at his visual display continuously to monitor current bidding
whilst the auction is occurring and continue to increase his bid incrementally up
to his maximum bid.
[0006] With known electronic auctions, generally a user can only attend one auction at any
one time, since the website browser can only be pointed at one auction at any one
time and the user interface of one auction website can be displayed on a single monitor
at any one time. If a user wishes to attend more than one auction simultaneously,
in order to source goods or services at the best price from several auctions, then
the user must arrange a plurality of website browsers supported by one or more computing
entities to communicate with the plurality of auctions, and must visually monitor
each separate auction site simultaneously. Such a system is possible, using conventional
technology, but is inelegant, requiring several items of computing equipment by the
user, and requiring manual monitoring and interaction of several auction sites at
once. The prior art bidding elf can only make bids in one auction, being the auction
website with which it is associated. Different prior art elves at different websites
cannot communicate with each other to coordinate bidding in several auctions.
Summary of the Invention
[0007] One object of the present invention is to provide a method and apparatus to enable
a user to participate in several electronic auctions simultaneously in a controlled
and coordinated manner to obtain a best price contract for goods and services from
a plurality of auctions. In one implementation, a user may set an upper and/or lower
price limit for bid or offer of goods or services at a plurality of auctions, and
thereby participate in risk free buying or selling of goods and services. The user
may be guaranteed that the maximum price bid will not be exceeded, or a minimum price
offered will not be exceeded in specific embodiments of the invention.
[0008] Specific embodiments may enable a user to obtain items at a preferential rate in
one auction whilst participating in one or more other auctions for the same goods/services
and whilst avoiding buying of more goods than required, or selling more goods than
required through participating in other ones of the plurality of auctions.
[0009] According to first aspect of the present invention there is provided an electronic
trading entity comprising:
a processor;
a memory means;
a communications means;
monitoring means for monitoring a plurality of trading data displayed by a plurality
of auction entities;
quantity calculation means for calculating quantities of items for trading with said
plurality of monitored auction entities,
price calculation means for calculating optimal prices of items to be traded with
said plurality of auction entities;
wherein said price calculation means operates to process said trading data to obtain
trading prices for a quantity of items calculated by said quantity calculation means,
said prices calculated for a set of chosen auction entities selected from said set
of all said plurality of auction entities;
said price calculation means operating to process said selected data to obtain trading
prices for a predetermined amount of items across all said selected set of said plurality
of auction entities.
[0010] Preferably the electronic trading entity further comprises search means for searching
electronically for individual ones of said auction entities.
[0011] Preferably said amount calculation means comprises:
means for storing bid data describing a plurality of bids in at least one of said
plurality of auction entities;
means for storing user bid data describing a number of bids placed by said trading
entity with at least one of said plurality of auction entities; and
means for determining an optimum number of bids and corresponding price amounts of
said bids to place with at least one of said plurality of auction entities.
[0012] According to a second aspect of the present invention there is provided a method
of operating an electronic trading entity for trading a plurality of tradable items,
said method comprising the steps of:
monitoring a plurality of auction entities;
inputting a plurality of trading data from said plurality of auction entities;
processing said trading data of said plurality of auction entities to determine an
optimum set of amount data describing quantities and prices of said tradable items
for trading by said trading entity.
[0013] Said step of processing trading data of said plurality of auction entities may comprise:
storing in memory a plurality of bid data displayed by said plurality of auction entities;
determining a number of active bids of said trading entity already sent by said trading
entity to at least one of said plurality of auction entities;
constructing a plurality of currently successful sets of said bid data of said plurality
of auction entities;
determining a cost to outbid each said set of currently successful bids;
selecting a said currently successful set of bids having an optimum cost to outbid;
and
constructing a set of bids of said trading entity which are higher than corresponding
bids of said optimum cost currently successful bid set.
[0014] Said step of constructing a set of bids of said trading entity which are higher than
said optimum cost currently successful bid set may comprise:
for each bid of said optimum bid set, said bid made either by said trading entity
or a third party, selecting a highest third party bid appearing in an identical auction
entity to said bid, which also appears in said optimum bid set; and
generating a trading entity bid of an amount equal to said highest third party bid
plus a minimum bid increment.
[0015] Said step of processing said trading data of said plurality of auction entities may
comprise:
storing in memory a plurality of offer data of said plurality of auction entities;
determining a number of active offers already placed by said plurality of auction
entities;
constructing a plurality of sets of offers of said auction entities;
determining a value of each of said set of auction entity offers;
selecting a set of auction entity offers having an optimum value to undercut with
new offers;
determining whether said value is within a predetermined value limit; and
generating a set of offer data matched to said optimum set of offer data.
[0016] Said step of processing data may comprise:
storing a plurality of offers of a plurality of auction entities,
selecting a plurality of sets of said plurality of offers, each set having a number
of members equal to a number of items to be obtained by said trading entity;
for each said selected set, determining a value of said set;
selecting a said set having a maximum value;
generating a set of offers which correspond with said set having said maximum value.
[0017] Said step of generating a set of offers may comprise:
for each offer of said set of optimum offers, generating an offer having value equal
to the corresponding respective offer value, minus a predetermined amount.
[0018] According to third aspect of the present invention there is provided a method of
exchanging data between an electronic trading entity and a plurality of electronic
auction entities, said method comprising the steps of:
said trading entity monitoring data displayed by said plurality of auction entities;
said first trading entity extracting from said monitored data, data describing prices
of individual items to be traded;
said first trading entity determining from said price data an optimum set of trading
data for sending to said plurality of auction entities; and
said first trading entity communicating said trading data to said plurality of auction
entities.
Brief Description of the Drawings
[0019] For a better understanding of the invention and to show how the same may be carried
into effect, there will now be described by way of example only, specific embodiments,
methods and processes according to the present invention with reference to the accompanying
drawings in which:
Fig. 1 illustrates schematically an example of a prior art system in which first and
second commercial auction websites are each supported by corresponding computer entity;
Fig. 2 illustrates schematically an example of a typical prior art user interface
display of a known auction website;
Fig. 3 illustrates schematically further features of the typical prior art user interface
display of the known auction website;
Fig. 4 illustrates schematically operation of a trading entity according to first
specific implementation of the present invention in an internet environment;
Fig. 5 illustrates schematically an architectural structure of the trading entity
of Fig. 4;
Fig. 6 illustrates schematically interaction of the trading entity with a plurality
of auction entities over the internet and interaction of the trading entity with a
user;
Fig. 7 illustrates schematically a logical layout of the trading entity of Fig. 4;
Fig. 8 illustrates schematically process steps carried out by the trading entity for
procuring a single good or item from a plurality of auction entities;
Fig. 9 illustrates schematically process steps carried out by a monitoring and trading
component of the bidding algorithm for bidding for several goods or services at once
from a plurality of auction entities;
Fig. 10 illustrates schematically a data table recording data describing a plurality
of bids and/or offers which the trading entity is actively pursuing at a plurality
of auction entities;
Fig. 11 illustrates schematically a bid selection algorithm for selecting a set of
bids to place across a plurality of auction entities;
Fig. 12 illustrates schematically an array of bids for each of a plurality of N auctions
in which individual sets of bids D are selected;
Fig. 13 illustrates schematically an example of a specific set of bids selected exclusively
from a single auction;
Fig. 14 illustrates schematically a set of bids comprising 4 bids, placed in 2 auctions
at levels which outbid currently active bids of third parties in those auction entities;
Fig. 15 illustrates schematically an offer selection algorithm for selecting a set
of offers to be made in a plurality of auction entities;
Fig. 16 illustrates schematically a method for determining an optimum set of bids
to place with one or a plurality of auction entities;
Fig. 17 illustrates schematically a set of bids which may be displayed by a plurality
of auction entities and stored by a trading entity according to a specific embodiment
of the present invention; and
Fig. 18 illustrates schematically a set of offers which may be generated by the trading
entity, to match with a set of bids as illustrated in Fig. 17 herein.
Detailed Description of the Best Mode for Carrying Out the Invention
[0020] There will now be described by way of example the best mode contemplated by the inventors
for carrying out the invention. In the following description numerous specific details
are set forth in order to provide a thorough understanding of the present invention.
It will be apparent however, to one skilled in the art, that the present invention
may be practiced without limitation to these specific details. In other instances,
well known methods and structures have not been described in detail so as not to unnecessarily
obscure the present invention.
[0021] A first specific implementation according to the present invention is concerned primarily
with electronic commerce according to the 'English auction' system in which a seller
takes competing bids from a plurality of bidders, with a current highest bid price
from one of the bidders being the price which other bidders must exceed in order for
a successful transaction to occur. Where the highest bid price is not exceeded for
a predetermined period, the seller may choose to either withdraw the goods from auction
if his reserve price is not met, or the seller may enter into a transaction with the
bidder making the highest bid in the auction.
[0022] Throughout this description, transactions concerning goods or services will be referred
to. Where a transaction to buy or sell a good is mentioned, it will be understood
that the subject of the transaction may be either a good or a service or both a good
and service, the terms good and service being used interchangeably, and similarly
a reference to a transaction involving a service will be construed accordingly to
include a transaction involving a good.
[0023] In this specification the term "lot" is used to refer to a minimum quantity which
is subject to a single transaction. A number of individual goods or services comprising
a lot may be defined by a user of a computer trading entity according to specific
implementations of the present invention described herein or may be specified by an
entity with whom the computer trading entity trades. A user may define a lot size
for any particular type of good or service as being one, or a preset plurality of
goods or services.
