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Incentives for Overbidding in Minimum-Revenue Core-Selecting Auctions

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  • Ott, Marion
  • Beck, Marissa

Abstract

We find new equilibria of minimum-revenue core-selecting (MRCS) auctions that, in contrast to previously identified equilibria, involve overbidding - bidding more than one's true value for some packages of goods. With full information, every MRCS auction in every possible setting has equilibria with overbidding and these equilibria have different properties than the previously known equilibria with bid shading. Namely, they can lead to strictly higher revenues for the seller and larger price differences among bidders. Previous studies of MRCS games with incomplete information assumed restricted strategy spaces that prevented overbidding. In this paper, we allow bidders access to their complete strategy sets and show that, in some settings, overbidding occurs in all Bayesian equilibria in undominated strategies. In a simple setting with independent private values, equilibrium strategies of a particular set of MRCS auctions employ a mixture of bid shading and overbidding. These new equilibria improve expected effi ciency relative to equilibria with restricted strategy spaces and lead to higher expected revenues than those from the Vickrey package auction. A second incomplete-information setting demonstrates that equilibria with overbidding can be in some sense unique. In this setting, every Bayesian equilibrium in undominated strategies of every MRCS auction has at least one bidder who overbids and there is no bid shading on winning packages. Overbidding eliminates the threshold problem, leading to an effi cient assignment and payoffs that are in the core with respect to the true values.

Suggested Citation

  • 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.
    • Handle: RePEc:zbw:vfsc13:79946
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    References listed on IDEAS

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    1. 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.
    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.
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    4. 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.
    5. , K. & ,, 2016. "On the impossibility of core-selecting auctions," Theoretical Economics, Econometric Society, vol. 11(1), January.
    6. Salonen, Hannu, 1996. "On the Existence of Undominated Nash Equilibria in Normal Form Games," Games and Economic Behavior, Elsevier, vol. 14(2), pages 208-219, June.
    7. 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.
    8. 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.
    9. Sano, Ryuji, 2011. "Incentives in core-selecting auctions with single-minded bidders," Games and Economic Behavior, Elsevier, vol. 72(2), pages 602-606, June.
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    Cited by:

    1. 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.
    2. Heczko, Alexander & Kittsteiner, Thomas & Ott, Marion, 2018. "The Performance of Core-Selecting Auctions: An Experiment," EconStor Preprints 176842, ZBW - Leibniz Information Centre for Economics.
    3. Jonathan Levin & Andrzej Skrzypacz, 2014. "Are Dynamic Vickrey Auctions Practical?: Properties of the Combinatorial Clock Auction," NBER Working Papers 20487, National Bureau of Economic Research, Inc.
    4. Jonathan Levin & Andrzej Skrzypacz, 2016. "Properties of the Combinatorial Clock Auction," American Economic Review, American Economic Association, vol. 106(9), pages 2528-2551, September.
    5. Thomas Kittsteiner & Marion Ott & Richard Steinberg, 2022. "Competing Combinatorial Auctions," Information Systems Research, INFORMS, vol. 33(4), pages 1130-1137, December.
    6. Kagel, John H. & Lien, Yuanchuan & Milgrom, Paul, 2014. "Ascending prices and package bidding: Further experimental analysis," Games and Economic Behavior, Elsevier, vol. 85(C), pages 210-231.
    7. Benedikt Bünz & Benjamin Lubin & Sven Seuken, 2022. "Designing Core-Selecting Payment Rules: A Computational Search Approach," Information Systems Research, INFORMS, vol. 33(4), pages 1157-1173, December.
    8. 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.
    9. 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.

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    More about this item

    JEL classification:

    • D44 - Microeconomics - - Market Structure, Pricing, and Design - - - Auctions
    • D02 - Microeconomics - - General - - - Institutions: Design, Formation, Operations, and Impact
    • L13 - Industrial Organization - - Market Structure, Firm Strategy, and Market Performance - - - Oligopoly and Other Imperfect Markets

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