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Ambiguity and long-run cooperation in strategic games

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  • Marco Rojas
  • Damián Vergara

Abstract

We study the effects of ambiguity on long-run cooperation in infinitely repeated strategic games. Using a simple parametric model of ambiguity, we study conditions for sustaining cooperative equilibria in the long-run. We apply our framework to the prisoner’s dilemma and duopoly models. We find that (i) ambiguity may affect the game’s structure eventually making the noncooperative equilibrium ex ante preferred; (ii) higher levels of ambiguity make long-run cooperation less likely since it makes punishment schemes less effective; and (iii) large levels of ambiguity may preclude the possibility of mutually beneficial long-run agreements, even when cooperation is beneficial from an ex ante perspective.

Suggested Citation

  • Marco Rojas & Damián Vergara, 2021. "Ambiguity and long-run cooperation in strategic games," Oxford Economic Papers, Oxford University Press, vol. 73(3), pages 1077-1098.
  • Handle: RePEc:oup:oxecpp:v:73:y:2021:i:3:p:1077-1098.
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    More about this item

    JEL classification:

    • C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games
    • 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
    • D43 - Microeconomics - - Market Structure, Pricing, and Design - - - Oligopoly and Other Forms of Market Imperfection
    • D81 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Criteria for Decision-Making under Risk and Uncertainty

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