[0024] Referring to Fig. 4 herein, there is illustrated schematically an interaction of
a trading device 400 according to a first specific implementation of the present invention
with a plurality of auction entities 402 ― 404. The trading device comprises a computer
program operating to control a first computing entity 401 comprising a data processor
and memory means. Each auction entity comprises a computer program operating a corresponding
computing entity 405 ― 407, the computing entities each comprising a data processor
and associated memory means, the trading device 400 communicating with the one or
plurality of auction entities over the internet 408.
[0025] Referring to Fig. 5 herein, there is illustrated schematically an architectural structure
of trading device 400. The trading device comprises a data processing means 500; an
area of memory 501 for storage of data and instructions used by processor 500; a user
interface 502, comprising a video display screen, keyboard and pointing device, for
example a mouse device; an operating system 503, for example the known Unix™ operating
system, Microsoft Windows™
, operating system, or Linux™ operating system; a modem 504 for communicating with
other internet devices; a plurality of applications 505, including a web browser 506,
and a set of algorithms 507 for placing bids and offers at auction sites, the algorithms
507 co-operating with web browser 506. The web browser 506 may comprise a conventional
web browser, for example the known Microsoft Internet Explorer™ browser.
[0026] Referring to Fig. 6 herein, there is shown schematically communication of trading
device 400 with the plurality of auction entities, and with a user of the device.
Trading device 400 receives hypertext mark-up language (HTML) or XML signals 600 from
the auction entities, and sends data 601, also in HTML or XML to the auction entities
over the Internet. Trading device 400 communicates with the user interface using HTML
signals, and can receive data input and commands from a user via the user interface,
for example by the user typing in commands, or using the pointing device.
[0027] The trading device comprises a local set of software commands on the computer entity
401, which operate to parse information from the auction entities, and receives HTML
signals, in the same way as the web browser. The trading device extracts information
from the HTML signals concerning a current status of an auction entity, including
information on a highest current bid and the bidding increments set by the auction
entity.
[0028] The trading device 400 contains a plurality of algorithms for interacting with the
user and one or more auction entities as will now be described.
[0029] Referring to Fig. 7 herein, there is illustrated a logical layout of trading device
400 including arrows indicating flows of data between logical components of the trading
device 400. Trading device 400 comprises a web browser 506; monitoring and trading
algorithms 700; one or more price calculation algorithms 701, an auction selection
algorithm 702, and a URL store 703. Web browser 506 may monitor one or a plurality
of auction entities under control of monitoring and trading algorithm 700. Monitoring
and trading algorithm 700 interacts with price calculation algorithm 701 to obtain
information concerning calculated optimum prices and lowest/highest prices. Price
calculation algorithm 701 communicates with auction selection algorithm 702 for selecting
auction entities having the best prices for selected goods or services. URL store
703 stores URL addresses of selected auction entities which are referred to by the
auction selection algorithm 702 and monitoring and trading algorithm 700. User interface
502 communicates with web browser 506, and monitoring and trading algorithm 700, so
that a human user of the trading device can monitor and participate in trades carried
out by the monitoring and trading algorithm 700 and actively search and select auction
entities using web browser 506. Each of monitoring and trading algorithm 700 and web
browser 506 are capable of communicating with auction entities via the modem facility
504 of the host computer entity, via the internet.
[0030] Whilst communications between the trading device and the auction entities are described
herein as being carried out in HTML or XML, protocols operated by the trading device
400 for communication in the general sense is not limited to these languages, and
in the general case communication may occur by other standard interfaces, for example
FIPA (foundation of intelligent physical agents) defined languages.
[0031] In some embodiments, algorithms for communicating with agent entities may reside
within a web browser, in which case the algorithms may generate HTML driven screens
which the user may review using his conventional web browser. Information which the
trading device displays to the user includes information concerning the status of
a set of auction sites selected by the user. The trading device may be directed to
web sites by a user typing in addresses of known websites, using the URL of the websites,
or alternatively a communication algorithm within the device may be configured to
use the browser to search for auction sites by entering in a keyword search via the
browser, into a conventional search engine, e.g. Yahoo™ or Alta Vista ™.
[0032] A user of the trading device needs to have confidence in the integrity and reliability
of the auction entities which the trading device is communicating with. Consequently,
in the best mode implementation, rather than leave selection of auction entities to
the trading device, a user may select a plurality of auction entities with which the
trading device communicates, for example by inputting the URL data of selected auction
entities to the trading device, which the trading device stores in URL memory store
703. Other user inputs to the trading device include:
- A list of goods or services which the user wishes to buy, sell or monitor for. Goods
need not necessarily be actively bought or sold, but can be monitored and a user alerted
to any particular goods of interest when these arise on an auction site.
- Information concerning auctions which the user wishes to participate in. This information
may include a general instruction to participate in any auction which the user has
pre-selected and has entered its URL into the trading device.
- A quantity of goods or services to buy or sell. This data may comprise a maximum quantity
of goods or services to buy or sell, and a minimum quantity of goods or services to
buy or sell. For example, when buying or selling electronic components, lots of 1000
units are common, and lots of 100 units or lower are generally not traded.
- In the case of a buy instruction from the user to the trading device, information
describing an upper bid price limit (and currency type) which the user is prepared
to pay without the trading device referring back to the user.
- In the case of buying goods or services, an absolute upper bid price limit and currency
above which the user is unwilling to purchase the goods or services.
- In the case of selling goods or services, a lower offer limit below which the user
requires referral of price information before selling the goods or services.
- In the case of selling goods or services, an absolute lower offer limit below which
the user is unwilling to sell the goods or services.
[0033] If the user is buying, and the goods are within the user's upper bid limit, the trading
device may buy goods and services automatically without further referral to the user.
Similarly, if the user is selling goods and services and the prices obtained are above
the user's lowest offer limit, the trading device may sell goods and services automatically
without further referral to the user.
[0034] Referring to Fig. 8 herein, there is illustrated steps of a simple algorithm for
purchasing one lot of goods or service only from one of a plurality of N auction entities.
[0035] In step 800, the user inputs a maximum price limit P
MAX being a price which should never be exceeded in any of the N auctions for a quantity
of goods or services.
[0036] In step 801, the user inputs a maximum price data P
MAX into his user interface, which is received by trading device 400. In step 801, the
user enters a referral price P
REF, which is a price above which any bids to be made by the device must be referred back
to the user before proceeding. In step 802, the trading device monitors a plurality
N of pre-selected auction entities, which have previously been selected by the user,
and which are selling the goods or services of interest to the user. In step 803,
the trading device monitors the current highest bids b in each of the plurality of
N auctions monitored. This results in a plurality of bids b
1i, ..... b
N, being the current highest bid operating in each of the N auctions. In step 804,
if the trading device has a currently entered bid in any of the N auctions, which
is the highest bid in that auction, that is to say if the trading device is actually
leading the bidding in any one of the plurality of N auctions, then the algorithm
idles, and continues to monitor the N auctions and current bid prices in steps 802,
803 as described previously. However, if the trading device is not currently leading
the bidding in any one of the N auctions, in step 805 the algorithm selects the auction
having the lowest current active bid (the active bid being the highest bid in that
auction) in step 805. In step 806, it is checked whether there is more than one auction
having an equivalent lowest active bid. If there is only one such auction, then in
step 809, the algorithm calculates a bid at the level b
i + δ in the selected auction i. However, if there is more than one auction having
a lowest active bid price, that is to say that there is a same lowest active bid price
for the goods or services in more than one auction, then the algorithm selects from
these the auction having the earliest finish time, and the lowest active bid price
in step 807. In step 808, the algorithm then proceeds to calculate a bid b
i + δ in the selected auction i, where δ is the smallest bid increment acceptable in
that auction i. In step 810 the algorithm compares the bid b
i + δ with the price limit above which all bids must be referred to the user P
REF. If the bid b
i + δ is below the referral limit P
REF, in step 811, the algorithm proceeds to place the bid b
i + δ in the selected auction and returns to monitoring state 802. However, if the
bid b
i + δ is above the limit P
REF above which all bids must be referred to the user, in step 812, the algorithm compares
the bid b
i + δ with the absolute maximum price limit P
MAX set by the user to see if it is below P
MAX. If the calculated bid exceeds P
MAX then the algorithm stops and no further bidding takes place. The algorithm stops
in step 813. However, if the calculated bid b
i + δ is within the maximum upper price limit P
MAX, in step 814, the algorithm refers the bid to the user for authorization. If the
user authorizes the bid in step 815, then the bid b
i + δ is placed in the selected auction in step 816 and returns to monitoring step
802. However, if the user does not authorize the bid, or rejects the bid b
i + δ then in step 817, the algorithm stops and no further bidding takes place.
[0037] The above algorithm ensures that the user always has a leading bid in one of the
plurality of N auctions, placing the lowest possible bid to take a lead in one of
the plurality N auctions and without placing a bid in any other auction than the one
in which the lowest possible bid is placed until that bid is overtaken. When the user's
bid is overtaken in the auction in which the user is bidding, the algorithm selects
the next auction having the lowest active bid price and places a bid in that auction.
This auction may be the same auction as the one in which the user has just been outbid
in, or may be a different auction of the plurality N auctions. The algorithm is always
searching for the lowest current active bid which allows the user to lead in one of
the plurality N auctions for the required single lot of goods or services, and always
below the user's referral price limit P
REF which the user is prepared to pay without the trading device referring back to the
user.
[0038] The referral mechanism provided where a bid is above the user's price limit above
which all bids need to be referred back to the user P
REF, but below the user's absolute maximum price limit P
MAX above which the user will never want to bid for the lot of goods or services, is
provided primarily to give the user confidence in the trading device and gain acceptance
of the bidding system from the user. However, an optimally behaving user should not
use the referral mechanism, but should set his maximum price limit above which he
would never wish to pay to be the same as the price limit above which referrals should
be made, that is to say

