Finite Order Implications of Common Priors
AbstractI characterize the implications of the common prior assumption for finite orders of beliefs about beliefs at a state and show that in finite models, the only such implications are those stemming from the weaker assumption of a common support. More precisely, given any finite N and any finite partitions model where priors have the same support, there is another finite partitions model with common priors that has the same nth order beliefs and knowledge for all n≤N. Copyright The Econometric Society 2003.
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Bibliographic InfoArticle provided by Econometric Society in its journal Econometrica.
Volume (Year): 71 (2003)
Issue (Month): 4 (07)
Other versions of this item:
- C7 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory
- D8 - Microeconomics - - Information, Knowledge, and Uncertainty
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- Werlang, Sérgio Ribeiro da Costa, 1988. "Common Knowledge," Economics Working Papers (Ensaios Economicos da EPGE) 118, FGV/EPGE Escola Brasileira de Economia e Finanças, Getulio Vargas Foundation (Brazil).
- Paul Milgrom & Nancy L.Stokey, 1979.
"Information, Trade, and Common Knowledge,"
377R, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
- Morris, Stephen, 1994. "Trade with Heterogeneous Prior Beliefs and Asymmetric Information," Econometrica, Econometric Society, vol. 62(6), pages 1327-47, November.
- Brandenburger Adam & Dekel Eddie, 1993. "Hierarchies of Beliefs and Common Knowledge," Journal of Economic Theory, Elsevier, vol. 59(1), pages 189-198, February.
- R. Aumann, 2010.
"Correlated Equilibrium as an expression of Bayesian Rationality,"
513, UCLA Department of Economics.
- Aumann, Robert J, 1987. "Correlated Equilibrium as an Expression of Bayesian Rationality," Econometrica, Econometric Society, vol. 55(1), pages 1-18, January.
- Robert J. Aumann, 2010. "Correlated Equilibrium as an expression of Bayesian Rationality," Levine's Working Paper Archive 661465000000000377, David K. Levine.
- Eddie Dekel & Drew Fudenberg & Stephen Morris, 2005.
"Topologies on Types,"
Harvard Institute of Economic Research Working Papers
2093, Harvard - Institute of Economic Research.
- Eddie Dekel & Drew Fudenberg, 2006. "Topologies on Type," Discussion Papers 1417, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
- Eddie Dekel & Drew Fudenberg & Stephen Morris, 2005. "Topologies on Types," Levine's Bibliography 784828000000000061, UCLA Department of Economics.
- Dekel, Eddie & Fudenberg, Drew & Morris, Stephen, 2006. "Topologies on Types," Scholarly Articles 3160489, Harvard University Department of Economics.
- Barton L. Lipman, 2005.
"Finite Order Implications of Common Priors in Infinite Models,"
Boston University - Department of Economics - Working Papers Series
WP2005-009, Boston University - Department of Economics.
- Lipman, Barton L., 2010. "Finite order implications of common priors in infinite models," Journal of Mathematical Economics, Elsevier, vol. 46(1), pages 56-70, January.
- Tsakas Elias, 2012. "Rational belief hierarchies," Research Memoranda 004, Maastricht : METEOR, Maastricht Research School of Economics of Technology and Organization.
- Friedenberg, Amanda, 2010. "When do type structures contain all hierarchies of beliefs?," Games and Economic Behavior, Elsevier, vol. 68(1), pages 108-129, January.
- Jeff Ely, 2003.
"Foundations of Dominant Strategy Mechanisms,"
Theory workshop papers
658612000000000064, UCLA Department of Economics.
- Jeffrey C. Ely & Kim-Sau Chung, 2004. "Foundations of Dominant Strategy Mechanisms," Econometric Society 2004 North American Summer Meetings 169, Econometric Society.
- Kim-Sau Chung & Jeffrey C. Ely, 2003. "Foundations of Dominant Strategy Mechanisms," Discussion Papers 1372, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
- Jose Alvaro Rodrigues-Neto, 2011.
"The Cycles Approach,"
ANU Working Papers in Economics and Econometrics
2011-547, Australian National University, College of Business and Economics, School of Economics.
- Oyama, Daisuke & Tercieux, Olivier, 2012.
"On the strategic impact of an event under non-common priors,"
Games and Economic Behavior,
Elsevier, vol. 74(1), pages 321-331.
- Oyama, Daisuke & Tercieux, Olivier, 2005. "On the Strategic Impact of an Event under Non-Common Priors," MPRA Paper 4559, University Library of Munich, Germany.
- Takashi Kunimoto, 2006. "The Robustness Of Equilibrium Analysis: The Case Of Undominated Nash Equilibrium," Departmental Working Papers 2006-26, McGill University, Department of Economics.
- Daisuke Oyama & Olivier Tercieux, 2007.
"Robust Equilibria under Non-Common Priors,"
843644000000000210, UCLA Department of Economics.
- George-Marios Angeletos & Jennifer La'O, 2009. "Incomplete Information, Higher-Order Beliefs and Price Inertia," NBER Working Papers 15003, National Bureau of Economic Research, Inc.
- Barelli, Paulo, 2009. "Consistency of beliefs and epistemic conditions for Nash and correlated equilibria," Games and Economic Behavior, Elsevier, vol. 67(2), pages 363-375, November.
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