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Robustness to incomplete information in repeated games

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Author Info

  • Takahashi, Satoru

    ()
    (Department of Economics, Princeton University)

  • Chassang, Sylvain

    ()
    (Department of Economics, Princeton University)

Abstract

This paper extends the framework of Kajii and Morris (1997) to study the question of robustness to incomplete information in repeated games. We show that dynamically robust equilibria can be characterized using a one-shot robustness principle that extends the one-shot deviation principle. Using this result, we compute explicitly the set of dynamically robust equilibrium values in the repeated prisoners' dilemma. We show that robustness requirements have sharp intuitive implications regarding when cooperation can be sustained, what strategies are best suited to sustain cooperation, and how changes in payoffs affect the sustainability of cooperation. We also show that a folk theorem in dynamically robust equilibria holds, but requires stronger identifiability conditions than the pairwise full rank condition of Fudenberg, Levine and Maskin (1994).

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File URL: http://econtheory.org/ojs/index.php/te/article/viewFile/20110049/4781/169
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Bibliographic Info

Article provided by Econometric Society in its journal Theoretical Economics.

Volume (Year): 6 (2011)
Issue (Month): 1 (January)
Pages:

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Handle: RePEc:the:publsh:795

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Web page: http://econtheory.org

Related research

Keywords: Robustness to incomplete information; one-shot robustness principle; repeated Prisoners' Dilemma; selective punishment; folk theorem;

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References

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  1. Frankel, David M. & Morris, Stephen & Pauzner, Ady, 2003. "Equilibrium Selection in Global Games with Strategic Complementarities," Staff General Research Papers 11920, Iowa State University, Department of Economics.
  2. Jonathan Weinstein & Muhamet Yildiz, 2007. "A Structure Theorem for Rationalizability with Application to Robust Predictions of Refinements," Econometrica, Econometric Society, vol. 75(2), pages 365-400, 03.
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Citations

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Cited by:
  1. Sugaya, Takuo & Takahashi, Satoru, 2013. "Coordination failure in repeated games with private monitoring," Journal of Economic Theory, Elsevier, vol. 148(5), pages 1891-1928.
  2. Sylvain Chassang & Gerard Padró i Miquel, 2010. "Conflict and Deterrence under Strategic Risk," The Quarterly Journal of Economics, MIT Press, vol. 125(4), pages 1821-1858, November.
  3. Olivier Compte & Andrew Postlewaite, 2013. "Folk Theorems, Second Version," PIER Working Paper Archive 13-022, Penn Institute for Economic Research, Department of Economics, University of Pennsylvania, revised 01 Apr 2013.
  4. Johannes Horner & Stefano Lovo & Tristan Tomala, 2009. "Belief-free Equilibria in Games with Incomplete Information: Characterization and Existence," Cowles Foundation Discussion Papers 1739, Cowles Foundation for Research in Economics, Yale University.
  5. Lovo, Stefano & Tomala, Tristan & Hörner, Johannes, 2009. "Belief-free equilibria in games with incomplete information: characterization and existence," Les Cahiers de Recherche 921, HEC Paris.

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