. The trading device will never pay more than the upper limit set by the user, and
will not reveal that upper limit to the auction, or to competing bidders.
[0039] Referring to Fig. 9 herein, there is illustrated schematically an example of procedure
steps carried out by monitoring and trading algorithm 100 for bidding for several
lots of goods or services at once at a plurality of auction entities. A number M goods
of a specified type are to be purchased from a plurality of N auctions at an optimal
overall price, that is to say, the best prices available throughout the N auctions
where an auction house may run one or more auctions for a given good. Using this algorithm,
some of the plurality M goods may be bought at different prices to others, but overall,
the best prices for the M goods are obtained, subject to availability, at the plurality
N of auctions. In each of the auctions, different bidders may bid a different price
per good for different lots of goods where the price depends on the quantity traded.
For example, a first bidder may bid say $500 each for 5 items (5 lots) whereas in
another auction, another bidder may bid $450 per item for 10 items (10 lots) of the
same goods. The algorithm of Fig. 9 deals with the feature of the bid price per lot
being dependant upon the size of transaction by treating each of the M lots to be
traded separately, and attaching a separate bid price to each one of the plurality
M lots to be bid for. Therefore, in the algorithm, instead of bidding $2,500 for 5
lots, the algorithm breaks the transaction down into 5 individual bids of $500 for
each one of 5 lots, resulting in 5 bids instead of 1 bid in this example.
[0040] In step 900, the user selects each of the plurality of N auctions in which the user
wishes to bid for the goods or services. This may be achieved by selecting the auctions
using a conventional web browser and inputting the URL of each selected auction into
the trading device. In step 901, the user inputs the single type of good or service,
and the total number of lots M of the good or service to be bid for in the plurality
N auctions via the user interface 502. In step 902, the user inputs an absolute maximum
bid price P
MAX per lot, which the user is prepared to pay. A lot of goods comprises a predetermined
quantity of goods or services which the user is buying, and may be a single good,
or a plurality of goods, for example 1000 individual items. In step 903, the user
inputs a referral price, P
REF being a cost amount per lot above which any bids must be referred to the user before
they can be entered at any of the auctions. As described above, a user who behaves
optimally will set

