Resilient Knowledge-Based Mechanisms For Truly Combinatorial Auctions (And Implementation in Surviving Strategies)

We put forward a new mechanism achieving a high benchmark for (both revenue and) the sum of revenue and efficiency in truly combinatorial auctions. Notably, our mechanism guarantees its performance • in a very adversarial collusion model; • for any profile of strategies surviving the iterated elimination of dominated strategies; and • by leveraging the knowledge that the players have about each other (in a non-Bayesian setting). Our mechanism also is computationally efficient, and preserves the players’ privacy to an unusual extent.

[1]  Venkatesan Guruswami,et al.  On profit-maximizing envy-free pricing , 2005, SODA '05.

[2]  Richard P. McLean,et al.  FULL EXTRACTION OF THE SURPLUS IN BAYESIAN AND DOMINANT STRATEGY AUCTIONS , 1988 .

[3]  Lawrence M. Ausubel,et al.  The Lovely but Lonely Vickrey Auction , 2004 .

[4]  Joan Feigenbaum,et al.  Sharing the Cost of Multicast Transmissions , 2001, J. Comput. Syst. Sci..

[5]  Maria-Florina Balcan,et al.  Mechanism design via machine learning , 2005, 46th Annual IEEE Symposium on Foundations of Computer Science (FOCS'05).

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

[7]  Silvio Micali,et al.  Leveraging Collusion In Combinatorial Auctions , 2009 .

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

[9]  Wendell Cox,et al.  The bidding process , 1991 .

[10]  M. Jackson Implementation in Undominated Strategies: A Look at Bounded Mechanisms , 1992 .

[11]  William Vickrey,et al.  Counterspeculation, Auctions, And Competitive Sealed Tenders , 1961 .

[12]  Anna R. Karlin,et al.  Competitive auctions , 2006, Games Econ. Behav..

[13]  Vijay V. Vazirani,et al.  Applications of approximation algorithms to cooperative games , 2001, STOC '01.

[14]  Andrew V. Goldberg,et al.  Collusion-resistant mechanisms for single-parameter agents , 2005, SODA '05.

[15]  Amos Fiat,et al.  Competitive generalized auctions , 2002, STOC '02.

[16]  Y. Mansour,et al.  Single Price Mechanisms for Revenue Maximization in Unlimited Supply Combinatorial Auctions , 2006 .

[17]  H. Moulin,et al.  Strategyproof sharing of submodular costs:budget balance versus efficiency , 2001 .

[18]  Silvio Micali,et al.  Resilient Mechanisms For Truly Combinatorial Auctions , 2008 .

[19]  Moshe Babaioff,et al.  Single-value combinatorial auctions and implementation in undominated strategies , 2006, SODA '06.

[20]  Tuomas Sandholm,et al.  Approximating Revenue-Maximizing Combinatorial Auctions , 2005, AAAI.

[21]  Yoav Shoham,et al.  Truth revelation in approximately efficient combinatorial auctions , 2002, EC '99.

[22]  Sergei Izmalkov,et al.  Perfect Implementation of Normal-Form Mechanisms , 2007 .