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Collusive communication schemes in a first-price auction

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  • Helmuts Āzacis

    ()

  • Péter Vida

    ()

Abstract

We study optimal bidder collusion in an independent private value first-price auction with two bidders and two possible valuations. There is a benevolent center that knows the bidders’ valuations and sends private signals to the bidders in order to maximize their expected payoffs. After receiving their signals, bidders compete in a standard first-price auction, that is, without side payments or bid restrictions. We find that to improve on the bidders’ payoffs, the signals must depend upon the valuations. If the bidders’ signals are restricted to be non-correlated (depend only on the opponent’s valuation), then the bidders’ payoffs are strictly higher than the larger possible set of signals. If the signals are restricted to be perfectly correlated (public), only two possible signals are needed to achieve the highest bidder payoffs. However, these payoffs can be improved upon if the two signals are allowed to be imperfectly correlated. Copyright Springer-Verlag Berlin Heidelberg 2015

Suggested Citation

  • Helmuts Āzacis & Péter Vida, 2015. "Collusive communication schemes in a first-price auction," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 58(1), pages 125-160, January.
  • Handle: RePEc:spr:joecth:v:58:y:2015:i:1:p:125-160
    DOI: 10.1007/s00199-013-0778-7
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    References listed on IDEAS

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    Cited by:

    1. Azacis, Helmuts, 2017. "Information Disclosure by a Seller in Sequential First-Price Auctions," Cardiff Economics Working Papers E2017/2, Cardiff University, Cardiff Business School, Economics Section.
    2. Dirk Bergemann & Benjamin Brooks & Stephen Morris, 2017. "First‐Price Auctions With General Information Structures: Implications for Bidding and Revenue," Econometrica, Econometric Society, vol. 85, pages 107-143, January.
    3. Kfir Eliaz & Roberto Serrano, 2014. "Sending information to interactive receivers playing a generalized prisoners’ dilemma," International Journal of Game Theory, Springer;Game Theory Society, vol. 43(2), pages 245-267, May.
    4. Lorentziadis, Panos L., 2016. "Optimal bidding in auctions from a game theory perspective," European Journal of Operational Research, Elsevier, vol. 248(2), pages 347-371.
    5. Gregory Pavlov, 2013. "Correlated Equilibria and Communication Equilibria in All-pay Auctions," UWO Department of Economics Working Papers 20132, University of Western Ontario, Department of Economics.
    6. Dirk Bergemann & Benjamin Brooks & Stephen Morris, 2013. "Extremal Information Structures in the First Price Auction," Cowles Foundation Discussion Papers 1926, Cowles Foundation for Research in Economics, Yale University.
    7. Helmuts Āzacis & Péter Vida, 2015. "Collusive communication schemes in a first-price auction," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 58(1), pages 125-160, January.

    More about this item

    Keywords

    Bidder-optimal signal structure; Bid coordination mechanism; Collusion; (Bayes) correlated equilibrium; First-price auction; Public and private signals; D44; D82;

    JEL classification:

    • D44 - Microeconomics - - Market Structure, Pricing, and Design - - - Auctions
    • D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design

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