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Incentives in core-selecting auctions with single-minded bidders

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  • Sano, Ryuji

Abstract

This paper considers some package auctions with known single-minded bidders. A single-minded bidder is interested in a unique bundle of goods and bids only for that bundle. We examine each bidder's incentive in Ausubel and Milgrom's (2002) ascending proxy auction and every bidder-optimal core-selecting auction. We provide a simple condition for each bidder to report his valuation truthfully, which can be expressed in a single sentence--any "rival" of my "rivals" is my "rival." The Vickrey outcome lies in the core if and only if this condition holds for every bidder; however, it is rarely satisfied.

Suggested Citation

  • Sano, Ryuji, 2011. "Incentives in core-selecting auctions with single-minded bidders," Games and Economic Behavior, Elsevier, vol. 72(2), pages 602-606, June.
  • Handle: RePEc:eee:gamebe:v:72:y:2011:i:2:p:602-606
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    1. Mu'alem, Ahuva & Nisan, Noam, 2008. "Truthful approximation mechanisms for restricted combinatorial auctions," Games and Economic Behavior, Elsevier, vol. 64(2), pages 612-631, November.
    2. Ausubel Lawrence M & Milgrom Paul R, 2002. "Ascending Auctions with Package Bidding," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 1(1), pages 1-44, August.
    3. Bikhchandani, Sushil & Ostroy, Joseph M., 2002. "The Package Assignment Model," Journal of Economic Theory, Elsevier, vol. 107(2), pages 377-406, December.
    4. Laurent Lamy, 2007. "The Ausubel-Milgrom Proxy Auction with Final Discounts," Working Papers 2007-25, Center for Research in Economics and Statistics.
    5. Mishra, Debasis & Parkes, David C., 2007. "Ascending price Vickrey auctions for general valuations," Journal of Economic Theory, Elsevier, vol. 132(1), pages 335-366, January.
    6. Robert Day & Paul Milgrom, 2008. "Core-selecting package auctions," International Journal of Game Theory, Springer;Game Theory Society, vol. 36(3), pages 393-407, March.
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    Cited by:

    1. Ryuji Sano, 2021. "Dynamic communication mechanism design," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 57(1), pages 163-180, July.
    2. Isa Hafalir & Hadi Yektaş, 2015. "Core deviation minimizing auctions," International Journal of Game Theory, Springer;Game Theory Society, vol. 44(2), pages 367-376, May.
    3. Ryuji Sano, 2015. "Improving Efficiency Using Reserve Prices: An Equilibrium Analysis of Core-Selecting Auctions," KIER Working Papers 926, Kyoto University, Institute of Economic Research.
    4. Ott, Marion, 2019. "Simple Bayesian and Ex-Post Equilibria in Combinatorial Auctions," VfS Annual Conference 2019 (Leipzig): 30 Years after the Fall of the Berlin Wall - Democracy and Market Economy 203616, Verein für Socialpolitik / German Economic Association.
    5. Ryuji Sano, 2016. "Iterative Revelation Mechanisms," KIER Working Papers 937, Kyoto University, Institute of Economic Research.
    6. Martin Bichler & Pasha Shabalin & Jürgen Wolf, 2013. "Do core-selecting Combinatorial Clock Auctions always lead to high efficiency? An experimental analysis of spectrum auction designs," Experimental Economics, Springer;Economic Science Association, vol. 16(4), pages 511-545, December.
    7. Ryuji Sano, 2018. "An equilibrium analysis of a core-selecting package auction with reserve prices," Review of Economic Design, Springer;Society for Economic Design, vol. 22(3), pages 101-122, December.
    8. Ott, Marion & Beck, Marissa, 2013. "Incentives for Overbidding in Minimum-Revenue Core-Selecting Auctions," VfS Annual Conference 2013 (Duesseldorf): Competition Policy and Regulation in a Global Economic Order 79946, Verein für Socialpolitik / German Economic Association.

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