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The endgame

Author

Listed:
  • Banerjee, Anurag N.
  • Markovich, Sarit
  • Seccia, Giulio

Abstract

On December 1st, 2009 President Obama announced that the U.S. troops would have started leaving Afghanistan on July 2011. Rather than simply waiting “the U.S. troops out,” the Taliban forces responded with a spike in attacks followed by a decline as the withdrawal date approached. These, at first, counter-intuitive phenomena, are addressed by studying a two-player, zero-sum game where the duration of the strategic interaction is either known or unknown (i.e., the game can stop at any time with positive probability). We find that, conditional on the players' relative position, players' equilibrium strategies are non-stationary in a known duration game but they are stationary in the unknown duration case. Hence, introducing uncertainty, no matter how small, changes players' optimal behavior qualitatively and discontinuously: qualitatively because their behavior becomes stationary; discontinuously because the equilibrium is stationary only as far as the continuation probability is bounded away from 1.

Suggested Citation

  • Banerjee, Anurag N. & Markovich, Sarit & Seccia, Giulio, 2019. "The endgame," Games and Economic Behavior, Elsevier, vol. 118(C), pages 176-192.
    • Handle: RePEc:eee:gamebe:v:118:y:2019:i:c:p:176-192
    DOI: 10.1016/j.geb.2019.08.010
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    More about this item

    Keywords

    Stochastic games; Information; Conflict resolution;
    All these keywords.

    JEL classification:

    • C73 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Stochastic and Dynamic Games; Evolutionary Games
    • D74 - Microeconomics - - Analysis of Collective Decision-Making - - - Conflict; Conflict Resolution; Alliances; Revolutions
    • D83 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Search; Learning; Information and Knowledge; Communication; Belief; Unawareness

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