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Public and private learning from prices, strategic substitutability and complementarity, and equilibrium multiplicity

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  • Manzano, Carolina
  • Vives, Xavier

Abstract

We study a general static noisy rational expectations model where investors have private information about asset payoffs, with common and private components, and about their own exposure to an aggregate risk factor, and derive conditions for existence and uniqueness (or multiplicity) of equilibria. We find that a main driver of the characterization of equilibria is whether the actions of investors are strategic substitutes or complements. This latter property in turn is driven by the strength of a private learning channel from prices, arising from the multidimensional sources of asymmetric information, in relation to the usual public learning channel. When the private learning channel is strong (weak) in relation to the public we have strong (weak) strategic complementarity in actions and potentially multiple (unique) equilibria. The results enable a precise characterization of whether information acquisition decisions are strategic substitutes or complements. We find that the strategic substitutability in information acquisition result obtained in Grossman and Stiglitz (1980) is robust. JEL Classification: D82, D83, G14 Keywords: Rational expectations equilibrium, asymmetric information, risk exposure, hedging, supply information, information acquisition.

Suggested Citation

  • Manzano, Carolina & Vives, Xavier, 2010. "Public and private learning from prices, strategic substitutability and complementarity, and equilibrium multiplicity," Working Papers 2072/151544, Universitat Rovira i Virgili, Department of Economics.
  • Handle: RePEc:urv:wpaper:2072/151544
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    References listed on IDEAS

