Preventing Strategic Manipulation in Iterative Auctions: Proxy Agents and Price-Adjustment

Iterative auctions have many computational advantages over sealed-bid auctions, but can present new possibilities for strategic manipulation. We propose a two-stage technique to make iterative auctions that compute optimal allocations with myopic best-response bidding strategies more robust to manipulation. First, introduce proxy bidding agents to constrain bidding strategies to (possibly untruthful) myopic bestresponse. Second, after the auction terminates adjust the prices towards those given in the Vickrey auction, a sealedbid auction in which truth-revelation is optimal. We present an application of this methodology to iBundle, an iterative combinatorial auction which gives optimal allocations for myopic best-response agents.

[1]  Ronald M. Harstad,et al.  Computationally Manageable Combinational Auctions , 1998 .

[2]  Tuomas Sandholm,et al.  An Implementation of the Contract Net Protocol Based on Marginal Cost Calculations , 1993, AAAI.

[3]  Peter R. Wurman,et al.  Equilibrium Prices in Bundle Auctions , 1999 .

[4]  David C. Parkes,et al.  Iterative Combinatorial Auctions: Theory and Practice , 2000, AAAI/IAAI.

[5]  Paul R. Milgrom,et al.  Putting Auction Theory to Work: The Simultaneous Ascending Auction , 1999, Journal of Political Economy.

[6]  T. Sandholm Limitations of the Vickrey Auction in Computational Multiagent Systems , 1996 .

[7]  Noam Nisan,et al.  Algorithmic mechanism design (extended abstract) , 1999, STOC '99.

[8]  D. Gale,et al.  Multi-Item Auctions , 1986, Journal of Political Economy.

[9]  Sushil Bikhchandani,et al.  The Package Assignment Model , 2002, J. Econ. Theory.

[10]  Dimitri P. Bertsekas,et al.  The Auction Algorithm for Assignment and Other Network Flow Problems: A Tutorial , 1990 .

[11]  David C. Parkes,et al.  Optimal Auction Design for Agents with Hard Valuation Problems , 1999, Agent Mediated Electronic Commerce.

[12]  David C. Parkes,et al.  iBundle: an efficient ascending price bundle auction , 1999, EC '99.

[13]  Kenneth Steiglitz,et al.  Combinatorial Optimization: Algorithms and Complexity , 1981 .

[14]  Tuomas Sandholm,et al.  Algorithm for optimal winner determination in combinatorial auctions , 2002, Artif. Intell..

[15]  Y. Shoham,et al.  Truth revelation in rapid, approximately efficient combinatorial auctions , 2001 .

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

[17]  S. Clearwater Market-based control: a paradigm for distributed resource allocation , 1996 .

[18]  Jeffrey K. MacKie-Mason,et al.  Generalized Vickrey Auctions , 1994 .

[19]  Michael P. Wellman,et al.  Auction Protocols for Decentralized Scheduling , 2001, Games Econ. Behav..

[20]  Moshe Tennenholtz,et al.  Mechanism design for resource bounded agents , 2000, Proceedings Fourth International Conference on MultiAgent Systems.

[21]  Tuomas Sandholm,et al.  An algorithm for optimal winner determination in combinatorial auctions , 1999, IJCAI 1999.