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Learning Environmental Parameters for the Design of Optimal English Auctions with Discrete Bid Levels

  • A. Rogers
  • E. David
  • J. Schiff
  • S. Kraus
  • N. R. Jennings
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 3937)

Abstract

In this paper we consider the optimal design of English auctions with discrete bid levels. Such auctions are widely used in online internet settings and our aim is to automate their configuration in order that they generate the maximum revenue for the auctioneer. Specifically, we address the problem of estimating the values of the parameters necessary to perform this optimal auction design by observing the bidding in previous auctions. To this end, we derive a general expression that relates the expected revenue of the auction when discrete bid levels are implemented, but the number of participating bidders is unknown. We then use this result to show that the characteristics of these optimal bid levels are highly dependent on the expected number of bidders and on their valuation distribution. Finally, we derive and demonstrate an online algorithm based on Bayesian machine learning, that allows these unknown parameters to be estimated through observations of the closing price of previous auctions. We show experimentally that this algorithm converges rapidly toward the true parameter values and, in comparison with an auction using the more commonly implemented fixed bid increment, results in an increase in auction revenue.

Keywords

Reserve Price Online Auction Closing Price English Auction Potential Bidder 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2006

Authors and Affiliations

  • A. Rogers
    • 1
  • E. David
    • 1
  • J. Schiff
    • 2
  • S. Kraus
    • 3
  • N. R. Jennings
    • 1
  1. 1.Electronics and Computer ScienceUniversity of SouthamptonSouthamptonUK
  2. 2.Department of MathematicsBar-Ilan UniversityRamat-GanIsrael
  3. 3.Department of Computer ScienceBar-Ilan UniversityRamat-GanIsrael

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