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Private-information group contests: Best-shot competition

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  • Barbieri, Stefano
  • Malueg, David A.

Abstract

We model competing groups when players' values for winning are private information, each group's performance equals the best effort (“best shot”) of its members, and the group with the best performance wins the contest. At the symmetric equilibrium of symmetric contests, increasing the number of competing teams may increase or decrease each team's performance, but it unambiguously increases the overall expected best shot. Depending on the elasticity of the distribution of players' values, individual, team, and contest performance may increase or decrease with team size. Considering just two competing groups that differ only in size, we show members of the smaller group use the more aggressive strategy, but, depending on the nature of uncertainty, either team may be more likely to win. More generally, when teams' value cdfs differ, increasing one team's size decreases (increases) that team's chance of winning if its value cdf is elastic (inelastic).

Suggested Citation

  • Barbieri, Stefano & Malueg, David A., 2016. "Private-information group contests: Best-shot competition," Games and Economic Behavior, Elsevier, vol. 98(C), pages 219-234.
  • Handle: RePEc:eee:gamebe:v:98:y:2016:i:c:p:219-234
    DOI: 10.1016/j.geb.2016.06.015
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    Cited by:

    1. Stefano Barbieri & Kai A. Konrad & David A. Malueg, 2020. "Preemption contests between groups," RAND Journal of Economics, RAND Corporation, vol. 51(3), pages 934-961, September.
    2. Martin Kolmar & Hendrik Rommeswinkel, 2020. "Group size and group success in conflicts," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 55(4), pages 777-822, December.
    3. Boosey, Luke & Brookins, Philip & Ryvkin, Dmitry, 2019. "Contests between groups of unknown size," Games and Economic Behavior, Elsevier, vol. 113(C), pages 756-769.
    4. Eliaz, Kfir & Wu, Qinggong, 2018. "A simple model of competition between teams," Journal of Economic Theory, Elsevier, vol. 176(C), pages 372-392.
    5. Arye Hillman & Ngo Van Long, 2017. "The social cost of contestable benefits," CIRANO Working Papers 2017s-11, CIRANO.
    6. Barbieri, Stefano & Kovenock, Dan & Malueg, David A. & Topolyan, Iryna, 2019. "Group contests with private information and the “Weakest Link”," Games and Economic Behavior, Elsevier, vol. 118(C), pages 382-411.
    7. Arye L. Hillman & Ngo Van Long, 2017. "Rent Seeking: The Social Cost of Contestable Benefits," CESifo Working Paper Series 6462, CESifo.
    8. Mercier, Jean-François, 2018. "Non-deterministic group contest with private information," Mathematical Social Sciences, Elsevier, vol. 95(C), pages 47-53.
    9. Baik, Kyung Hwan & Jung, Hanjoon Michael, 2021. "Contests with multiple alternative prizes: Public-good/bad prizes and externalities," Journal of Mathematical Economics, Elsevier, vol. 92(C), pages 103-116.
    10. Martin Kolmar & Hendrik Rommeswinkel, 0. "Group size and group success in conflicts," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 0, pages 1-46.
    11. Bose, Gautam & Konrad, Kai A., 2020. "Devil take the hindmost: Deflecting attacks to other defenders," Reliability Engineering and System Safety, Elsevier, vol. 204(C).
    12. Crutzen, Benoît S Y & Flamand, Sabine & Sahuguet, Nicolas, 2020. "A model of a team contest, with an application to incentives under list proportional representation," Journal of Public Economics, Elsevier, vol. 182(C).

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    More about this item

    Keywords

    Group contest; Private information; All-pay auction; Best shot;
    All these keywords.

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • D61 - Microeconomics - - Welfare Economics - - - Allocative Efficiency; Cost-Benefit Analysis
    • D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design
    • H41 - Public Economics - - Publicly Provided Goods - - - Public Goods

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