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Existence, incentive compatibility and efficiency of the rational expectations equilibrium

Author

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  • Sun, Yeneng
  • Wu, Lei
  • Yannelis, Nicholas C.
Abstract
The rational expectations equilibrium (REE), as introduced in Radner (1979) in a general equilibrium setting à la Arrow–Debreu–McKenzie, often fails to have desirable properties such as universal existence, incentive compatibility and efficiency. We resolve those problems by providing a new model which makes the REE a desirable solution concept. In particular, we consider an asymmetric information economy with a continuum of agents whose private signals are independent conditioned on the macro states of nature. For such an economy, agents are allowed to augment their private information by the available public signals. We prove the existence, incentive compatibility and efficiency for this new REE concept.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:gamebe:v:76:y:2012:i:1:p:329-339
    DOI: 10.1016/j.geb.2012.05.006
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    References listed on IDEAS

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    9. Peter Hammond & Yeneng Sun, 2008. "Monte Carlo simulation of macroeconomic risk with a continuum of agents: the general case," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 36(2), pages 303-325, August.
    10. Sun, Yeneng, 2006. "The exact law of large numbers via Fubini extension and characterization of insurable risks," Journal of Economic Theory, Elsevier, vol. 126(1), pages 31-69, January.
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    16. 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.
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    Citations

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    Cited by:

    1. Wei He & Nicholas C. Yannelis, 2013. "A New Perspective on Rational Expectations," Economics Discussion Paper Series 1317, 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. Qiao, Lei & Yu, Haomiao & Zhang, Zhixiang, 2016. "On the closed-graph property of the Nash equilibrium correspondence in a large game: A complete characterization," Games and Economic Behavior, Elsevier, vol. 99(C), pages 89-98.
    5. 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.
    6. 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.
    7. Huang, Xuesong, 2021. "Incentive compatible self-fulfilling mechanisms and rational expectations," Games and Economic Behavior, Elsevier, vol. 126(C), pages 100-135.
    8. Huiyi Guo & Nicholas C. Yannelis, 2022. "Incentive compatibility under ambiguity," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 73(2), pages 565-593, April.
    9. Sun, Xiang & Zeng, Yishu, 2020. "Perfect and proper equilibria in large games," Games and Economic Behavior, Elsevier, vol. 119(C), pages 288-308.
    10. Song, Yanan & Zhao, Xiaobo, 2016. "Strategic customer behavior facing possible stockout: An experimental study," International Journal of Production Economics, Elsevier, vol. 180(C), pages 57-67.
    11. Yeneng Sun & Lei Wu & Nicholas C. Yannelis, 2013. "Incentive compatibility of rational expectations equilibrium in large economies: a counterexample," Economic Theory Bulletin, Springer;Society for the Advancement of Economic Theory (SAET), vol. 1(1), pages 3-10, May.

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    More about this item

    Keywords

    Asymmetric information; Rational expectations equilibrium; Efficiency; Incentive compatibility; Conditional independence; Exact law of large numbers;
    All these keywords.

    JEL classification:

    • C70 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - General
    • D50 - Microeconomics - - General Equilibrium and Disequilibrium - - - General
    • D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design

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