so that in practice no referral of price occurs back to the user. In step 904, each
one of the plurality of N auctions are continuously monitored to check the current
active bid prices, where the active bid price is the highest bid price currently operating
by any bidder in that individual auction. In general, the current active bid price
in each of the plurality of auctions will differ, but in a theoretically 100% efficient
marketplace, the currently active bid price in all auctions may be the same. In step
905, for each auction i the algorithm considers the top M
i bids

where b
1i ≥ b
Mii
[0041] For each auction, the top M
i bids are stored in a table, with the highest bid price (the highest currently active
bid price which would be successful in any auction) b
1i at the top of the data table and the lowest active bid price b
Mii at the bottom of the table, b
Mii being the lowest bid price in the auction which would succeed in buying the goods
or services. Further bids in the auction, which are currently unsuccessful (inactive)
are labeled b
mi+1i, b
mi+2i ... and so on.
[0042] The monitoring and trading algorithm maintains a database in memory in which for
each of the N auctions which are being monitored, there is stored data describing
a price amount for a plurality of individual bids which the algorithm has placed and
which are currently active. An active bid is defined herein as a bid which has been
placed with an auction entity, and which is of an amount sufficient to secure a trade
for that lot of goods or services in the absence of any subsequent higher bids for
those same goods or services, and disregarding whether the amount exceeds a reserve
price limit set by the auction entity for that same lot of goods or services.
[0043] The algorithm may also store connected with the active bid information for each lot,
further information describing the proposed trade, including for example a description
of the goods or services for which the bid is being made, a quantity of individual
items for which the bid is being made, that is to say the number of individual items
in a lot which is being bid for, a close time by which the bid will be accepted or
rejected by the auction entity, and a quality information describing a quality of
goods or services to be provided. Examples of the types of information which may be
stored by the algorithm are illustrated in Fig. 10 herein. The data stored may comprise
a bid identifier data 1000 being a unique identification code generated by the bid
algorithm for a particular bid which has been placed; an auction identification data
1001, comprising a URL of the auction in which the bid identified by corresponding
respective bid identifier 1000 has been placed; a lot identification data 1002, indicating
a specific lot of goods or services for which the bid has been placed; a description
information 1003 comprising a brief description of the goods or services for which
the bid has been placed, or alternatively comprising a pointer to a separate table
in which a more detailed description may be stored; a lot size, comprising the number
of individual items (goods or services) in the lot which has been bid for; a monetary
amount bid 1005, including a currency indicator relating to the currency in which
the bid has been made, a time and date data 1006 at which the bid was made; a closing
time of the auction for the particular lot which has been bid for, and a status indicator
1008 describing whether the current bid is in an active or inactive state.
[0044] In step 907, the monitoring and trading algorithm sums the number of bids, being
one bid per specified lot, for the specified goods/services of the same type currently
active, in all the selected auctions. For example, referring to Fig. 10, there are
5 bids active for lots of ten thousand 10k resistors, all of which are currently active,
and spanning two individual auctions. In this example, the lot size is ten thousand
individual resistors, and the price per lot which has been bid varies from $25 to
$28. If L
i is the number of bids currently active which have been placed by the bidding device
(in the example of Fig. 10 for the 10k resistor lots), L
i equals 5, then if for all auctions i = 1 to N, then if the total number of bids L
i is greater than or equal to M as determined in step 908, then no further bids are
placed and the algorithm continues to monitor each of the plurality of N auctions
in step 904 and continues with subsequent steps 905 ― 907. However, in step 908 the
number of current active bids for all auctions is less than the total number of lots
of goods or services to be obtained, that is to say:

