IDEAS home Printed from https://ideas.repec.org/p/ihs/ihsesp/148.html
   My bibliography  Save this paper

Non-implementation of Rational Expectations as a Perfect Bayesian Equilibrium

Author

Listed:
  • Glycopantis, Dionysius

    (Department of Economics, City University)

  • Muir, Allan

    (Department of Mathematics, City University)

  • Yannelis, Nicholas C.

    (Department of Economics, University of Illinois at Urbana-Champaign)

Abstract

We show that a rational expectations equilibrium need not be incentive compatible, need not be implementable as a perfect Bayesian equilibrium and may not be fully Pareto optimal, unless the utility functions are state independent. A comparison of rational expectations equilibria with core concepts is also provided.

Suggested Citation

  • Glycopantis, Dionysius & Muir, Allan & Yannelis, Nicholas C., 2004. "Non-implementation of Rational Expectations as a Perfect Bayesian Equilibrium," Economics Series 148, Institute for Advanced Studies.
  • Handle: RePEc:ihs:ihsesp:148
    as

    Download full text from publisher

    File URL: https://irihs.ihs.ac.at/id/eprint/1546
    File Function: First version, 2004
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Kreps, David M & Wilson, Robert, 1982. "Sequential Equilibria," Econometrica, Econometric Society, vol. 50(4), pages 863-894, July.
    2. Radner, Roy, 1979. "Rational Expectations Equilibrium: Generic Existence and the Information Revealed by Prices," Econometrica, Econometric Society, vol. 47(3), pages 655-678, May.
    3. Allan Muir & Nicholas C. Yannelis & Dionysius Glycopantis, 2001. "An extensive form interpretation of the private core," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 18(2), pages 293-319.
    4. Palfrey, Thomas R. & Srivastava, Sanjay, 1986. "Private information in large economies," Journal of Economic Theory, Elsevier, vol. 39(1), pages 34-58, June.
    5. Guangsug Hahn & Nicholas C. Yannelis, 1997. "Efficiency and incentive compatibility in differential information economies," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 10(3), pages 383-411.
    6. 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 1173-1199, September.
    7. Stefan Krasa & Nicholas C. Yannelis, 2005. "The value allocation of an economy with differential information," Studies in Economic Theory, in: Dionysius Glycopantis & Nicholas C. Yannelis (ed.), Differential Information Economies, pages 507-526, Springer.
    8. Sanford J. Grossman, 1981. "An Introduction to the Theory of Rational Expectations Under Asymmetric Information," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 48(4), pages 541-559.
    9. Dubey, Pradeep & Geanakoplos, John & Shubik, Martin, 1987. "The revelation of information in strategic market games : A critique of rational expectations equilibrium," Journal of Mathematical Economics, Elsevier, vol. 16(2), pages 105-137, April.
    10. Nicholas C. Yannelis & Guangsug Hahn, 2001. "Coalitional Bayesian Nash implementation in differential information economies," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 18(2), pages 485-509.
    11. Robert Wilson, 2005. "Information, efficiency, and the core of an economy," Studies in Economic Theory, in: Dionysius Glycopantis & Nicholas C. Yannelis (ed.), Differential Information Economies, pages 55-64, Springer.
    12. Kreps, David M., 1977. "A note on "fulfilled expectations" equilibria," Journal of Economic Theory, Elsevier, vol. 14(1), pages 32-43, February.
    13. Koutsougeras, Leonidas C & Yannelis, Nicholas C, 1993. "Incentive Compatibility and Information Superiority of the Core of an Economy with Differential Information," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 3(2), pages 195-216, April.
    14. Dionysius Glycopantis & Allan Muir & Nicholas C. Yannelis, 2003. "On extensive form implementation of contracts in differential information economies," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 21(2), pages 495-526, March.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Fugarolas Álvarez-Ude, Guadalupe & Hervés-Beloso, Carlos, 2005. "A unified differential information framework assessing that more information is preferred to less," MPRA Paper 612, University Library of Munich, Germany.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Dionysius Glycopantis & Allan Muir & Nicholas Yannelis, 2009. "On non-revealing rational expectations equilibrium," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 38(2), pages 351-369, February.
