Common Knowledge of Rationality and Market Clearing in Economies with Asymmetric Information
Consider an exchange economy with asymmetric information. What is the set of outcomes that are consistent with common knowledge of rationality and market clearing? To address this question we define an epistemic model for the economy that provides a complete description not only of the beliefs of each agent on the relationship between states of nature and prices but also of the whole system of interactive beliefs. The main result, theorem 1, provides a characterization of outcomes that are consistent with common knowledge of rationality and market clearing (henceforth, CKRMC outcomes) in terms of a solution notion - Ex - Post Rationalizability - that is defined directly in terms of the parameters that define the economy. We then apply theorem 1 to characterize the set of CKRMC outcomes in a general class of economies with two commodities. CKRMC manifests several intuitive properties that stand in contrast to the full revelation property of Rational Expectations Equilibrium: In particular, we obtain that for a robust class of economies: (1) there is a continuum of prices that are consistent with CKRMC in every state of nature, and hence these prices do not reveal the true state, (2) the range of CKRMC outcomes is monotonically decreasing as agents become more informed about the economic fundamentals, and (3) trade is consistent with common knowledge of rationality and market clearing even when there is common knowledge that there are no mutual gains from trade.
|Date of creation:||01 Mar 2010|
|Date of revision:|
|Contact details of provider:|| Postal: |
Web page: http://www.kellogg.northwestern.edu/research/math/
More information through EDIRC
|Order Information:|| Email: |
References listed on IDEAS
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.:
- McAllister, Patrick H., 1990. "Rational behavior and rational expectations," Journal of Economic Theory, Elsevier, vol. 52(2), pages 332-363, December.
- D. B. Bernheim, 2010.
"Rationalizable Strategic Behavior,"
Levine's Working Paper Archive
661465000000000381, David K. Levine.
- John C Harsanyi, 1997. "Games with incomplete information played by "bayesian" players," Levine's Working Paper Archive 1175, David K. Levine.
- Tan, Tommy Chin-Chiu & da Costa Werlang, Sergio Ribeiro, 1988.
"The Bayesian foundations of solution concepts of games,"
Journal of Economic Theory,
Elsevier, vol. 45(2), pages 370-391, August.
- Werlang, Sérgio Ribeiro da Costa & Chin-Chiu Tan, Tommy, 1987. "The Bayesian Foundations of Solution Concepts of Games," Economics Working Papers (Ensaios Economicos da EPGE) 111, FGV/EPGE Escola Brasileira de Economia e Finanças, Getulio Vargas Foundation (Brazil).
- Dutta, Jayasri & Morris, Stephen, 1997.
"The Revelation of Information and Self-Fulfilling Beliefs,"
Journal of Economic Theory,
Elsevier, vol. 73(1), pages 231-244, March.
- Jayasri Dutta & Stephen Morris, . ""The Revelation of Information and Self-Fulfilling Beliefs''," CARESS Working Papres 95-03, University of Pennsylvania Center for Analytic Research and Economics in the Social Sciences.
- Jayasri Dutta & Stephen Morris, . "The Revelation of Information and Self-Fulfilling Beliefs," Penn CARESS Working Papers 269cceedcbd401a5e46548b88, Penn Economics Department.
- DUTTA, Jayasri & MORRIS, Stephen, 1995. "The Revelation of Information and Self-Fulfilling Beliefs," CORE Discussion Papers 1995076, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
- Guesnerie, R., 1999.
"Anchoring Economic Predictions in Common Knowledge,"
DELTA Working Papers
1999-06, DELTA (Ecole normale supérieure).
- R. Guesnerie, 2002. "Anchoring Economic Predictions in Common Knowledge," Econometrica, Econometric Society, vol. 70(2), pages 439-480, March.
- Pierpaolo Battigali & Giacomo Bonanno, .
"Recent Results On Belief, Knowledge And The Epistemic Foundations Of Game Theory,"
Department of Economics
98-14, California Davis - Department of Economics.
- Battigalli, Pierpaolo & Bonanno, Giacomo, 1999. "Recent results on belief, knowledge and the epistemic foundations of game theory," Research in Economics, Elsevier, vol. 53(2), pages 149-225, June.
- Giacomo Bonanno & Pierpaolo Battigalli, 2003. "Recent Results On Belief, Knowledge And The Epistemic Foundations Of Game Theory," Working Papers 9814, University of California, Davis, Department of Economics.
- Roger Guesnerie, 2005. "Assessing Rational Expectations 2: "Eductive" Stability in Economics," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262072580, June.
- Radner, Roy, 1979. "Rational Expectations Equilibrium: Generic Existence and the Information Revealed by Prices," Econometrica, Econometric Society, vol. 47(3), pages 655-78, May.
- D. Pearce, 2010. "Rationalizable Strategic Behavior and the Problem of Perfection," Levine's Working Paper Archive 523, David K. Levine.
- Roy Radner, 1997. "Rational Expectations Equilibrium: Generic Existence and the Information Revealed by Prices," Levine's Working Paper Archive 1594, David K. Levine.
- Kreps, David M., 1977. "A note on "fulfilled expectations" equilibria," Journal of Economic Theory, Elsevier, vol. 14(1), pages 32-43, February.
- Pearce, David G, 1984. "Rationalizable Strategic Behavior and the Problem of Perfection," Econometrica, Econometric Society, vol. 52(4), pages 1029-50, July.
When requesting a correction, please mention this item's handle: RePEc:nwu:cmsems:1487. See general information about how to correct material in RePEc.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Fran Walker)
If references are entirely missing, you can add them using this form.