[0045] Then, the algorithm places additional bids according to a bid selection algorithm
hereinafter described with reference to Fig. 11, so that an additional Q active bids
are held by the trading entity, where Q is determined in equation 2 below.
[0046] Referring to Fig. 11 herein, there is illustrated an auction selection algorithm
for selecting a subset of the plurality N of selected auctions in which to place new
bids. The algorithm in Fig. 11 operates in real time, continuously inputting new bid
values from each of the plurality of N auctions as they occur, and placing new bids
on an ongoing basis as bids which have previously been placed by the algorithm are
overridden by competing bids from third parties.
[0047] An object of the algorithm is to determine the lowest cost bids to place in the plurality
of auctions N, in order to obtain the required number of lots of goods or services
1100. In step 1101, the algorithm receives input of data describing the current active
bids of all of the plurality of N selected auctions. These bids comprise all the bids
which, in the absence of any new bids, will be successful in obtaining goods or services
(subject to these bids not being below a reserve price set by the auction). These
bids are shown schematically in Fig. 12 herein as an array of bids for each auction
i of the plurality N auctions. For the purpose of clarity in this example diagram,
we assume every auction is selling exactly 4 lots.

[0048] The trading device then determines the optimum least cost bids to place which will
result in an additional Q active bids.
[0049] In each auction A, there are a plurality of bids which need to be beaten in order
to be successful in acquiring a given number of goods j from that auction. A plurality
of potential sets of bids are constructed to outbid existing bids in the plurality
N of auctions as illustrated in step 1102 herein. The beatable ― j set of existing
bids in auction A is defined as the set

[0050] This is the set of number j lowest bids which would succeed if the auction were terminated
immediately. For example, in Fig. 12, 1201 shows the beatable ― 1 set for auction
1, and 1202 shows the beatable ― 2 set for auction 3.
[0051] The beatable zero (beatable ― 0) set of bids for any auction is defined to be an
empty set of bids.
[0052] A plurality of sets of bids can be formed by taking the members of exactly one beatable
― j set (j ≧ 0) from every auction A
i. The set of all sets which can be formed by taking the members of exactly one beatable
― j set (j ≥ 0) from every auction A
i is defined as the set □. In Fig. 12 there are illustrated 3 members of □, each with
3 elements;
- The set made from the beatable ― 1 set of auction 1 (1202), and the beatable ― 2 set
of auction 3, and the beatable - 0 sets of all other auctions.
- The set (1203) made of the beatable ― 3 set of auction N, and the beatable ― 0 sets
of all other auctions.
- The set (1204) made up of the beatable ― 1 sets of auctions 1, 2 and 3 and the beatable
― 0 set of all other auctions.
[0053] All sets D in the set □ which do not contain exactly Q bids made by parties other
than the trading device are deleted.
[0054] (1103) - For each set D ∈ □ a cost of the set D is defined

[0055] Where D
A is the set of bids in set D made by the trading device and j
i is the number of the highest bid which has been chosen by the algorithm in a particular
set of bids of a selected auction A
i.
[0056] Equation 4 calculates the cost of outbidding each beatable ― j set in D by placing
j
i new bids of value b
imi-ji + 1 + δ
i, and subtracts the cost of existing bids in these sets made previously by the bidding
device. This is illustrated schematically in Fig. 13, for a simple case where Q =
4, and the set D comprises the highest 4 bids in a single auction. In order to be
successful in auction M, 4 bids 1302 must be placed, which exceed the highest bid
b
1M in auction M.

, where δ is the minimum bid increment allowable in the auction. Similarly, in another
example illustrated schematically in Fig. 14 herein, there is shown another set D
pr comprising a number Q = 4 bids, placed in order to outbid the currently active bids
of third parties in auctions P and R. To be successful in auctions P and R, 4 bids
need to be placed 1501, 1502, being 2 bids of an amount b
P3 + δ in first auction P, and 2 bids each at an amount b
r3 + δ in auction R, giving a total cost

for the bid set D
PR, where b
P3 is the second lowest currently active bid price in first auction P, δ
P is the minimum bid increment in first auction P, b
r3 is the second lowest currently active bid price in second auction R, and δ
R is the minimum bid increment in second auction R.
[0057] δ
i is the bid increment, which is specified by a particular auction. Bid increment data
is obtained by a parser in the monitoring algorithm which reads the bid data directly
from the auction entity, the data being transferred in a language such as HTML or
XML.
[0058] (1104) - A set of bids having a minimum cost D
MIN is obtained by choosing D
MIN ∈ ∀ such that

