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Public and Private Learning from Prices, Strategic Substitutability and Complementarity, and Equilibrium Multiplicity

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  • Carolina Manzano
  • Xavier Vives

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.

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Bibliographic Info

Paper provided by CESifo Group Munich in its series CESifo Working Paper Series with number 3137.

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Date of creation: 2010
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Handle: RePEc:ces:ceswps:_3137

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Keywords: rational expectations equilibrium; strategic complementarity; multiplicity of equilibria; asymmetric information; risk exposure; bedging; supply information;

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References

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  1. Federico Echenique, 1999. "Comparative Statics by Adaptative Dynamics and the Correspondence Principle," Documentos de Trabajo (working papers) 2099, Department of Economics - dECON.
  2. Laura Veldkamp, 2003. "Media Frenzies in Markets for Financial Information," Working Papers 03-20, New York University, Leonard N. Stern School of Business, Department of Economics.
  3. He, Hua & Wang, Jiang, 1995. "Differential Information and Dynamic Behavior of Stock Trading Volume," Review of Financial Studies, Society for Financial Studies, vol. 8(4), pages 919-72.
  4. Admati, Anat R, 1985. "A Noisy Rational Expectations Equilibrium for Multi-asset Securities Markets," Econometrica, Econometric Society, vol. 53(3), pages 629-57, May.
  5. Vives, X., 1993. "Short-Term Investment and the Informational Efficiency of the Market," UFAE and IAE Working Papers 207.93, Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC).
  6. Laura L. Veldkamp, 2006. "Information Markets and the Comovement of Asset Prices," Review of Economic Studies, Oxford University Press, vol. 73(3), pages 823-845.
  7. Christian Hellwig & Laura Veldkamp, 2009. "Knowing What Others Know: Coordination Motives in Information Acquisition," Review of Economic Studies, Oxford University Press, vol. 76(1), pages 223-251.
  8. Itay Goldstein & Emre Ozdenoren & Kathy Yuan, 2011. "Learning and Complementarities in Speculative Attacks," Review of Economic Studies, Oxford University Press, vol. 78(1), pages 263-292.
  9. repec:ebl:ecbull:v:30:y:2010:i:1:p:383-391 is not listed on IDEAS
  10. Gerard Gennotte and Hayne Leland., 1989. "Market Liquidity, Hedging and Crashes," Research Program in Finance Working Papers RPF-192, University of California at Berkeley.
  11. McCafferty, Stephen & Driskill, Robert, 1980. "Problems of Existence and Uniqueness in Nonlinear Rational Expectations Models," Econometrica, Econometric Society, vol. 48(5), pages 1313-17, July.
  12. 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.
  13. Chamley, Christophe, 2007. "Complementarities in information acquisition with short-term trades," Theoretical Economics, Econometric Society, vol. 2(4), December.
  14. Manuel Amador & Pierre Olivier Weill, 2008. "Learning from Prices: Public Communication and Welfare," 2008 Meeting Papers 390, Society for Economic Dynamics.
  15. Guesnerie, R., 1999. "Anchoring Economic Predictions in Common Knowledge," DELTA Working Papers 1999-06, DELTA (Ecole normale supérieure).
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  17. Barlevy, Gadi & Veronesi, Pietro, 2000. "Information Acquisition in Financial Markets," Review of Economic Studies, Wiley Blackwell, vol. 67(1), pages 79-90, January.
  18. Vives, X., 1990. "How Fast Do Rational Agents Learn?," UFAE and IAE Working Papers 135-90, Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC).
  19. Goldstein, Itay & Ozdenoren, Emre & Yuan, Kathy, 2010. "Learning and Complementarities: Implications for Speculative Attacks," CEPR Discussion Papers 7651, C.E.P.R. Discussion Papers.
  20. 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.
  21. Jean-Pierre DANTHINE & Serge MORESI, 1990. "Volatility, Information, and Noise Trading," Cahiers de Recherches Economiques du Département d'Econométrie et d'Economie politique (DEEP) 9015, Université de Lausanne, Faculté des HEC, DEEP.
  22. 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, 03.
  23. Gadi Barlevy & Pietro Veronesi, 2007. "Information acquisition in financial markets: a correction," Working Paper Series WP-07-06, Federal Reserve Bank of Chicago.
  24. 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.
  25. Vives, X., 1988. "Nash Equilibrium With Strategic Complementarities," UFAE and IAE Working Papers 107-88, Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC).
  26. 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 1665-98, December.
  27. Medrano, Luis Angel & Vives, Xavier, 2002. "Regulating Insider Trading when Investment Matters," CEPR Discussion Papers 3292, C.E.P.R. Discussion Papers.
  28. Christophe Chamley, 2008. "On "Acquisition of Information in Financial Markets"," Review of Economic Studies, Oxford University Press, vol. 75(4), pages 1081-1084.
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Citations

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Cited by:
  1. May Elsayyad & Kai A. Konrad, 2011. "Fighting Multiple Tax Havens," Working Papers fighting_multiple_tax_hav, Max Planck Institute for Tax Law and Public Finance.
  2. Jess Benhabib & Pengfei Wang & Yi Wen, 2013. "Uncertainty and sentiment-driven equilibria," Working Papers 2013-011, Federal Reserve Bank of St. Louis.
  3. Larson, Nathan, 2011. "Clustering on the same news sources in an asset market," MPRA Paper 32823, University Library of Munich, Germany.
  4. Grégoire, Philippe & Huang, Hui, 2012. "Information disclosure with leakages," Economic Modelling, Elsevier, vol. 29(5), pages 2005-2010.
  5. Michael Funke & Yu-Fu Chen & Aaron Mehrota, 2011. "Global warming and extreme events: Rethinking the timing and intensity of environment policy," Quantitative Macroeconomics Working Papers 21105, Hamburg University, Department of Economics.
  6. Cespa, Giovanni & Vives, Xavier, 2009. "Dynamic Trading and Asset Prices: Keynes vs. Hayek," CEPR Discussion Papers 7506, C.E.P.R. Discussion Papers.
  7. Biais, Bruno & Foucault, Thierry & Moinas, Sophie, 2013. "Equilibrium Fast Trading," Les Cahiers de Recherche 968, HEC Paris.
  8. Hatchondo, Juan Carlos & Krusell, Per & Schneider, Martin, 2014. "Asset Trading and Valuation with Uncertain Exposure," Working Paper 14-5, Federal Reserve Bank of Richmond.
  9. Kovalenkov, Alexander & Vives, Xavier, 2014. "Competitive rational expectations equilibria without apology," Journal of Economic Theory, Elsevier, vol. 149(C), pages 211-235.

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