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    1. Kathy Yuan & Emre Ozdenoren & Itay Goldstein, 2008. "Learning and Complementarities: Implications for Speculative Attacks," 2008 Meeting Papers 276, Society for Economic Dynamics.
    2. Bruno Biais & Peter Bossaerts & Chester Spatt, 2010. "Equilibrium Asset Pricing and Portfolio Choice Under Asymmetric Information," The Review of Financial Studies, Society for Financial Studies, vol. 23(4), pages 1503-1543, April.
    3. Manuel Amador & Pierre-Olivier Weill, 2010. "Learning from Prices: Public Communication and Welfare," Journal of Political Economy, University of Chicago Press, vol. 118(5), pages 866-907.
    4. Federico Echenique, 2002. "Comparative Statics by Adaptive Dynamics and the Correspondence Principle," Econometrica, Econometric Society, vol. 70(2), pages 833-844, March.
    5. 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.
    6. 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.
    7. Christian Hellwig & Laura Veldkamp, 2009. "Knowing What Others Know: Coordination Motives in Information Acquisition," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 76(1), pages 223-251.
    8. He, Hua & Wang, Jiang, 1995. "Differential Information and Dynamic Behavior of Stock Trading Volume," The Review of Financial Studies, Society for Financial Studies, vol. 8(4), pages 919-972.
    9. Blume, L. E. & Bray, M. M. & Easley, D., 1982. "Introduction to the stability of rational expectations equilibrium," Journal of Economic Theory, Elsevier, vol. 26(2), pages 313-317, April.
    10. Duffie Darrell & Rahi Rohit, 1995. "Financial Market Innovation and Security Design: An Introduction," Journal of Economic Theory, Elsevier, vol. 65(1), pages 1-42, February.
    11. Maik Heinemann, 2010. "Stability under learning of equilibria in financial markets with supply information," Economics Bulletin, AccessEcon, vol. 30(1), pages 383-391.
    12. R. Guesnerie, 2002. "Anchoring Economic Predictions in Common Knowledge," Econometrica, Econometric Society, vol. 70(2), pages 439-480, March.
    13. Gennotte, Gerard & Leland, Hayne, 1990. "Market Liquidity, Hedging, and Crashes," American Economic Review, American Economic Association, vol. 80(5), pages 999-1021, December.
    14. Xavier Vives, 1993. "How Fast do Rational Agents Learn?," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 60(2), pages 329-347.
    15. 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.
    16. Vives, Xavier, 1995. "Short-Term Investment and the Informational Efficiency of the Market," The Review of Financial Studies, Society for Financial Studies, vol. 8(1), pages 125-160.
    17. Christophe Chamley, 2008. "On "Acquisition of information in Financial Markets"," PSE-Ecole d'économie de Paris (Postprint) halshs-00754259, HAL.
    18. Laura L. Veldkamp, 2006. "Media Frenzies in Markets for Financial Information," American Economic Review, American Economic Association, vol. 96(3), pages 577-601, June.
    19. Danthine, Jean-Pierre & Moresi, Serge, 1993. "Volatility, information and noise trading," European Economic Review, Elsevier, vol. 37(5), pages 961-982, June.
    20. Christophe Chamley, 2007. "Complementarities in Information Acquisition with Short-Term Trades," Post-Print halshs-00754190, HAL.
    21. Christophe Chamley, 2007. "Complementarities in Information Acquisition with Short-Term Trades," PSE-Ecole d'économie de Paris (Postprint) halshs-00754190, HAL.
    22. McCafferty, Stephen & Driskill, Robert, 1980. "Problems of Existence and Uniqueness in Nonlinear Rational Expectations Models," Econometrica, Econometric Society, vol. 48(5), pages 1313-1317, July.
    23. Xavier Vives, 2007. "Information and Learning in Markets," Levine's Bibliography 122247000000001520, UCLA Department of Economics.
    24. Itay Goldstein & Emre Ozdenoren & Kathy Yuan, 2011. "Learning and Complementarities in Speculative Attacks," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 78(1), pages 263-292.
    25. Gadi Barlevy & Pietro Veronesi, 2007. "Information acquisition in financial markets: a correction," Working Paper Series WP-07-06, Federal Reserve Bank of Chicago.
    26. Jayant Vivek Ganguli & Liyan Yang, 2009. "Complementarities, Multiplicity, and Supply Information," Journal of the European Economic Association, MIT Press, vol. 7(1), pages 90-115, March.
    27. Christophe Chamley, 2008. "On "Acquisition of Information in Financial Markets"," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 75(4), pages 1081-1084.
    28. Luis Angel Medran & Xavier Vives, 2004. "Regulating Insider Trading When Investment Matters," Review of Finance, European Finance Association, vol. 8(2), pages 199-277.
    29. Vives, Xavier, 1990. "Nash equilibrium with strategic complementarities," Journal of Mathematical Economics, Elsevier, vol. 19(3), pages 305-321.
    30. Lundholm, Rj, 1988. "Price-Signal Relations In The Presence Of Correlated Public And Private Information," Journal of Accounting Research, Wiley Blackwell, vol. 26(1), pages 107-118.
    31. ,, 2007. "Complementarities in information acquisition with short-term trades," Theoretical Economics, Econometric Society, vol. 2(4), December.
    32. Christophe Chamley, 2008. "On "Acquisition of information in Financial Markets"," Post-Print halshs-00754259, HAL.
    33. repec:ebl:ecbull:v:30:y:2010:i:1:p:383-391 is not listed on IDEAS
    34. Hirshleifer, David & Subrahmanyam, Avanidhar & Titman, Sheridan, 1994. "Security Analysis and Trading Patterns When Some Investors Receive Information before Others," Journal of Finance, American Finance Association, vol. 49(5), pages 1665-1698, December.
    35. Diamond, Douglas W. & Verrecchia, Robert E., 1981. "Information aggregation in a noisy rational expectations economy," Journal of Financial Economics, Elsevier, vol. 9(3), pages 221-235, September.
    36. Admati, Anat R, 1985. "A Noisy Rational Expectations Equilibrium for Multi-asset Securities Markets," Econometrica, Econometric Society, vol. 53(3), pages 629-657, May.
    Full references (including those not matched with items on IDEAS)

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    More about this item

    Keywords

    Expectatives racionals (Teoria econòmica); Equilibri (Economia); Cobertura del risc; Mercat eficient; 336 - Finances. Banca. Moneda. Borsa;
    All these keywords.

    JEL classification:

    • D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design
    • D83 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Search; Learning; Information and Knowledge; Communication; Belief; Unawareness
    • G14 - Financial Economics - - General Financial Markets - - - Information and Market Efficiency; Event Studies; Insider Trading

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