IDEAS home Printed from https://ideas.repec.org/a/eee/mateco/v46y2010i5p762-774.html
   My bibliography  Save this article

Learning and stability of the Bayesian-Walrasian equilibrium

Author

Listed:
  • Pesce, Marialaura
  • Yannelis, Nicholas C.

Abstract

Under the Bayesian-Walrasian Equilibrium (BWE) (see Balder and Yannelis, 2009), agents form price estimates based on their own private information, and in terms of those prices they can formulate estimated budget sets. Then, based on his/her own private information, each agent maximizes interim expected utility subject to his/her own estimated budget set. From the imprecision due to the price estimation it follows that the resulting equilibrium allocation may not clear the markets for every state of nature, i.e., exact feasibility of allocations may not occur. This paper shows that if the economy is repeated from period to period and agents refine their private information by observing the past BWE, then in the limit all agents will obtain the same information and market clearing will be reached. The converse is also true. The analysis provides a new way of looking at the asymmetric equilibrium which has a statistical foundation.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:mateco:v:46:y:2010:i:5:p:762-774
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0304-4068(10)00045-5
    Download Restriction: Full text for ScienceDirect subscribers only
    ---><---

    As the access to this document is restricted, you may want to look for a different version below or search for a different version of it.

    Other versions of this item:

    References listed on IDEAS

    as
    1. 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.
    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. KOUTSOUGERAS, Leonidas C. & YANNELIS, Nicholas C., 1999. "Bounded rational learning in differential information economies: core and value," LIDAM Reprints CORE 1429, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    4. 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.
    5. Kreps, David M., 1977. "A note on "fulfilled expectations" equilibria," Journal of Economic Theory, Elsevier, vol. 14(1), pages 32-43, February.
    6. Peleg, Bezalel & Yaari, Menahem E, 1970. "Markets with Countably Many Commodities," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 11(3), pages 369-377, October.
    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. Erik Balder & Nicholas Yannelis, 2009. "Bayesian–Walrasian equilibria: beyond the rational expectations equilibrium," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 38(2), pages 385-397, February.
    9. 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.
    10. Koutsougeras, Leonidas & Yannelis, Nicholas C., 1999. "Bounded rational learning in differential information economies: core and value," Journal of Mathematical Economics, Elsevier, vol. 31(3), pages 373-391, April.
    Full references (including those not matched with items on IDEAS)

    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. 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.
    2. 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.
    3. 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.
    4. 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.
    5. 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.
    6. Krasa, Stefan & Sharma, Tridib & Villamil, Anne P., 2005. "Debt contracts and cooperative improvements," Journal of Mathematical Economics, Elsevier, vol. 41(7), pages 857-874, November.
    7. 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.
    8. Yusuke Kamishiro & Roberto Serrano, 2009. "Equilibrium blocking in large quasilinear economies," Working Papers 2009-12, Instituto Madrileño de Estudios Avanzados (IMDEA) Ciencias Sociales.
    9. Nicolas S. Lambert & Michael Ostrovsky & Mikhail Panov, 2018. "Strategic Trading in Informationally Complex Environments," Econometrica, Econometric Society, vol. 86(4), pages 1119-1157, July.
    10. 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.
    11. Berliant, Marcus & Yu, Chia-Ming, 2013. "Rational expectations in urban economics," Regional Science and Urban Economics, Elsevier, vol. 43(2), pages 197-208.
    12. 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.
    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. Beth Allen & James S. Jordan, 1998. "The existence of rational expectations equilibrium: a retrospective," Staff Report 252, Federal Reserve Bank of Minneapolis.
    16. Dionysius Glycopantis & Carlos Hervés-Beloso & Konrad Podczeck, 2009. "Symposium on: equilibria with asymmetric information," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 38(2), pages 217-219, February.
    17. Emanuela Sciubba, 2005. "Asymmetric information and survival in financial markets," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 25(2), pages 353-379, February.
    18. Luciano Castro & Marialaura Pesce & Nicholas Yannelis, 2011. "Core and equilibria under ambiguity," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 48(2), pages 519-548, October.
    19. Jean-Pierre Zigrand, 2001. "Rational Limits to Arbitrage," FMG Discussion Papers dp392, Financial Markets Group.
    20. Zigrand, Jean-Pierre, 2001. "Rational limits to arbitrage," LSE Research Online Documents on Economics 25068, London School of Economics and Political Science, LSE Library.

    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:eee:mateco:v:46:y:2010:i:5:p:762-774. 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: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/locate/jmateco .

    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.