IDEAS home Printed from https://ideas.repec.org/p/man/sespap/1107.html
   My bibliography  Save this paper

A new perspective to rational expectations: maximin rational expectations equilibrium

Author

Listed:
  • Luciano De Castro
  • Marialaura Pesce
  • 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
(This abstract was borrowed from another version of this item.)

Suggested Citation

  • Luciano De Castro & Marialaura Pesce & Nicholas C. Yannelis, 2011. "A new perspective to rational expectations: maximin rational expectations equilibrium," Economics Discussion Paper Series 1107, Economics, The University of Manchester.
    • Handle: RePEc:man:sespap:1107
    as

    Download full text from publisher

    File URL: http://hummedia.manchester.ac.uk/schools/soss/economics/discussionpapers/EDP-1107.pdf
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Larry G. Epstein & Martin Schneider, 2010. "Ambiguity and Asset Markets," Annual Review of Financial Economics, Annual Reviews, vol. 2(1), pages 315-346, December.
    2. repec:dau:papers:123456789/5393 is not listed on IDEAS
    3. João Correia-da-Silva & Carlos Hervés-Beloso, 2009. "Prudent expectations equilibrium in economies with uncertain delivery," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 39(1), pages 67-92, April.
    4. Radner, Roy, 1979. "Rational Expectations Equilibrium: Generic Existence and the Information Revealed by Prices," Econometrica, Econometric Society, vol. 47(3), pages 655-678, May.
    5. Larry G. Epstein & Martin Schneider, 2007. "Learning Under Ambiguity," Review of Economic Studies, Oxford University Press, vol. 74(4), pages 1275-1303.
    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. Yannelis, Nicholas C, 1991. "The Core of an Economy with Differential Information," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 1(2), pages 183-197, April.
    8. Gilboa, Itzhak & Schmeidler, David, 1989. "Maxmin expected utility with non-unique prior," Journal of Mathematical Economics, Elsevier, vol. 18(2), pages 141-153, April.
    9. 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.
    10. 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.
    11. Dionysius Glycopantis & Nicholas C. Yannelis (ed.), 2005. "Differential Information Economies," Studies in Economic Theory, Springer, number 978-3-540-26979-3, July.
    12. Scott Condie & Jayant Ganguli, 2011. "Informational efficiency with ambiguous information," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 48(2), pages 229-242, October.
    13. Dionysius Glycopantis & Allan Muir & Nicholas Yannelis, 2005. "Non-implementation of rational expectations as a perfect Bayesian equilibrium," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), 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.
    15. 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.
    16. Rose-Anne Dana, 2004. "Ambiguity, uncertainty aversion and equilibrium welfare," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 23(3), pages 569-587, 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. Jeleva, Meglena & Tallon, Jean-Marc, 2016. "Ambiguïté, comportements et marchés financiers," L'Actualité Economique, Société Canadienne de Science Economique, vol. 92(1-2), pages 351-383, Mars-Juin.
    2. Nizar Allouch, 2013. "A competitive equilibrium for a warm-glow economy," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 53(1), pages 269-282, May.
    3. Angelos Angelopoulos, 2014. "Maximin Value Allocation with a Continuum of States," Economics Discussion Paper Series 1407, Economics, The University of Manchester.
    4. 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.
    5. John Dickhaut & Radhika Lunawat & Kira Pronin & Jack Stecher, 2011. "Decision making and trade without probabilities," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 48(2), pages 275-288, October.
    6. Xiaojuan Hu & Cheng-Zhong Qin, 2013. "Information acquisition and welfare effect in a model of competitive financial markets," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 54(1), pages 199-210, September.
    7. Zhiwei Liu & Nicholas C. Yannelis, 2013. "Implementation under ambiguity: the maximin core," Economics Discussion Paper Series 1319, Economics, The University of Manchester.
    8. Scott Condie & Jayant Ganguli, 2011. "Informational efficiency with ambiguous information," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 48(2), pages 229-242, October.
    9. 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.
    10. 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.
    11. Angelos Angelopoulos, 2014. "Maximin Value Allocation with a Non-Finite Set of States," Economics Discussion Paper Series 1406, Economics, The University of Manchester.
    12. Condie, Scott & Ganguli, Jayant, 2017. "The pricing effects of ambiguous private information," Journal of Economic Theory, Elsevier, vol. 172(C), pages 512-557.
    13. repec:esx:essedp:720 is not listed on IDEAS
    14. Angelos Angelopoulos & Leonidas Koutsougeras, 2015. "Value allocation under ambiguity," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 59(1), pages 147-167, May.
    15. Ganguli, Jayant & Condie, Scott, 2012. "The pricing effects of ambiguous private information," Economics Discussion Papers 5631, University of Essex, Department of Economics.

    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. 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.
    2. 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.
    3. He, Wei & Yannelis, Nicholas C., 2015. "Equilibrium theory under ambiguity," Journal of Mathematical Economics, Elsevier, vol. 61(C), pages 86-95.
    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. Zhiwei Liu, 2014. "A note on the welfare of the maximin rational expectations," Economic Theory Bulletin, Springer;Society for the Advancement of Economic Theory (SAET), vol. 2(2), pages 213-218, October.
    6. 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.
    7. 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.
    8. 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.
    9. Wei He & Nicholas C. Yannelis, 2013. "Equilibrium Theory under Ambiguity," Economics Discussion Paper Series 1307, Economics, The University of Manchester.
    10. Yu, Edison G., 2018. "Dynamic market participation and endogenous information aggregation," Journal of Economic Theory, Elsevier, vol. 175(C), pages 491-517.
    11. Wei He & Nicholas C. Yannelis, 2013. "A New Perspective on Rational Expectations," Economics Discussion Paper Series 1317, Economics, The University of Manchester.
    12. Correia-da-Silva, João & Hervés-Beloso, Carlos, 2008. "Subjective expectations equilibrium in economies with uncertain delivery," Journal of Mathematical Economics, Elsevier, vol. 44(7-8), pages 641-650, July.
    13. Anuj Bhowmik & Jiling Cao, 2013. "On the core and Walrasian expectations equilibrium in infinite dimensional commodity spaces," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 53(3), pages 537-560, August.
    14. Condie, Scott & Ganguli, Jayant, 2017. "The pricing effects of ambiguous private information," Journal of Economic Theory, Elsevier, vol. 172(C), pages 512-557.
    15. 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.
    16. 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.
    17. 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.
    18. Han Ozsoylev & Jan Werner, 2011. "Liquidity and asset prices in rational expectations equilibrium with ambiguous information," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 48(2), pages 469-491, October.
    19. 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.
    20. 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.

    More about this item

    NEP fields

    This paper has been announced in the following NEP Reports:

    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:man:sespap:1107. 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: Marianne Sensier (email available below). General contact details of provider: https://edirc.repec.org/data/semanuk.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.