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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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    1. Kai A Konrad, 2018. "Budget and Effort Choice in Sequential Colonel Blotto Campaigns," CESifo Economic Studies, CESifo, vol. 64(4), pages 555-576.
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    4. Konrad, Kai A. & Kovenock, Dan, 2009. "Multi-battle contests," Games and Economic Behavior, Elsevier, vol. 66(1), pages 256-274, May.
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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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