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Approximate Common Knowledge Revisited

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  • Morris, S.

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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Bibliographic Info

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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Postal: U.S.A.; YALE UNIVERSITY, ECONOMIC GROWTH CENTER, YALE STATION NEW-HAVEN CONNECTICUT 06520 U.S.A
Phone: (203) 432-3610
Fax: (203) 432-3898
Web page: http://www.econ.yale.edu/~egcenter/
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Keywords: INFORMATION ; GAME THEORY;

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Cited by:
  1. Martin W. Cripps & Jeffrey C. Ely & George J. Mailath & Larry Samuelson, 2008. "Common Learning," Econometrica, Econometric Society, vol. 76(4), pages 909-933, 07.
  2. Robin Hanson, 2003. "For Bayesian Wannabes, Are Disagreements Not About Information?," Theory and Decision, Springer, vol. 54(2), pages 105-123, March.
  3. Christian Schmidt, 2006. "Quelques points de rencontre entre ├ęconomistes et psychologues," Revue ├ęconomique, Presses de Sciences-Po, vol. 57(2), pages 242-257.
  4. Wilson Perez, 2004. "Divide and Conquer: Noisy Communication in Networks, Power, and Wealth Distribution," Working Papers 2004.33, Fondazione Eni Enrico Mattei.
  5. Martin W. Cripps & Jeffrey C. Ely & George J. Mailath & Larry Samuelson, 2011. "Common Learning with Intertemporal Dependence," PIER Working Paper Archive 11-012, Penn Institute for Economic Research, Department of Economics, University of Pennsylvania.

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