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Equilibrium player choices in team contests with multiple pairwise battles

Author

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  • Konishi, Hideo
  • Pan, Chen-Yu
  • Simeonov, Dimitar
Abstract
We consider games in which team leaders strategically choose the order of players sent to the battlefield in majoritarian team contests with multiple pairwise battles as in Fu et al. (2015). We consider one-shot order-choice games and battle-by-battle sequential player choice games. We show that as long as the number of players on each team is the same as the number of battles, the equilibrium winning probability of a team and the ex ante expected effort of each player in a multi-battle contest are independent of whether players' assignments are one-shot or battle-by-battle sequential. This equilibrium winning probability and ex ante expected total effort coincide with those where the player matching is chosen totally randomly with an equal probability lottery by the contest organizer. Finally, we show how player choices add subtleties to the equivalence result by examples.

Suggested Citation

  • Konishi, Hideo & Pan, Chen-Yu & Simeonov, Dimitar, 2022. "Equilibrium player choices in team contests with multiple pairwise battles," Games and Economic Behavior, Elsevier, vol. 132(C), pages 274-287.
    • Handle: RePEc:eee:gamebe:v:132:y:2022:i:c:p:274-287
    DOI: 10.1016/j.geb.2021.12.006
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    References listed on IDEAS

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    1. Konrad, Kai A. & Kovenock, Dan, 2009. "Multi-battle contests," Games and Economic Behavior, Elsevier, vol. 66(1), pages 256-274, May.
    2. Kai A Konrad, 2018. "Budget and Effort Choice in Sequential Colonel Blotto Campaigns," CESifo Economic Studies, CESifo Group, vol. 64(4), pages 555-576.
    3. Klumpp, Tilman & Polborn, Mattias K., 2006. "Primaries and the New Hampshire Effect," Journal of Public Economics, Elsevier, vol. 90(6-7), pages 1073-1114, August.
    4. Qiang Fu & Jingfeng Lu & Yue Pan, 2015. "Team Contests with Multiple Pairwise Battles," American Economic Review, American Economic Association, vol. 105(7), pages 2120-2140, July.
    5. Christopher Harris & John Vickers, 1987. "Racing with Uncertainty," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 54(1), pages 1-21.
    6. Hamilton, Jonathan & Romano, Richard E., 1998. "Equilibrium assignments in pairwise team contests: How to form political slates and tennis teams," European Journal of Political Economy, Elsevier, vol. 14(1), pages 101-114, February.
    7. Klumpp, Tilman & Konrad, Kai A. & Solomon, Adam, 2019. "The dynamics of majoritarian Blotto games," Games and Economic Behavior, Elsevier, vol. 117(C), pages 402-419.
    8. Malueg, David A. & Yates, Andrew J., 2005. "Equilibria and comparative statics in two-player contests," European Journal of Political Economy, Elsevier, vol. 21(3), pages 738-752, September.
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    Cited by:

    1. Barbieri, Stefano & Serena, Marco, 2024. "Winner's effort in multi-battle team contests," Games and Economic Behavior, Elsevier, vol. 145(C), pages 526-556.
    2. Feng, Xin & Jiao, Qian & Kuang, Zhonghong & Lu, Jingfeng, 2024. "Optimal prize design in team contests with pairwise battles," Journal of Economic Theory, Elsevier, vol. 215(C).

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    More about this item

    Keywords

    Group contest; Pairwise battles; Invariance result; Order choice game; Battle-by-battle player choice game;
    All these keywords.

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • D72 - Microeconomics - - Analysis of Collective Decision-Making - - - Political Processes: Rent-seeking, Lobbying, Elections, Legislatures, and Voting Behavior
    • D74 - Microeconomics - - Analysis of Collective Decision-Making - - - Conflict; Conflict Resolution; Alliances; Revolutions
    • D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design

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