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Subjective Uncertainty Over Behavior Strategies: A Correction

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  • Levine, David
  • Dekel, Eddie
  • Fudenberg, Drew

Abstract

In order to model the subjective uncertainty of a player over the behavior strategies of an opponent, one must consider the player's beliefs about the opponent's play at information sets that the player thinks have probability zero. This corregendum uses “trembles†to provide a definition of the convex hull of a set of behavior strategies. This corrects a definition we gave in [E. Dekel, D. Fudenberg, and D. K. Levine, 1999, J. Econ. Theory 89, 165–185], which led to two of the solution concepts we defined there not having the properties we intended.

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File URL: http://dash.harvard.edu/bitstream/handle/1/3200611/fudenberg_subjectivecorrection.pdf
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Bibliographic Info

Paper provided by Harvard University Department of Economics in its series Scholarly Articles with number 3200611.

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Date of creation: 2002
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Publication status: Published in Journal of Economic Theory
Handle: RePEc:hrv:faseco:3200611

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  1. David Kreps & Robert Wilson, 1998. "Sequential Equilibria," Levine's Working Paper Archive 237, David K. Levine.
  2. Pearce, David G, 1984. "Rationalizable Strategic Behavior and the Problem of Perfection," Econometrica, Econometric Society, vol. 52(4), pages 1029-50, July.
  3. Drew Fudenberg & Jean Tirole, 1991. "Game Theory," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262061414, January.
  4. Asheim,G.B. & Perea,A., 2000. "Lexicographic probabilities and rationalizability in extensive games," Memorandum 38/2000, Oslo University, Department of Economics.
  5. D. B. Bernheim, 2010. "Rationalizable Strategic Behavior," Levine's Working Paper Archive 514, David K. Levine.
  6. Eddie Dekel & Drew Fudenberg & David K. Levine, 1999. "Payoff Information and Self-Confirming Equilibrium," Levine's Working Paper Archive 172, David K. Levine.
  7. D. Pearce, 2010. "Rationalizable Strategic Behavior and the Problem of Perfection," Levine's Working Paper Archive 523, David K. Levine.
  8. Roger B. Myerson, 1986. "Axiomatic Foundations of Bayesian Decision Theory," Discussion Papers 671, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
  9. Blume, Lawrence & Brandenburger, Adam & Dekel, Eddie, 1991. "Lexicographic Probabilities and Equilibrium Refinements," Econometrica, Econometric Society, vol. 59(1), pages 81-98, January.
  10. Battigalli, Pierpaolo, 1996. "Strategic Independence and Perfect Bayesian Equilibria," Journal of Economic Theory, Elsevier, vol. 70(1), pages 201-234, July.
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Cited by:
  1. Perea, Andrés, 2014. "Belief in the opponentsʼ future rationality," Games and Economic Behavior, Elsevier, vol. 83(C), pages 231-254.
  2. Joseph Greenberg & Sudheer Gupta & Xiao Luo, 2003. "Towering over Babel: Worlds Apart but Acting Together," IEAS Working Paper : academic research 03-A009, Institute of Economics, Academia Sinica, Taipei, Taiwan.
  3. Joseph Greenberg & Sudheer Gupta & Xiao Luo, 2009. "Mutually acceptable courses of action," Economic Theory, Springer, vol. 40(1), pages 91-112, July.
  4. Sheng-Chieh Huang & Xiao Luo, 2008. "Stability, sequential rationality, and subgame consistency," Economic Theory, Springer, vol. 34(2), pages 309-329, February.
  5. Asheim, Geir B. & Perea, Andres, 2005. "Sequential and quasi-perfect rationalizability in extensive games," Games and Economic Behavior, Elsevier, vol. 53(1), pages 15-42, October.

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