Approximate Common Knowledge Revisited
AbstractSuppose, 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 InfoPaper provided by Yale - Economic Growth Center in its series Papers with number 987r.
Length: 23 pages
Date of creation: 1999
Date of revision:
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INFORMATION ; GAME THEORY;
Other versions of this item:
- Stephen Morris, . "Approximate Common Knowledge Revisited," Penn CARESS Working Papers 6be11f49fbded40b2a623aebf, Penn Economics Department.
- Stephen Morris, . ""Approximate Common Knowledge Revisited''," CARESS Working Papres, University of Pennsylvania Center for Analytic Research and Economics in the Social Sciences 96-06, University of Pennsylvania Center for Analytic Research and Economics in the Social Sciences.
- D80 - Microeconomics - - Information, Knowledge, and Uncertainty - - - General
- D84 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Expectations; Speculations
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- Martin W. Cripps & Jeffrey C. Ely & George J. Mailath & Larry Samuelson, 2007.
PIER Working Paper Archive
07-018, Penn Institute for Economic Research, Department of Economics, University of Pennsylvania.
- Martin W. Cripps & Jeffrey C. Ely & George J. Mailath & Larry Samuelson, 2006. "Common Learning," Levine's Bibliography 321307000000000355, UCLA Department of Economics.
- Martin W. Cripps & Jeffrey C. Ely & George J. Mailath & Larry Samuelson, 2006. "Common Learning," Cowles Foundation Discussion Papers 1575R, Cowles Foundation for Research in Economics, Yale University, revised Jun 2007.
- Martin W. Cripps & Jeffrey C. Ely & George J. Mailath & Larry Samuelson, 2006. "Common Learning," Cowles Foundation Discussion Papers 1575, Cowles Foundation for Research in Economics, Yale University.
- Wilson Perez, 2004. "Divide and Conquer: Noisy Communication in Networks, Power, and Wealth Distribution," Working Papers 2004.33, Fondazione Eni Enrico Mattei.
- Martin Cripps & Jeffrey Ely & George Mailath & Larry Samuelson, 2013.
"Common learning with intertemporal dependence,"
International Journal of Game Theory,
Springer, vol. 42(1), pages 55-98, February.
- Christian Schmidt, 2006. "Quelques points de rencontre entre économistes et psychologues," Revue économique, Presses de Sciences-Po, vol. 57(2), pages 242-257.
- Robin Hanson, 2003. "For Bayesian Wannabes, Are Disagreements Not About Information?," Theory and Decision, Springer, vol. 54(2), pages 105-123, March.
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