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An algorithm for two-player repeated games with perfect monitoring

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Author Info

  • Abreu, Dilip

    ()
    (Department of Economics, Princeton University)

  • Sannikov, Yuliy

    ()
    (Department of Economics, Princeton University)

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    Abstract

    Consider repeated two-player games with perfect monitoring and discounting. We provide an algorithm that computes the set V* of payoff pairs of all pure-strategy subgame perfect equilibria with public randomization. The algorithm provides significant efficiency gains over the existing implementations of the algorithm from Abreu, Pearce and Stacchetti (1990). These efficiency gains arise from a better understanding of the manner in which extreme points of the equilibrium payoff set are generated. An important theoretical implication of our algorithm is that the set of extreme points E of V* is finite. Indeed, |E| ≤ 3|A|, where A is the set of action profiles of the stage game.

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    File URL: http://econtheory.org/ojs/index.php/te/article/viewFile/20140313/10806/321
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    Bibliographic Info

    Article provided by Econometric Society in its journal Theoretical Economics.

    Volume (Year): 9 (2014)
    Issue (Month): 2 (May)
    Pages:

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    Handle: RePEc:the:publsh:1302

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    Web page: http://econtheory.org

    Related research

    Keywords: Repeated games; perfect monitoring; computation;

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