Combinatorial Auctions via Machine Learning-based Preference Elicitation

Combinatorial auctions (CAs) are used to allocate multiple items among bidders with complex valuations. Since the value space grows exponentially in the number of items, it is impossible for bidders to report their full value function even in medium-sized settings. Prior work has shown that current designs often fail to elicit the most relevant values of the bidders, thus leading to inefficiencies. We address this problem by introducing a machine learning-based elicitation algorithm to identify which values to query from the bidders. Based on this elicitation paradigm we design a new CA mechanism we call PVM, where payments are determined so that bidders’ incentives are aligned with allocative efficiency. We validate PVM experimentally in several spectrum auction domains, and we show that it achieves high allocative efficiency even when only few values are elicited from the bidders.

[1]  E. H. Clarke Multipart pricing of public goods , 1971 .

[2]  Sébastien Lahaie,et al.  A Bayesian Clearing Mechanism for Combinatorial Auctions , 2017, AAAI.

[3]  Bernhard Schölkopf,et al.  A tutorial on support vector regression , 2004, Stat. Comput..

[4]  Theodore Groves,et al.  Incentives in Teams , 1973 .

[5]  X. Vives,et al.  Journal of Economic Theory Symposium on Financial Economics , 2011 .

[6]  Lawerence J. White,et al.  Review of Industrial Organization , 2005 .

[7]  Benjamin Lubin,et al.  Adaptive-Price Combinatorial Auctions , 2018, EC.

[8]  Joan Feigenbaum,et al.  Proceedings of the 5th ACM conference on Electronic commerce , 2004 .

[9]  Martin Bichler,et al.  Compact Bid Languages and Core Pricing in Large Multi-item Auctions , 2015, Manag. Sci..

[10]  P. Bernholz,et al.  Public Choice , 2018, The Oxford Handbook of Public Choice, Volume 1.

[11]  Dinh Phung,et al.  Journal of Machine Learning Research: Preface , 2014 .

[12]  Sven Seuken,et al.  Probably Approximately Efficient Combinatorial Auctions via Machine Learning , 2017, AAAI.

[13]  Noam Nisan,et al.  The communication requirements of efficient allocations and supporting prices , 2006, J. Econ. Theory.

[14]  David C. Parkes,et al.  Applying learning algorithms to preference elicitation , 2004, EC '04.

[15]  Lawrence M. Ausubel An efficient dynamic auction for heterogeneous commodities , 2006 .

[16]  David C. Parkes,et al.  ICE: An Expressive Iterative Combinatorial Exchange , 2008, J. Artif. Intell. Res..

[17]  David J. Hand,et al.  Statistics and computing: the genesis of data science , 2015, Statistics and Computing.

[18]  Pierre Rochus,et al.  Hu, Luojia , Estimation of a censored dynamic panel data model,Econometrica. Journal of the Econometric Society , 2002 .

[19]  M. Bichler,et al.  Do core-selecting Combinatorial Clock Auctions always lead to high efficiency? An experimental analysis of spectrum auction designs , 2013 .

[20]  Lawrence M. Ausubel,et al.  A Practical Guide to the Combinatorial Clock Auction , 2017 .

[21]  Jacob K. Goeree,et al.  Hierarchical package bidding: A paper & pencil combinatorial auction , 2010, Games Econ. Behav..

[22]  Martin Bronfenbrenner,et al.  インフレ理論の展望〔American Economic Review,Sept.1963掲載〕-2完- , 1971 .

[23]  Martin Bichler,et al.  On the Impact of Cognitive Limits in Combinatorial Auctions: An Experimental Study in the Context of Spectrum Auction Design , 2010 .