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The value of a draw

Author

Listed:
  • Casilda Lasso de la Vega

    (University of the Basque Country)

  • Oscar Volij

    (Ben-Gurion University of the Negev)

Abstract

We model a match as a recursive zero-sum game with three possible outcomes: Player 1 wins, player 2 wins, or there is a draw. We focus on matches whose point games also have three possible outcomes: Player 1 scores the point, player 2 scores the point, or the point is drawn in which case the point game is repeated. We show that a value of a draw can be attached to each state so that an easily computed stationary equilibrium exists in which players’ strategies can be described as minimax behavior in the point games induced by these values.

Suggested Citation

  • Casilda Lasso de la Vega & Oscar Volij, 2020. "The value of a draw," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 70(4), pages 1023-1044, November.
    • Handle: RePEc:spr:joecth:v:70:y:2020:i:4:d:10.1007_s00199-018-1140-x
    DOI: 10.1007/s00199-018-1140-x
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    References listed on IDEAS

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    Cited by:

    1. Rabah Amir, 2020. "Special Issue: Supermodularity and Monotonicity in Economics," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 70(4), pages 907-911, November.

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    More about this item

    Keywords

    Matches; Stochastic games; Recursive games; Draws;
    All these keywords.

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • C73 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Stochastic and Dynamic Games; Evolutionary Games

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