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Contests With Draws: Axiomatization And Equilibrium

Author

Listed:
  • Alberto Vesperoni
  • Anil Yildizparlak

Abstract

We introduce and axiomatize a class of single‐winner contest success functions that embody the possibility of a draw. We then analyze the game of contest that our success functions induce, having different prizes delivered in the occurrence of a win and a draw. We identify conditions for the existence and uniqueness of a symmetric interior Nash equilibrium and show that equilibrium efforts and equilibrium rent dissipation can be larger than in a Tullock contest (with no possibility of a draw) due to increased competition even if the draw‐prize is null. These results suggest that a contest designer may profit from introducing the possibility of a draw. Finally, we show that this approach naturally extends to multiprize contests with multiple draws across different subsets of the set of players. (JEL C72, D72, D74)

Suggested Citation

  • Alberto Vesperoni & Anil Yildizparlak, 2019. "Contests With Draws: Axiomatization And Equilibrium," Economic Inquiry, Western Economic Association International, vol. 57(3), pages 1597-1616, July.
    • Handle: RePEc:bla:ecinqu:v:57:y:2019:i:3:p:1597-1616
    DOI: 10.1111/ecin.12780
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    Citations

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    Cited by:

    1. Yizhaq Minchuk, 2022. "Winner‐pay contests with a no‐winner possibility," Managerial and Decision Economics, John Wiley & Sons, Ltd., vol. 43(6), pages 1874-1879, September.
    2. Franke, Jörg & Metzger, Lars P., 2023. "Repeated Contests with Draws," Ruhr Economic Papers 1016, RWI - Leibniz-Institut für Wirtschaftsforschung, Ruhr-University Bochum, TU Dortmund University, University of Duisburg-Essen.
    3. Leppälä, Samuli, 2021. "A partially exclusive rent-seeking contest," Journal of Economic Behavior & Organization, Elsevier, vol. 187(C), pages 60-75.
    4. Goel, Sumit & Goyal, Amit, 2023. "Optimal tie-breaking rules," Journal of Mathematical Economics, Elsevier, vol. 108(C).
    5. Kjell Hausken, 2021. "Axiomatizing additive multi-effort contests," SN Business & Economics, Springer, vol. 1(11), pages 1-12, November.
    6. Li, Bo & Wu, Zenan & Xing, Zeyu, 2023. "Optimally biased contests with draws," Economics Letters, Elsevier, vol. 226(C).
    7. Anil Yildizparlak, 2018. "An Application of Contest Success Functions for Draws on European Soccer," Journal of Sports Economics, , vol. 19(8), pages 1191-1212, December.

    More about this item

    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

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