Approximate Common Knowledge Revisited

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Approximate Common Knowledge Revisited

Author Info

Morris, S.

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Stephen Morris

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 diffrences 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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Paper provided by Yale - Economic Growth Center in its series Papers with number 987r.

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Length: 23 pages
Date of creation: 1999
Date of revision:
Handle: RePEc:fth:yalegr:987r

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Related research
Keywords: INFORMATION ; GAME THEORY;

Other versions of this item:

Article
- Stephen Morris, 1999. "Approximate common knowledge revisited," International Journal of Game Theory, Springer, vol. 28(3), pages 385-408. [Downloadable!] (restricted)
Paper
- Stephen Morris, . "Approximate Common Knowledge Revisited," Penn CARESS Working Papers 6be11f49fbded40b2a623aebf, Penn Economics Department. [Downloadable!]
- Stephen Morris, . ""Approximate Common Knowledge Revisited''," CARESS Working Papres 96-06, University of Pennsylvania Center for Analytic Research and Economics in the Social Sciences. [Downloadable!]

Find related papers by JEL classification:
D80 - Microeconomics - - Information, Knowledge, and Uncertainty - - - General
D84 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Expectations; Speculations

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.)

Robin Hanson, 2003. "For Bayesian Wannabes, Are Disagreements Not About Information?," Theory and Decision, Springer, vol. 54(2), pages 105-123, March. [Downloadable!] (restricted)
Martin W. Cripps & Jeffrey C. Ely & George J. Mailath & Larry Samuelson, 2006. "Common Learning," Cowles Foundation Discussion Papers 1575, Cowles Foundation, Yale University. [Downloadable!]
Other versions:
- Martin W. Cripps & Jeffrey C. Ely & George J. Mailath & Larry Samuelson, 2006. "Common Learning," Levine's Bibliography 321307000000000355, UCLA Department of Economics. [Downloadable!]
- Martin W. Cripps & Jeffrey C. Ely & George J. Mailath & Larry Samuelson, 2006. "Common Learning," Cowles Foundation Discussion Papers 1575R, Cowles Foundation, Yale University, revised Jun 2007. [Downloadable!]
- Martin W. Cripps & Jeffrey C. Ely & George J. Mailath & Larry Samuelson, 2007. "Common Learning," PIER Working Paper Archive 07-018, Penn Institute for Economic Research, Department of Economics, University of Pennsylvania. [Downloadable!]
- Martin W. Cripps & Jeffrey C. Ely & George J. Mailath & Larry Samuelson, 2008. "Common Learning," Econometrica, Econometric Society, vol. 76(4), pages 909-933, 07. [Downloadable!] (restricted)
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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