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A new perspective to rational expectations: maximin rational expectations equilibrium

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  • Marialaura Pesce
  • Peter Cramton
  • Nicholas C. Yannelis

Abstract

We introduce a new notion of rational expectations equilibrium (REE) called maximin rational expectations equilibrium (MREE), which is based on the maximin expected utility (MEU) formulation. In particular, agents maximize maximin expected utility conditioned on their own private information and the information that the equilibrium prices generate. Maximin equilibrium allocations need not to be measurable with respect to the private information of each individual and with respect to the information that the equilibrium prices generate, as it is in the case of the Bayesian REE. We prove that a maximin REE exists universally (and not generically as in Radner (1979) and Allen (1981)), it is effcient and incentive compatible. These results are false for the Bayesian REE

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Bibliographic Info

Paper provided by Northwestern University, Center for Mathematical Studies in Economics and Management Science in its series Discussion Papers with number 1528.

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Date of creation: 02 Mar 2010
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Handle: RePEc:nwu:cmsems:1528

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Postal: Center for Mathematical Studies in Economics and Management Science, Northwestern University, 580 Jacobs Center, 2001 Sheridan Road, Evanston, IL 60208-2014
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Web page: http://www.kellogg.northwestern.edu/research/math/
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References

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  1. Podczeck, Konrad & Yannelis, Nicholas C., 2008. "Equilibrium theory with asymmetric information and with infinitely many commodities," Journal of Economic Theory, Elsevier, vol. 141(1), pages 152-183, July.
  2. Joao Correia-da-Silva & Carlos Hervés-Beloso, 2006. "Prudent Expectations Equilibrium in Economies with Uncertain Delivery," FEP Working Papers 216, Universidade do Porto, Faculdade de Economia do Porto.
  3. Koutsougeras, Leonidas C & Yannelis, Nicholas C, 1993. "Incentive Compatibility and Information Superiority of the Core of an Economy with Differential Information," Economic Theory, Springer, vol. 3(2), pages 195-216, April.
  4. Scott Condie & Jayant Ganguli, 2011. "Informational efficiency with ambiguous information," Economic Theory, Springer, vol. 48(2), pages 229-242, October.
  5. Larry G. Epstein & Martin Schneider, 2010. "Ambiguity and Asset Markets," Annual Review of Financial Economics, Annual Reviews, vol. 2(1), pages 315-346, December.
  6. Krasa, Stefan & Yannelis, Nicholas C, 1994. "The Value Allocation of an Economy with Differential Information," Econometrica, Econometric Society, vol. 62(4), pages 881-900, July.
  7. Larry Epstein & Martin Schneider, 2006. "Learning Under Ambiguity," RCER Working Papers 527, University of Rochester - Center for Economic Research (RCER).
  8. Radner, Roy, 1979. "Rational Expectations Equilibrium: Generic Existence and the Information Revealed by Prices," Econometrica, Econometric Society, vol. 47(3), pages 655-78, May.
  9. Rose-Anne Dana, 2004. "Ambiguity, uncertainty aversion and equilibrium welfare," Economic Theory, Springer, vol. 23(3), pages 569-587, March.
  10. Dana, Rose-Anne, 2004. "Ambiguity, uncertainty aversion and equilibrium welfare," Economics Papers from University Paris Dauphine 123456789/5393, Paris Dauphine University.
  11. Yannelis, Nicholas C, 1991. "The Core of an Economy with Differential Information," Economic Theory, Springer, vol. 1(2), pages 183-97, April.
  12. Allen, Beth E, 1981. "Generic Existence of Completely Revealing Equilibria for Economies with Uncertainty when Prices Convey Information," Econometrica, Econometric Society, vol. 49(5), pages 1173-99, September.
  13. Dionysius Glycopantis & Allan Muir & Nicholas Yannelis, 2005. "Non-implementation of rational expectations as a perfect Bayesian equilibrium," Economic Theory, Springer, vol. 26(4), pages 765-791, November.
  14. Kreps, David M., 1977. "A note on "fulfilled expectations" equilibria," Journal of Economic Theory, Elsevier, vol. 14(1), pages 32-43, February.
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Citations

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Cited by:
  1. Nizar Allouch, 2009. "A Competitive Equilibrium for a Warm Glow Economy," Working Papers 641, Queen Mary, University of London, School of Economics and Finance.
  2. Scott Condie & Jayant Ganguli, 2012. "The Pricing Effects of Ambiguous Private Information," INET Research Notes 16, Institute for New Economic Thinking (INET).
  3. Xiaojuan Hu & Cheng-Zhong Qin, 2013. "Information acquisition and welfare effect in a model of competitive financial markets," Economic Theory, Springer, vol. 54(1), pages 199-210, September.
  4. Jack Stecher & Radhika Lunawat & Kira Pronin & John Dickhaut, 2007. "Decision Making and Trade without Probabilities," CIRANO Working Papers 2007s-21, CIRANO.
  5. Luciano De Castro & Marialaura Pesce & Nicolas Yannelis, 2011. "Core and Equilibria under ambiguity," Discussion Papers 1534, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
  6. Nabil I. Al-Najjar & Luciano De Castro, 2010. "Uncertainty, Efficiency and Incentive Compatibility," Discussion Papers 1532, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
  7. Zhiwei Liu & Nicholas C. Yannelis, 2013. "Implementation under ambiguity: the maximin core," The School of Economics Discussion Paper Series 1319, Economics, The University of Manchester.
  8. Scott Condie & Jayant Ganguli, 2011. "Informational efficiency with ambiguous information," Economic Theory, Springer, vol. 48(2), pages 229-242, October.
  9. Luciano De Castro & Nicholas C. Yannelis, 2011. "Ambiguity aversion solves the conflict between efficiency and incentive compatibility," The School of Economics Discussion Paper Series 1106, Economics, The University of Manchester.

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