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Rational Expectations Equilibria: Existence and Representation

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  • Bhowmik, Anuj
  • Cao, Jiling

Abstract

In this paper, we continue to explore the equilibrium theory under ambiguity. For a model of a pure exchange and asymmetric information economy with a measure space of agents whose exogenous uncertainty is described by a complete probability space, we establish a representation theorem for a Bayesian or maximin rational expectations equilibrium allocation in terms of a state-wise Walrasian equilibrium allocation. This result also strengthens the theorems on the existence and representation of a (Bayesian) rational expectations equilibrium or a maximin rational expectations equilibrium in the literature.

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  • Bhowmik, Anuj & Cao, Jiling, 2015. "Rational Expectations Equilibria: Existence and Representation," MPRA Paper 63196, University Library of Munich, Germany.
    • Handle: RePEc:pra:mprapa:63196
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    References listed on IDEAS

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    1. repec:dau:papers:123456789/2344 is not listed on IDEAS
    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. Sun, Yeneng & Wu, Lei & Yannelis, Nicholas C., 2012. "Existence, incentive compatibility and efficiency of the rational expectations equilibrium," Games and Economic Behavior, Elsevier, vol. 76(1), pages 329-339.
    4. 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.
    5. 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.
    6. 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.
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    8. Ezra Einy & Diego Moreno & Benyamin Shitovitz, 2005. "Competitive and core allocations in large economies with differential information," Studies in Economic Theory, in: Dionysius Glycopantis & Nicholas C. Yannelis (ed.), Differential Information Economies, pages 173-183, Springer.
    9. 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.
    10. Vind, Karl, 1972. "A Third Remark on the Core of an Atomless Economy," Econometrica, Econometric Society, vol. 40(3), pages 585-586, May.
    11. Bhowmik, Anuj & Cao, Jiling, 2012. "Blocking efficiency in an economy with asymmetric information," Journal of Mathematical Economics, Elsevier, vol. 48(6), pages 396-403.
    12. 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.
    13. Wei He & Nicholas C. Yannelis, 2013. "A New Perspective on Rational Expectations," Economics Discussion Paper Series 1317, Economics, The University of Manchester.
    14. 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.
    15. Charalambos D. Aliprantis & Kim C. Border, 2006. "Infinite Dimensional Analysis," Springer Books, Springer, edition 0, number 978-3-540-29587-7, January.
    16. Allen, Beth, 1982. "Strict rational expectations equilibria with diffuseness," Journal of Economic Theory, Elsevier, vol. 27(1), pages 20-46, June.
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    Cited by:

    1. 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.
    2. Bhowmik, Anuj & Cao, Jiling, 2018. "Ex-post core, fine core and rational expectations equilibrium allocations," Journal of Mathematical Economics, Elsevier, vol. 74(C), pages 128-138.
    3. Achille Basile & Maria Gabriella Graziano & Ciro Tarantino, 2018. "Coalitional fairness with participation rates," Journal of Economics, Springer, vol. 123(2), pages 97-139, March.

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    More about this item

    Keywords

    Asymmetric information; Bayesian rational expectations equilibrium; Maximin rational expectations equilibrium; Pure exchange economy; Walrasian equilibrium.;
    All these keywords.

    JEL classification:

    • D51 - Microeconomics - - General Equilibrium and Disequilibrium - - - Exchange and Production Economies
    • D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design

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