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Monotone equilibrium of two-bidder all-pay auctions Redux

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  • Lu, Jingfeng
  • Parreiras, Sérgio O.

Abstract

In this paper, we revisit the two-bidder asymmetric all-pay auction of Amann and Leininger (1996) by allowing interdependent values and correlated signals. Both values and signals are distributed on continuous supports. We provide conditions for the existence and uniqueness of a monotone pure-strategy equilibrium (MPSE), and constructively characterize the MPSE when it exists. We find that given the marginal distributions of the signals, the equilibrium allocation is solely determined by how bidders' values depend on their signals. In particular, the equilibrium allocation does not depend on how bidders' signals are correlated.

Suggested Citation

  • Lu, Jingfeng & Parreiras, Sérgio O., 2017. "Monotone equilibrium of two-bidder all-pay auctions Redux," Games and Economic Behavior, Elsevier, vol. 104(C), pages 78-91.
    • Handle: RePEc:eee:gamebe:v:104:y:2017:i:c:p:78-91
    DOI: 10.1016/j.geb.2017.03.005
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    Cited by:

    1. Zheng, Charles Z., 2019. "Necessary and sufficient conditions for peace: Implementability versus security," Journal of Economic Theory, Elsevier, vol. 180(C), pages 135-166.
    2. Shanglyu Deng & Hanming Fang & Qiang Fu & Zenan Wu, 2023. "Information Favoritism and Scoring Bias in Contests," PIER Working Paper Archive 23-002, Penn Institute for Economic Research, Department of Economics, University of Pennsylvania.
    3. Cohen, Chen & Lagziel, David & Levi, Ofer & Sela, Aner, 2023. "The role of the second prize in all-pay auctions with two heterogeneous prizes," Journal of Mathematical Economics, Elsevier, vol. 105(C).
    4. Jingfeng Lu & Hongkun Ma & Zhe Wang, 2018. "Ranking Disclosure Policies In All‐Pay Auctions," Economic Inquiry, Western Economic Association International, vol. 56(3), pages 1464-1485, July.
    5. Zhuoqiong Chen, 2021. "All-pay auctions with private signals about opponents’ values," Review of Economic Design, Springer;Society for Economic Design, vol. 25(1), pages 33-64, June.
    6. Eliaz, Kfir & Wu, Qinggong, 2018. "A simple model of competition between teams," Journal of Economic Theory, Elsevier, vol. 176(C), pages 372-392.
    7. Prokopovych, Pavlo & Yannelis, Nicholas C., 2023. "On monotone pure-strategy Bayesian-Nash equilibria of a generalized contest," Games and Economic Behavior, Elsevier, vol. 140(C), pages 348-362.
    8. Chi, Chang Koo & Murto, Pauli & Välimäki, Juuso, 2019. "All-pay auctions with affiliated binary signals," Journal of Economic Theory, Elsevier, vol. 179(C), pages 99-130.
    9. Chi, Chang Koo, 2018. "An analysis of the two-bidder all-pay auction with common values," Discussion Paper Series in Economics 17/2018, Norwegian School of Economics, Department of Economics.

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    More about this item

    Keywords

    All-pay auctions; Asymmetries; Contests; Correlated signals; Interdependent valuations;
    All these keywords.

    JEL classification:

    • D44 - Microeconomics - - Market Structure, Pricing, and Design - - - Auctions
    • D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design
    • D72 - Microeconomics - - Analysis of Collective Decision-Making - - - Political Processes: Rent-seeking, Lobbying, Elections, Legislatures, and Voting Behavior

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