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Strongly Rational Expectations Equilibria,Endogenous Acquisition of Information and the Grossman–Stiglitz Paradox

Author

Listed:
  • Gabriel Desgranges

    (THEMA, University of Cergy-Pontoise)

  • Maik Heinemann

    (University of Lüneburg, Institute of Economics)

Abstract

This paper analyzes conditions for strong rationality of the equilibrium in a linear/Gaussian model of a competitive commodity market, where firms are differentially informed about costs of production and the precision of private information is endogenously acquired. A Rational Expectations Equilibrium is said to be Strongly Rational, or eductively Stable, (SREE) when it is the unique rationalizable outcome. A locally SREE exists when the informativeness of the price is below a threshold that is increasing in the informativeness of private information and the elasticity of marginal cost of information acquisition. In the spirit of the Grossman Stiglitz paradox, informativeness of the SREE price is bounded. In the case with constant marginal costs, we characterize the set of rationalizable information precisions. Furthermore, a SREE requires that marginal costs of information are neither too low nor too large. Exogenous public information always favors stability.

Suggested Citation

  • Gabriel Desgranges & Maik Heinemann, 2008. "Strongly Rational Expectations Equilibria,Endogenous Acquisition of Information and the Grossman–Stiglitz Paradox," THEMA Working Papers 2008-25, THEMA (THéorie Economique, Modélisation et Applications), Université de Cergy-Pontoise.
    • Handle: RePEc:ema:worpap:2008-25
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    File URL: http://thema.u-cergy.fr/IMG/documents/2008-25.pdf
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    References listed on IDEAS

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    1. Morris, Stephen & Shin, Hyun Song, 1998. "Unique Equilibrium in a Model of Self-Fulfilling Currency Attacks," American Economic Review, American Economic Association, vol. 88(3), pages 587-597, June.
    2. Gadi Barlevy & Pietro Veronesi, 2000. "Information Acquisition in Financial Markets," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 67(1), pages 79-90.
    3. Vincent P. Crawford & Miguel A. Costa-Gomes, 2006. "Cognition and Behavior in Two-Person Guessing Games: An Experimental Study," American Economic Review, American Economic Association, vol. 96(5), pages 1737-1768, December.
    4. Grossman, Sanford J & Stiglitz, Joseph E, 1980. "On the Impossibility of Informationally Efficient Markets," American Economic Review, American Economic Association, vol. 70(3), pages 393-408, June.
    5. R. Guesnerie, 2002. "Anchoring Economic Predictions in Common Knowledge," Econometrica, Econometric Society, vol. 70(2), pages 439-480, March.
    6. Laura L. Veldkamp, 2006. "Information Markets and the Comovement of Asset Prices," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 73(3), pages 823-845.
    7. Bernheim, B Douglas, 1984. "Rationalizable Strategic Behavior," Econometrica, Econometric Society, vol. 52(4), pages 1007-1028, July.
    8. George-Marios Angeletos & Alessandro Pavan, 2007. "Efficient Use of Information and Social Value of Information," Econometrica, Econometric Society, vol. 75(4), pages 1103-1142, July.
    9. Maik Heinemann, 2002. "Existence of Strongly Rational Expectations Equilibria on Asset Markets with Asymmetric Information," Computing in Economics and Finance 2002 57, Society for Computational Economics.
    10. Iván Werning & George-Marios Angeletos, 2006. "Crises and Prices: Information Aggregation, Multiplicity, and Volatility," American Economic Review, American Economic Association, vol. 96(5), pages 1720-1736, December.
    11. Gabriel Desgranges & Pierre-Yves Geoffard & Roger Guesnerie, 2003. "Do Prices Transmit Rationally Expected Information?," Journal of the European Economic Association, MIT Press, vol. 1(1), pages 124-153, March.
    12. Guesnerie, Roger, 1992. "An Exploration of the Eductive Justifications of the Rational-Expectations Hypothesis," American Economic Review, American Economic Association, vol. 82(5), pages 1254-1278, December.
    13. Christophe Chamley, 2007. "Complementarities in Information Acquisition with Short-Term Trades," Post-Print halshs-00754190, HAL.
    14. Christophe Chamley, 2007. "Complementarities in Information Acquisition with Short-Term Trades," PSE-Ecole d'économie de Paris (Postprint) halshs-00754190, HAL.
    15. Hellwig, Christian, 2002. "Public Information, Private Information, and the Multiplicity of Equilibria in Coordination Games," Journal of Economic Theory, Elsevier, vol. 107(2), pages 191-222, December.
    16. Aleh Tsyvinski & Arijit Mukherji & Christian Hellwig, 2006. "Self-Fulfilling Currency Crises: The Role of Interest Rates," American Economic Review, American Economic Association, vol. 96(5), pages 1769-1787, December.
    17. Verrecchia, Robert E, 1982. "Information Acquisition in a Noisy Rational Expectations Economy," Econometrica, Econometric Society, vol. 50(6), pages 1415-1430, November.
    18. Pearce, David G, 1984. "Rationalizable Strategic Behavior and the Problem of Perfection," Econometrica, Econometric Society, vol. 52(4), pages 1029-1050, July.
    19. ,, 2007. "Complementarities in information acquisition with short-term trades," Theoretical Economics, Econometric Society, vol. 2(4), December.
    20. Stephen Morris & Hyun Song Shin, 2002. "Social Value of Public Information," American Economic Review, American Economic Association, vol. 92(5), pages 1521-1534, December.
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    More about this item

    Keywords

    Rational Expectations; Eductive Stability; Asymmetric Information; Information Acquisition.;
    All these keywords.

    JEL classification:

    • D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design
    • D84 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Expectations; Speculations

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