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Finite Order Implications of Common Priors

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  • Barton L. Lipman

    (University of Western Ontario)

Abstract

I characterize the implications of the common prior assumption for finite orders of beliefs about beliefs at a state and show that the only such implications are those stemming from the weaker assumption of a common support. More precisely, given any model where priors have the same support and any finite $N$, there is another model with common priors which has the same $n^{\rm th}$ order beliefs for all $n\ne N$.

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Bibliographic Info

Paper provided by EconWPA in its series Game Theory and Information with number 9703005.

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Date of creation: 21 Mar 1997
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Handle: RePEc:wpa:wuwpga:9703005

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Keywords: common priors;

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References

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  1. Brandenburger Adam & Dekel Eddie, 1993. "Hierarchies of Beliefs and Common Knowledge," Journal of Economic Theory, Elsevier, vol. 59(1), pages 189-198, February.
  2. Milgrom, Paul & Stokey, Nancy, 1982. "Information, trade and common knowledge," Journal of Economic Theory, Elsevier, vol. 26(1), pages 17-27, February.
  3. Morris, Stephen, 1994. "Trade with Heterogeneous Prior Beliefs and Asymmetric Information," Econometrica, Econometric Society, vol. 62(6), pages 1327-47, November.
  4. Robert J. Aumann, 2010. "Correlated Equilibrium as an expression of Bayesian Rationality," Levine's Working Paper Archive 661465000000000377, David K. Levine.
  5. 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).
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Cited by:
  1. Eddie Dekel & Drew Fudenberg & Stephen Morris, 2005. "Topologies on Types," Harvard Institute of Economic Research Working Papers 2093, Harvard - Institute of Economic Research.
  2. 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.
  3. Rodrigues-Neto, José Alvaro, 2012. "The cycles approach," Journal of Mathematical Economics, Elsevier, vol. 48(4), pages 207-211.
  4. Jeffrey C. Ely & Kim-Sau Chung, 2004. "Foundations of Dominant Strategy Mechanisms," Econometric Society 2004 North American Summer Meetings 169, Econometric Society.
  5. 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.
  6. 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.
  7. 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.
  8. Oyama, Daisuke & Tercieux, Olivier, 2005. "Robust Equilibria under Non-Common Priors," MPRA Paper 14287, University Library of Munich, Germany.
  9. Friedenberg, Amanda, 2010. "When do type structures contain all hierarchies of beliefs?," Games and Economic Behavior, Elsevier, vol. 68(1), pages 108-129, January.
  10. Takashi Kunimoto, 2006. "The Robustness Of Equilibrium Analysis: The Case Of Undominated Nash Equilibrium," Departmental Working Papers 2006-26, McGill University, Department of Economics.
  11. Tsakas Elias, 2012. "Rational belief hierarchies," Research Memorandum 004, Maastricht University, Maastricht Research School of Economics of Technology and Organization (METEOR).

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