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Informational Smallness in Rational Expectations Equilibria

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  • HEIFETZ, Aviad

    (School of Mathematical Sciences, Tel Aviv University, Tel Aviv, Israel)

  • MINELLI, Enrico

    (CORE, Université catholique de Louvain and Universita di Brescia, Italy)

Abstract

In an economy with asymmetric information, Rational Expectations Equilibria (REE) need not become asymptotically incentive compatible, even if many independent replicas of the economy are merged together. We identify a sub-class of REE for which this is nevertheless the case. It consists of those REE which are focused - where close prices obtain in close state-wise posterior economies; and where the prices are rounded to whole "cents", so that very close exact prices cannot be distinguished. In this class of REE, the informational power of each agent does diminish as more and more similar agents join the market. In the limit economy with a continuum of replicas, the informational power of each individual is nullified completely in focused REE.

Suggested Citation

  • HEIFETZ, Aviad & MINELLI, Enrico, 1996. "Informational Smallness in Rational Expectations Equilibria," LIDAM Discussion Papers CORE 1996029, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  • Handle: RePEc:cor:louvco:1996029
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    References listed on IDEAS

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    1. Palfrey, Thomas R & Srivastava, Sanjay, 1989. "Implementation with Incomplete Information in Exchange Economies," Econometrica, Econometric Society, vol. 57(1), pages 115-134, January.
    2. Mas-Colell,Andreu, 1990. "The Theory of General Economic Equilibrium," Cambridge Books, Cambridge University Press, number 9780521388702, January.
    3. Nabil Al-Najjar, 1996. "Aggregation and the Law of Large Numbers in Economies with a Continuum of Agents," Discussion Papers 1160, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
    4. Forges, Francoise & Minelli, Enrico, 1997. "Self-Fulfilling Mechanisms and Rational Expectations," Journal of Economic Theory, Elsevier, vol. 75(2), pages 388-406, August.
    5. Mas-Colell, Andreu & Whinston, Michael D. & Green, Jerry R., 1995. "Microeconomic Theory," OUP Catalogue, Oxford University Press, number 9780195102680, Decembrie.
    6. Blume, Lawrence & Easley, David, 1990. "Implementation of Walrasian expectations equilibria," Journal of Economic Theory, Elsevier, vol. 51(1), pages 207-227, June.
    7. Allen, Beth, 1982. "Approximate equilibria in microeconomic rational expectations models," Journal of Economic Theory, Elsevier, vol. 26(2), pages 244-260, April.
    8. Al-Najjar, Nabil Ibraheem, 1995. "Decomposition and Characterization of Risk with a Continuum of Random Variables," Econometrica, Econometric Society, vol. 63(5), pages 1195-1224, September.
    9. Gul, Faruk & Postlewaite, Andrew, 1992. "Asymptotic Efficiency in Large Exchange Economies with Asymmetric Information," Econometrica, Econometric Society, vol. 60(6), pages 1273-1292, November.
    10. Richard McLean & Andrew Postlewaite, 2002. "Informational Size and Incentive Compatibility," Econometrica, Econometric Society, vol. 70(6), pages 2421-2453, November.
    11. Harald Uhlig, 1996. "A law of large numbers for large economies (*)," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 8(1), pages 41-50.
    12. Wettstein, David, 1990. "Continuous implementation of constrained rational expectations equilibria," Journal of Economic Theory, Elsevier, vol. 52(1), pages 208-222, October.
    13. Roberts, Donald John & Postlewaite, Andrew, 1976. "The Incentives for Price-Taking Behavior in Large Exchange Economies," Econometrica, Econometric Society, vol. 44(1), pages 115-127, January.
    14. Postlewaite, Andrew & Schmeidler, David, 1986. "Implementation in differential information economies," Journal of Economic Theory, Elsevier, vol. 39(1), pages 14-33, June.
    15. repec:dau:papers:123456789/12327 is not listed on IDEAS
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    Cited by:

    1. 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.
    2. Yeneng Sun & Lei Wu & Nicholas C. Yannelis, 2011. "Existence, Incentive Compatibility and Efficiency of the Rational Expectations Equilibrium," Economics Discussion Paper Series 1108, Economics, The University of Manchester.
    3. Krasa, Stefan & Shafer, Wayne, 2001. "Informational Robustness of Competitive Equilibria," Journal of Economic Theory, Elsevier, vol. 101(2), pages 494-518, December.
    4. Huang, Xuesong, 2021. "Incentive compatible self-fulfilling mechanisms and rational expectations," Games and Economic Behavior, Elsevier, vol. 126(C), pages 100-135.

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    More about this item

    JEL classification:

    • D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design

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