[0059] If more than one set satisfies equation 5, then the latest auction finish times in
each set are considered. The set with the earliest such finish time is chosen.
[0060] In step 1105 the algorithm then proceeds to deploy those bids in the relevant auctions
at the appropriate calculated levels, as long as those bids are below the referral
price P
REF set by the user. Any new bids which are calculated by the algorithm which are above
the referral price P
REF will be referred back to the user. Under no circumstances will new bids be placed
where the amount is greater than the maximum price limit P
MAX. If all bids are placed, this will result in j
i bids of amount b
imi―ji + δ
i being placed in each auction A
i.
[0061] As a further example, an agent may participate in many auctions selling similar goods,
spread out between many auction houses and wishes to purchase m goods in these auctions,
and is given a valuation of v on each good by its user. To do this, the agent monitors
the set of auctions currently progressing. For each auction a
i, it observes the n(i) highest bids. In other words, it observes the values of the
bids that, if the auction terminated immediately, would result in a successful purchase.
These bids are labelled {b
1i,..,b
n(i)i}, where b
1i is the highest bid in the auction, and b
n(i)i is the lowest bid which would currently succeed. We refer to these as the currently
active bids. To represent the reservation price r, we assume that the seller places n(i)
bids of value r-δ, where δ is the minimum bid increment.
[0062] In this example, our agent is attempting to purchase 5 discount PCs of a given specification,
and is willing to bid up to 150 for each. There are 3 auction houses, each running
one auction to sell PCs of this specification. Auction a
1 is selling 4 PCs, auction a
2 is selling 3 PCs and auction a
3 is selling 2 PCs. In this example all auctions have a minimum bid increment of 5.
[0063] Auction a
1 currently has the following bids registered (Underlined bids are held by our agent);
100 95 90 90 80 60
[0064] As the auction is for 4 items, the agent observes the 4 highest bids, {b
11=100, b
21 = 95, b
31 = 90, b
41 = 90}
[0065] Auction a
2 has the following bids registered;
95 85 85 80 70
[0066] The agent observes the bids {b
12=95, b
22 = 85, b
32 =
85}
[0067] Auction a
3 has the following bids:
100 95 95 80
[0068] Our agent holds 2 active bids, and so needs to place bids to gain an additional 3.
[0069] L is the number of currently active bids that are held by our agent. (Initially,
L will be zero.) To ensure the agent makes m purchases, it needs to make new bids
that result in it having an additional (m-L) active bids. This may require it to make
more than (m-L) bids, as it may need to outbid itself.
[0070] If the agent is to hold j active bids in auction a
i, it must place bids that beat the lowest j of the currently active bids. We define
the beatable-j list for auction a
i to be the ordered set of these bids ― namely bids {b
in(i)+1,..,b
in(i)}. To beat the bids in this list, the agent must place j bids of value b
in(i)-j+1+δ where δ is the minimum bidding increment. The incremental cost to the agent of
placing these bids, if successful, above the cost that it would have incurred in auction
a
i previously, is j*b
in(i)-j+1+δ - {sum of previous bids in a
i}. The beatable-0 list of any auction is defined to be the empty set, and has incremental
cost of zero. Obviously, an auction for q goods has no beatable-j lists for j>q.
[0071] In this example, the beatable-1 list of auction a
2 is {85}, with incremental cost 5 (as it already holds that bid). The beatable-2 list
is {85, 85}, with incremental cost 95. Similarly the beatable-3 list is {95,85,85},
with incremental cost 195.
[0072] The agent now constructs potential bid sets. A bid set is a set of beatable-j lists
that satisfies the following criteria;
1. The set contains exactly one beatable-j list from each auction.
2. The beatable-j lists contain, in total, exactly (m-L) bids made by parties other
than our agent.
[0073] In other words, each bid set represents one possible way of placing bids to ensure
that our agent will gain an additional (m-L) active bids, and therefore will hold
exactly m active bids. We define the incremental cost of each of these bid sets to
be the sum of the incremental costs of the beatable-j lists in it.
[0074] Therefore, our agent needs to find bid sets containing exactly 3 bids made by parties
other than it. An example bid set satisfying the above criteria would be; [{90}, {85,
85}, {100,
95}].
[0075] This set is made from the beatable-1 list of auction a
1, and the beatable-2 lists of auctions a
2 and a
3. Its incremental cost is 300.
[0076] The agent must generate the bid set with the lowest incremental cost. In addition,
it must avoid generating bid sets that contain a bid equal to or greater than its
valuation of the good, v. Various algorithms can be used to do this. The simplest
is to generate all possible bid sets, filter out those containing bids greater than
v, and select the one with lowest cost. However, this is clearly inefficient, and
alternative search techniques could be used. For example, a depth first strategy through
the space of possible bid sets, pruning areas of the search space which are higher
cost than the best solution found so far. If there is more than one bid set with identically
lowest cost, the agent chooses one arbitrarily. If no such bid sets exist, the agent
finds the smallest i such that at least one bid set exists which contains (m-L-i)
bids made by parties other than the agent. Given this i, the agent chooses the bid
set with the lowest incremental cost.
[0077] Having generated the bid set with the lowest cost, the agent places bids in each
auction. For each beatable-j list {b
in(i)-j+1,..,b
in(i)} in the bid set, the agent places j bids of value b
in(i)-j+1+δ in the corresponding auction a
i.
[0078] In our example, the bid set with lowest cost is [{90, 90}, {85,
85}, {} ] This set has cost 285. The agent therefore places two bids of 95 in auction
a
1 and two bids of 90 in auction a
2.
[0079] The agent continues to monitor the auction, and repeats its analysis if other parties
place new bids. In this way, the agent ensures it maintains m active bids at the least
possible cost to itself, unless doing so requires it to place bids above its valuation
of the good. Providing all auctions terminate simultaneously, this will result in
it buying the goods at the best price possible, given the competition in each auction.
[0080] Where the auctions terminate at different times the above example may not behave
optimally.
[0081] The agent needs a mechanism for determining whether to remain in an auction which
is about to close, even when there are other auctions with lower current bid prices.
[0082] To determine whether the agent should remain in an auction which is about to close,
even when there are other auctions with lower current bid prices, it must be able
to make a trade-off in terms of expected value between the relative certainty of remaining
in an auction about to close, against the risk of participating in a newer auction.
The newer auction may result in a lower purchase, or may result in a far higher purchase
price above the agent's valuation of the good.
[0083] In this example the mechanism that is used combines simple learning with utility
theory. The agent uses learning to build a model of the spread of valuations held
by participants in different auction houses. Then, based on its beliefs about these
valuations, it calculates the utility of likely participation in persisting auctions,
and compares this with the certain outcome in the terminating auction. If the terminating
auction has a higher utility, it remains a participant and makes the purchase. If
the remaining auctions have higher expected utility, it withdraws from the terminating
auction and continues participation elsewhere.
[0084] The agent generates a model of the potential outcome of auctions by creating a model
of each auction house. For a given auction house and a given type of good, it creates
a belief function B(x,q) representing the probability that x bidders value the good
with a valuation greater than q in a given auction for that good. It builds up this
function by monitoring auctions for the good conducted by the auction house. Various
possible learning techniques can be used to generate this function. The exact choice
will depend on the underlying dynamics of the demand for the good under consideration.
Three examples of possible functions are static demand, drifting demand and semi-static
demand.
[0085] For static demand if the demand for the good is unchanging, a simple function which
gives equal weight to evidence from each auction will suffice. It can be specified
iteratively ― the initial beliefs after one auction B
1(x,q) are defined, and the beliefs after the t+1th auction B
t+1(x,q) are defined in terms of the beliefs B
t(x,q) held prior to the auction.
[0086] B
1(x,q) = 1 if x or more bidders have placed a bid of q or greater in the first auction
observed, 0 otherwise.
[0087] 
if x or more bidders have placed a bid of q or greater in the t+1th auction observed,

