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Core deviation minimizing auctions

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  • Isa Hafalir
  • Hadi Yektaş

Abstract

In a stylized environment with complementary products, we study a class of dominant strategy implementable direct mechanisms and focus on the objective of minimizing the expected surplus from core deviations. For this class of mechanisms, we formulate the core deviation minimization problem as a calculus of variations problem and numerically solve it for some interesting special cases. We then compare the core deviation surplus in the optimal auction (CDMA) to that in Vickrey-Clark-Groves mechanism (VCG) and core-selecting auctions (CSAs). We find that the expected surplus from core deviations can be significantly smaller in CDMA than that in both VCG and CSAs. Copyright Springer-Verlag Berlin Heidelberg 2015

Suggested Citation

  • 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.
    • Handle: RePEc:spr:jogath:v:44:y:2015:i:2:p:367-376
    DOI: 10.1007/s00182-014-0433-y
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    References listed on IDEAS

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    1. Peter Cramton, 2013. "Spectrum Auction Design," Review of Industrial Organization, Springer;The Industrial Organization Society, vol. 42(2), pages 161-190, March.
    2. Aytek Erdil & Paul Klemperer, 2010. "A New Payment Rule for Core-Selecting Package Auctions," Journal of the European Economic Association, MIT Press, vol. 8(2-3), pages 537-547, 04-05.
    3. , K. & ,, 2016. "On the impossibility of core-selecting auctions," Theoretical Economics, Econometric Society, vol. 11(1), January.
    4. Laurent Lamy, 2010. "Core-selecting package auctions: a comment on revenue-monotonicity," International Journal of Game Theory, Springer;Game Theory Society, vol. 39(3), pages 503-510, July.
    5. 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.
    6. Marshall, Robert C. & Marx, Leslie M., 2007. "Bidder collusion," Journal of Economic Theory, Elsevier, vol. 133(1), pages 374-402, March.
    7. Robert W. Day & Peter Cramton, 2012. "Quadratic Core-Selecting Payment Rules for Combinatorial Auctions," Operations Research, INFORMS, vol. 60(3), pages 588-603, June.
    8. Sano, Ryuji, 2011. "Incentives in core-selecting auctions with single-minded bidders," Games and Economic Behavior, Elsevier, vol. 72(2), pages 602-606, June.
    9. 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.
    10. Robert W. Day & S. Raghavan, 2007. "Fair Payments for Efficient Allocations in Public Sector Combinatorial Auctions," Management Science, INFORMS, vol. 53(9), pages 1389-1406, September.
    11. 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, 2015. "Improving Efficiency Using Reserve Prices: An Equilibrium Analysis of Core-Selecting Auctions," KIER Working Papers 926, Kyoto University, Institute of Economic Research.
    2. 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.
    3. Lawrence M. Ausubel & Oleg Baranov, 2020. "Core-selecting auctions with incomplete information," International Journal of Game Theory, Springer;Game Theory Society, vol. 49(1), pages 251-273, March.

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    More about this item

    Keywords

    Core; Auctions; Mechanism design; D44; C71;
    All these keywords.

    JEL classification:

    • D44 - Microeconomics - - Market Structure, Pricing, and Design - - - Auctions
    • C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games

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