Robustness to incomplete information in repeated games
AbstractThis 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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Bibliographic InfoArticle provided by Econometric Society in its journal Theoretical Economics.
Volume (Year): 6 (2011)
Issue (Month): 1 (January)
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Web page: http://econtheory.org
Robustness to incomplete information; one-shot robustness principle; repeated Prisoners' Dilemma; selective punishment; folk theorem;
Find related papers by 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
- D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design
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- 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.
- Frankel, David M. & Morris, Stephen & Pauzner, Ady, 2003.
"Equilibrium selection in global games with strategic complementarities,"
Journal of Economic Theory,
Elsevier, vol. 108(1), pages 1-44, January.
- David M. Frankel & Stephen Morris & Ady Pauzner, 2000. "Equilibrium Selection in Global Games with Strategic Complementarities," Econometric Society World Congress 2000 Contributed Papers 1490, Econometric Society.
- 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.
- David M. Frankel & Stephen Morris & Ady Pauzner, 2001. "Equilibrium Selection in Global Games with Strategic Complementarities," Cowles Foundation Discussion Papers 1336, Cowles Foundation for Research in Economics, Yale University.
- Ronald Stauber, 2014. "A framework for robustness to ambiguity of higher-order beliefs," International Journal of Game Theory, Springer, vol. 43(3), pages 525-550, August.
- Sylvain Chassang & Gerard Padro i Miquel, 2008.
"Conflict and Deterrence under Strategic Risk,"
NBER Working Papers
13964, National Bureau of Economic Research, Inc.
- 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.
- Sugaya, Takuo & Takahashi, Satoru, 2013. "Coordination failure in repeated games with private monitoring," Journal of Economic Theory, Elsevier, vol. 148(5), pages 1891-1928.
- 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.
- 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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