    2. João Correia-da-Silva, 2015. "Two-period economies with price-contingent deliveries," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 59(3), pages 509-525, August.
    3. Luciano I. Castro & Marialaura Pesce & Nicholas C. Yannelis, 2020. "A new approach to the rational expectations equilibrium: existence, optimality and incentive compatibility," Annals of Finance, Springer, vol. 16(1), pages 1-61, March.
    4. De Castro, Luciano & Yannelis, Nicholas C., 2018. "Uncertainty, efficiency and incentive compatibility: Ambiguity solves the conflict between efficiency and incentive compatibility," Journal of Economic Theory, Elsevier, vol. 177(C), pages 678-707.
    5. Zhiwei Liu, 2016. "Implementation of maximin rational expectations equilibrium," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 62(4), pages 813-837, October.
    6. Luciano I. de Castro & Marialaura Pesce & Nicholas C. Yannelis, 2013. "A New Perspective on Rational Expectations," Economics Discussion Paper Series 1316, Economics, The University of Manchester.
    7. Yusuke Kamishiro & Roberto Serrano, 2009. "Equilibrium blocking in large quasilinear economies," Working Papers 2009-12, Instituto Madrileño de Estudios Avanzados (IMDEA) Ciencias Sociales.
    8. Einy, Ezra & Moreno, Diego & Shitovitz, Benyamin, 2000. "Rational expectations equilibria and the ex-post core of an economy with asymmetric information," Journal of Mathematical Economics, Elsevier, vol. 34(4), pages 527-535, December.
    9. Pesce, Marialaura & Yannelis, Nicholas C., 2010. "Learning and stability of the Bayesian-Walrasian equilibrium," Journal of Mathematical Economics, Elsevier, vol. 46(5), pages 762-774, September.
    10. Laura Angeloni & V. Martins-da-Rocha, 2009. "Large economies with differential information and without free disposal," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 38(2), pages 263-286, February.
    11. Youcef Askoura, 2019. "An interim core for normal form games and exchange economies with incomplete information: a correction," Papers 1903.09867, arXiv.org.
    12. Marialaura Pesce & Peter Cramton & Nicholas C. Yannelis, 2010. "A new perspective to rational expectations: maximin rational expectations equilibrium," Discussion Papers 1528, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
    13. Luciano De Castro & Nicholas C. Yannelis, 2011. "Ambiguity aversion solves the conflict between efficiency and incentive compatibility," Economics Discussion Paper Series 1106, Economics, The University of Manchester.
    14. 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.
    15. Askoura, Y., 2015. "An interim core for normal form games and exchange economies with incomplete information," Journal of Mathematical Economics, Elsevier, vol. 58(C), pages 38-45.
    16. Yusuke Kamishiro & Roberto Serrano, 2011. "Equilibrium Blocking in Large Quasilinear Economies," Mathematics of Operations Research, INFORMS, vol. 36(3), pages 552-567, August.
    17. Forges, Francoise & Minelli, Enrico & Vohra, Rajiv, 2002. "Incentives and the core of an exchange economy: a survey," Journal of Mathematical Economics, Elsevier, vol. 38(1-2), pages 1-41, September.
    18. James Peck & Matthew O. Jackson, 1999. "Asymmetric information in a competitive market game: Reexamining the implications of rational expectations," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 13(3), pages 603-628.
    19. Achille Basile & Maria Graziano & Marialaura Pesce, 2014. "On fairness of equilibria in economies with differential information," Theory and Decision, Springer, vol. 76(4), pages 573-599, April.
    20. 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.

    More about this item

    Keywords

    Differential information economy; Rational expectations equilibrium; Implementation; Game trees; Private core;
    All these keywords.

    JEL classification:

    • C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games
    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • D5 - Microeconomics - - General Equilibrium and Disequilibrium
    • D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:ihs:ihsesp:148. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Doris Szoncsitz (email available below). General contact details of provider: https://edirc.repec.org/data/deihsat.html .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.