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Approximate common knowledge revisited

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Author Info
Stephen Morris () (Department of Economics, University of Pennsylvania, 3718 Locust Walk, Philadelphia, PA 19104-6297, USA)

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Abstract

Suppose we replace "knowledge" by "belief with probability p" in standard definitions of common knowledge. Very different notions arise depending on the exact definition of common knowledge used in the substitution. This paper demonstrates those differences and identifies which notion is relevant in each of three contexts: equilibrium analysis in incomplete information games, best response dynamics in incomplete information games, and agreeing to disagree/no trade results.

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Publisher Info
Article provided by Springer in its journal International Journal of Game Theory.

Volume (Year): 28 (1999)
Issue (Month): 3 ()
Pages: 385-408
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Handle: RePEc:spr:jogath:v:28:y:1999:i:3:p:385-408

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Related research
Keywords: Common knowledge · agreeing to disagree;

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Cited by:
(explanations, Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.)
  1. Robin Hanson, 2003. "For Bayesian Wannabes, Are Disagreements Not About Information?," Theory and Decision, Springer, vol. 54(2), pages 105-123, March. [Downloadable!] (restricted)
  2. Martin W. Cripps & Jeffrey C. Ely & George J. Mailath & Larry Samuelson, 2006. "Common Learning," Levine's Bibliography 321307000000000355, UCLA Department of Economics. [Downloadable!]
    Other versions:
  3. Wilson Perez, 2004. "Divide and Conquer: Noisy Communication in Networks, Power, and Wealth Distribution," Working Papers 2004.33, Fondazione Eni Enrico Mattei. [Downloadable!]
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This page was last updated on 2009-11-25.

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