[0088] For drifting demand, if the demand for the goods changes slowly with time, it is
necessary to reduce or eliminate the contribution of older auctions on the belief
function. This can be done either by specifying a rolling window of time and discarding
evidence from auctions earlier to this, or by using a time discount factor that reduces
the weight given to older auctions.
[0089] In a semi-static environment, the demand remains fixed for a period of time, and
then suddenly alters to a new level (for example, because of the arrival of a new
group of buyers because of a publicity campaign.) In such an environment, it is necessary
for the learning algorithm to identify when such a change has occurred, and to discard
evidence from auctions prior to the change. This can be done by observing predictions
from the belief model, and how they compare with the actual outcomes. If they are
radically different over several auctions, a reset should take place.
[0090] Using these functions, we can estimate the probability that a bid of a certain value
will be successful in an auction by a given auction house. Consider an auction for
n goods, in which our agent wishes to purchase one. The probability that a bid of
q by our agent will be successful can be estimated to be 1 ― B(n,q); i.e. 1 minus
the probability that n other bidders are prepared to outbid our agent.
[0091] For an English auction, however, this approach may require modification as an English
auction reveals nothing about the valuations of successful bidders. In other words,
if a bidder makes a successful bid of x, we cannot be sure how much higher they may
have been willing to bid. To take account of this, it is necessary to add some kind
of heuristic weighting to the belief function ― we must increase the value of a successful
bid by a certain amount, to reflect this possible willingness to bid higher. One possibility
is to add a small random amount to each successful bid. In some domains, it may be
possible to use econometric data to determine accurately the range that this should
be drawn over, while in other domains it may be necessary to use a heuristic estimate.
[0092] We now consider how this belief function can be used to compare the expected payoff
of an auction that is about to terminate with the less certain outcome of other auctions
that terminate later. For the sake of clarity and brevity, we present the technique
assuming our agent wishes to purchase a single good. The expected payoff from the
terminating auction is simple to calculate. Assuming our agent is holding an active
bid q, or is able to place one at the last moment, then the payoff will be (v-q).
If the agent is unable to place a bid because all active bids are beyond its valuation
of the good, then payoff will be zero and the agent is forced to participate in other
auctions.
[0093] For example an agent is purchasing one good from one of two auctions. Auction a
1 is nearing completion, while auction a
2 is continuing. Each auction is for 2 goods, and is run by separate auction houses.
The active bids are as follows;
Auction a1: |
130 |
125 |
Auction a2: |
115 |
110 |
[0094] Our agent values the good at 200, so could continue bidding in auction a
1.
[0095] The expected payoff of continuing to participate in the non-terminating auctions
is more complex to calculate. To do this, we use the belief function to calculate
the probability our agent will be able to make a purchase at various possible bid
prices. For a given bid price q, the probability our agent will make a successful
bid in an auction run by a given auction house is 1-B(n,q), where n is the number
of goods being sold. Similarly, the probability that our agent will be able to make
a successful bid at a lower price, q-1, is

. Hence, the probability that our agent will succeed with a bid of q and no lower
is

. The utility of this outcome will be (v-q). Hence, we can calculate the expected
utility of participating in a given auction as;

[0096] Of course, as the auction may already be in progress, it is necessary to take into
account the current active bids in that auction. The general belief function B(x,q)
for the auction house is therefore adapted for this particular auction a
n to give B-(a
n,x,q). If the good being traded is a private value good, and hence all buyers have
valuations independent of each other, this is defined as follows;
[0097] Let p be the value of the xth highest bid in auction a
n
Then

for all q ≥p
1 for all q < p
[0098] Therefore, if our agent has built up the following belief function for the auction
house running auction a
2;
q: |
105 |
110 |
115 |
120 |
125 |
130 |
135 |
140 |
|
B(2,q): |
|
1 |
0.8 |
0.7 |
0.6 |
0.6 |
0.5 |
0.3 |
0 |
[0099] As there are already bids of 110 and 115, this becomes;
q: |
105 |
110 |
115 |
120 |
125 |
130 |
135 |
140 |
|
B(2,q): |
|
1 |
1 |
0.875 |
0.75 |
0.75 |
0.625 |
0.375 |
0 |
[0100] As our agent has a valuation of 200, we can calculate the expected utility of this
auction to be;

[0101] Given an expected utility on the remaining auctions, the agent must decide whether
to place higher bids in the auction that is about to terminate, or withdraw from it.
If we assume that the agent is risk neutral, then it will be willing to bid up to
a value where the actual utility of the terminating auction is the same as the highest
expected utility among the remaining auctions. In other words, it is prepared to make
a maximum bid b
max of;

