0 there is a nondegenerate interval Δ(ϵ)⊂(0,1), such that if the biddersʼ discount factor belongs to Δ(ϵ), then there exists a Perfect Public Equilibrium with payoffs ϵ-close to the first-best payoffs."> 0 there is a nondegenerate interval Δ(ϵ)⊂(0,1), such that if the biddersʼ discount factor belongs to Δ(ϵ), then there exists a Perfect Public Equilibrium with payoffs ϵ-close to the first-best payoffs.">
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First-best collusion without communication

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  • Rachmilevitch, Shiran
Abstract
I study a 2-bidder infinitely repeated IPV first-price auction without transfers, communication, or public randomization, where each bidderʼs valuation can assume, in each of the (statistically independent) stage games, one of three possible values. Under certain distributional assumptions, the following holds: for every ϵ>0 there is a nondegenerate interval Δ(ϵ)⊂(0,1), such that if the biddersʼ discount factor belongs to Δ(ϵ), then there exists a Perfect Public Equilibrium with payoffs ϵ-close to the first-best payoffs.

Suggested Citation

  • Rachmilevitch, Shiran, 2014. "First-best collusion without communication," Games and Economic Behavior, Elsevier, vol. 83(C), pages 224-230.
    • Handle: RePEc:eee:gamebe:v:83:y:2014:i:c:p:224-230
    DOI: 10.1016/j.geb.2013.11.007
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    References listed on IDEAS

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    1. Birgit Heydenreich & Rudolf Müller & Marc Uetz & Rakesh V. Vohra, 2009. "Characterization of Revenue Equivalence," Econometrica, Econometric Society, vol. 77(1), pages 307-316, January.
    2. McAfee, R Preston & McMillan, John, 1992. "Bidding Rings," American Economic Review, American Economic Association, vol. 82(3), pages 579-599, June.
      • McAfee, R. Preston & McMillan, John., 1990. "Bidding Rings," Working Papers 726, California Institute of Technology, Division of the Humanities and Social Sciences.
    3. Athey, Susan & Bagwell, Kyle, 2001. "Optimal Collusion with Private Information," RAND Journal of Economics, The RAND Corporation, vol. 32(3), pages 428-465, Autumn.
    4. Susan Athey & Kyle Bagwell, 2008. "Collusion With Persistent Cost Shocks," Econometrica, Econometric Society, vol. 76(3), pages 493-540, May.
    5. Rachmilevitch, Shiran, 2013. "Endogenous bid rotation in repeated auctions," Journal of Economic Theory, Elsevier, vol. 148(4), pages 1714-1725.
    6. Mailath, George J. & Zemsky, Peter, 1991. "Collusion in second price auctions with heterogeneous bidders," Games and Economic Behavior, Elsevier, vol. 3(4), pages 467-486, November.
    7. Blume, Andreas & Heidhues, Paul, 2006. "Private monitoring in auctions," Journal of Economic Theory, Elsevier, vol. 131(1), pages 179-211, November.
    8. Johannes Hörner & Julian Jamison, 2007. "Collusion with (almost) no information," RAND Journal of Economics, RAND Corporation, vol. 38(3), pages 804-822, September.
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    Cited by:

    1. Kaplan, Todd R. & Zamir, Shmuel, 2015. "Advances in Auctions," Handbook of Game Theory with Economic Applications,, Elsevier.
    2. Noam Shamir, 2017. "Cartel Formation Through Strategic Information Leakage in a Distribution Channel," Marketing Science, INFORMS, vol. 36(1), pages 70-88, January.

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    More about this item

    Keywords

    Auctions; Collusion; Repeated games;
    All these keywords.

    JEL classification:

    • D21 - Microeconomics - - Production and Organizations - - - Firm Behavior: Theory
    • D43 - Microeconomics - - Market Structure, Pricing, and Design - - - Oligopoly and Other Forms of Market Imperfection
    • D44 - Microeconomics - - Market Structure, Pricing, and Design - - - Auctions
    • D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design

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