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Rational expectations equilibria: existence and representation

Author

Listed:
  • Anuj Bhowmik

    (Indian Statistical Institute
    Shiv Nadar University)

  • Jiling Cao

    (Auckland University of Technology)

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 strengthens the theorems on the existence and representation of a (Bayesian) rational expectations equilibrium or a maximin rational expectations equilibrium in the literature.

Suggested Citation

  • Anuj Bhowmik & Jiling Cao, 2016. "Rational expectations equilibria: existence and representation," Economic Theory Bulletin, Springer;Society for the Advancement of Economic Theory (SAET), vol. 4(2), pages 367-386, October.
    • Handle: RePEc:spr:etbull:v:4:y:2016:i:2:d:10.1007_s40505-016-0103-2
    DOI: 10.1007/s40505-016-0103-2
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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.
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    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.
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    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, December.
    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
    • D50 - Microeconomics - - General Equilibrium and Disequilibrium - - - General

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