[0102] Therefore, assuming that a
3 has a lower expected utility than a
2, our agent will be willing to bid up to (200-66.25) = 133.75 in auction a
1. Hence, it will place a bid of 130, and will withdraw if this is outbid. In this
case, it will hope to make a better purchase in auction a
2.
[0103] In this way, the agent is able to make informed decisions about whether to continue
bidding in an auction or to switch. If it is making multiple purchases, it may purchase
some in the terminating auction, and choose to switch others to continuing auctions.
[0104] By interleaving the application of two algorithms of the form described above, our
agent can effectively participate in multiple English auctions. It will use the coordination
algorithm to place lowest possible bids across auctions. It will use the bid withdrawal
algorithm to determine when it is worth bidding higher in an auction that is about
to terminate, as opposed to transferring to other auctions where the active bids are
currently lower.
[0105] Additionally the example may be enhanced by, for example using:
1) A more sophisticated learning mechanism. This may be generic, or could be tailored
to the specific dynamics of a particular market.
2) The buyers risk could be generalised to allow the agent to adopt other risk attitudes
as appropriate.
3) The account time discounting or deadlines could be generalised.
4) The value of all goods could be generalised to allow the agent to receive a demand
curve from its user.
5) The deviation of actual auctions from the predictions could be measured. This could
make it possible to give a measure of confidence in the belief. This could be used
to moderate the agent's decision to switch auctions, taking into account the agent's
attitude to risk.
6) It may be appropriate to also to model the possibility that an auction house may
bring new auctions into being, and the potential payoff of such auctions.
[0106] Referring to Fig. 15 herein, there is illustrated schematically an offer selection
algorithm for selecting a set of offers to sell a plurality of lots of goods or services
in a plurality of various auctions purchasing goods or services from the trading device.
The trading device attempts to sell goods by making offers to a competitive tender.
Hence the 'auctioneer' is putting out goods to competitive tender. The auctioneer
will never receive bids, only offers.
[0107] The offer selection algorithm illustrated in Fig. 15 operates where a plurality N
of auction entities request goods or services sold by the trading device 400 which
offers those goods and/or services for sale. Each individual auction i buys a quantity
M
i lots of goods or services. That is to say each auction entity i posts on its website
details of the quantity of lots of goods or services which it wishes to acquire, and
posts a call for offers for each of those lots of goods or services.
[0108] The trading device 400 places a plurality of offers with a selection of a plurality
of N auction entities. The number of individual offers, the particular auction with
which the offer is placed, and the amount of the offer are determined by the offer
selection algorithm illustrated schematically in Fig. 15 herein.
[0109] The trading device monitors the plurality N auctions, each auction entity wishing
to acquire a quantity M
i goods, the number M
i varying from auction to auction in the general case.
[0110] In step 1500, the user inputs details defining the quantity of goods or services
M required to be sold or supplied into the trading device 400 using the user interface.
These details are stored in local memory in the trading device for further reference.
In step 1501, the user inputs an absolute price limit P
MIN for each lot of goods or services which are to be sold, the absolute price limit
P
MIN being the price below which the user is unwilling to sell or supply the goods or
services. A separate price limit P
MIN is input for each lot of goods or services to be sold or supplied. The data describing
the minimum offer price P
MIN is stored in memory by the trading device. In step 1502, the user inputs a referral
price data P
REF, for each lot of goods or services which are to be sold or supplied. The referral
price is the price below which the trading device cannot operate automatically, but
must refer all offers which it makes to the plurality N of auctions back to the user
via the user interface, before proceeding to place those offers. A user behaving optimally
will set the minimum price P
MIN to be the same as the referral price P
REF, so that in practice the trading device once instructed to sell items does not refer
back to the user. In step 1503, the trading device monitors the plurality of N auctions,
by parsing data from the websites operated by those auction entities, the data describing
the quantity, and offer price for goods or services of the type specified in step
1500. Auction entities may be selected on the basis of reliability, settlement terms,
delivery terms, and trading history. In the best mode implementation, a user will
personally select the plurality of N auction entities from which the price calculation
algorithm can choose, rather than leaving the selection process to a further set of
auction selection algorithms 702.
[0111] In step 1504, the algorithm monitors a plurality of offers from each of the plurality
N auctions, receiving the lowest current offers in each auction i of the plurality.
Where a large number of offers are posted by an auction entity, the algorithm may
be configured to only receive from each auction at most a number of lowest offers
S
1i, ..... S
mii being the same as the quantity Q of the lots of goods/services to be disposed of.
This prevents the trading device becoming flooded with large quantities of offer data
from the plurality of auction entities. Auction entities may be pre-selected by the
user in a similar fashion as described herein above with respect to an operation by
the trading device.
[0112] In step 1504 for each auction i the lowest M offers S
1i, ..... S
mii are stored. In step 1505, for each auction, the current number of active placed offers
which the trading device has placed in the auction are stored. In step 1506, for all
selected auctions, the number of active offers of goods/services specified are summed.
In step 1507, if the number of current active offers is greater than M, then the algorithm
returns to step 1503 and the monitoring process is continued. However, in step 1507,
if the number of current active offers is less than M, then in step 1508 the algorithm
proceeds to place a set of new offers according to the offer selection algorithm.
[0113] Selection of individual auctions with which to trade are chosen from the selected
plurality N of auctions, and the prices at which those trades occur is carried out
by the offer selection algorithm illustrated with reference to Fig. 16 herein. The
basis for operation of the algorithm of Fig. 16 is as follows.
[0114] In step 1601, the plurality N of pre-selected auctions are monitored by parsing data
from the websites of those auction entities. Offer data S
1i...., S
Ni, for a plurality of individual offers S for each auction A
i up to the maximum number of auctions N is received by the trading device, suitably
in HTML, or XML languages.
[0115] For an auction A
i, a beatable ― j set of offers is defined as being:

[0116] The beatable ― 0 set for any auction is defined to be the empty set.
[0117] In step 1602, there are generated all sets of offers which can be formed, by taking
the members of exactly one beatable ― j set (j ≥ 0) from every auction A
i. Let □ be the set of all such sets.
[0118] All sets in □ which do not contain a number exactly Q of offers made by parties other
than the trading device are deleted or ignored in step 1603. The remaining offer sets
each having Q members are selected in step 1604.
[0119] For each set, D ∈ □ a profit D is defined as

[0120] Where D
A is the set of offers in set D made by the trading device.
[0121] In step 1605, a maximum offer set D
MAX is selected by choosing D
MAX∈Φ such that

for all D∈□.
[0122] In step 1606 offers are deployed in the plurality of auctions by placing j
i offers each of amount

in each auction A
i, where δ is an offer increment selected by the user or specified by the auction site.
[0123] Once the offers are placed with the selected auctions, then provided no competing
offers are made by third parties at a lower price than those made by the trading device,
then the offers should be accepted by the selected auctions.
[0124] Different numbers of lots of goods or services may be accepted by different auction
entities, possibly at different times. Thus, the algorithm of Fig. 16 may dynamically
and continuously loop back to step 1601 further monitoring the plurality of N auctions,
reviewing any offers which have not yet been accepted. If an offer is accepted, then
for that particular offer which is accepted, settlement occurs in step 1608, by the
algorithm confirming by a message to the auction entity concerned that the offer has
been accepted. This message forms a legally binding contract between the trading device
and the auction entity. Payment and delivery may occur by conventional means, for
example physically shipping the goods, and making a credit card transaction, or electronic
funds transfer by conventional means. In the best mode implementation described herein,
settlement of trades may be delegated to a human user for actual implementation.