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Multi-battle contests

Author

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  • Konrad, Kai A.
  • Kovenock, Dan

Abstract

We study equilibrium in a multistage race in which players compete in a sequence of simultaneous move component contests. Players may win a prize for winning each component contest, as well as a prize for winning the overall race. Each component contest is an all-pay auction with complete information. We characterize the unique subgame perfect equilibrium analytically and demonstrate that it exhibits endogenous uncertainty. Even a large lead by one player does not fully discourage the other player, and each feasible state is reached with positive probability in equilibrium (pervasiveness). Expected effort in the component contests may be non-monotonic in the closeness of the race and realized individual effort may exceed the value of the prize by a factor that is proportional to the maximum number of stage victories required.

Suggested Citation

  • Konrad, Kai A. & Kovenock, Dan, 2009. "Multi-battle contests," Games and Economic Behavior, Elsevier, vol. 66(1), pages 256-274, May.
    • Handle: RePEc:eee:gamebe:v:66:y:2009:i:1:p:256-274
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    More about this item

    Keywords

    All-pay auction Contest Race Conflict Multi-stage R&D Endogenous uncertainty Preemption Discouragement;

    JEL classification:

    • 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

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