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Contribution Details

Type Journal Article
Scope Discipline-based scholarship
Title Computing bayes-nash equilibria in combinatorial auctions with verification
Organization Unit
Authors
  • Vitor Bosshard
  • Benedikt Bünz
  • Benjamin Lubin
  • Sven Seuken
Item Subtype Original Work
Refereed Yes
Status Published in final form
Language
  • English
Journal Title Journal of Artificial Intelligence Research
Publisher AI Access Foundation
Geographical Reach international
ISSN 1076-9757
Volume 69
Page Range 531 - 570
Date 2020
Abstract Text We present a new algorithm for computing pure-strategy ε-Bayes-Nash equilibria (ε-BNEs) in combinatorial auctions. The main innovation of our algorithm is to separate the algorithm’s search phase (for finding the ε-BNE) from the verification phase (for computing the ε). Using this approach, we obtain an algorithm that is both very fast and provides theoretical guarantees on the ε it finds. Our main contribution is a verification method which, surprisingly, allows us to upper bound the ε across the whole continuous value space without making assumptions about the mechanism. Using our algorithm, we can now compute ε-BNEs in multi-minded domains that are significantly more complex than what was previously possible to solve. We release our code under an open-source license to enable researchers to perform algorithmic analyses of auctions, to enable bidders to analyze different strategies, and many other applications.
Free access at DOI
Digital Object Identifier 10.1613/jair.1.11525
Other Identification Number merlin-id:20196
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