Efficient Winner Determination Techniques for Internet Single Item Multi-unit Open-cry Auctions

Internet auction servers have a history of breaking down when a large number of
accesses are made by users simultaneously, i.e., under peak load. In this paper
we develop algorithms for efficiently processing bids in a single item, N unit
(N >= 1) open cry auction for a large class of winner determination rules.
Existing techniques consider all previously submitted bids along with the new
arrivals to update the current set of winners. We propose that at most N
`potential winner bids' amongst the previously submitted bids need to be used for
such updates, thus significantly reducing the computation time and memory
requirements. This is crucial when a large number of auctions are being conducted
simultaneously. For a commonly used greedy auction rule we show that the expected
number of potential winner bids may be much less than N under reasonable
probabilistic assumptions. Another advantage of our approach vis-a-vis existing
approaches is that it is amenable to distributed bid processing.

By: Achal Bassamboo, Manish Gupta, Sandeep Juneja

Published in: RI00027 in 2000

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