IDEAS home Printed from
MyIDEAS: Log in (now much improved!) to save this paper

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

  • Manzano, Carolina
  • Vives, Xavier

We study a general static noisy rational expectations model, where investors have private information about asset payo¤s, 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.

If you experience problems downloading a file, check if you have the proper application to view it first. In case of further problems read the IDEAS help page. Note that these files are not on the IDEAS site. Please be patient as the files may be large.

File URL:
Download Restriction: CEPR Discussion Papers are free to download for our researchers, subscribers and members. If you fall into one of these categories but have trouble downloading our papers, please contact us at

As the access to this document is restricted, you may want to look for a different version under "Related research" (further below) or search for a different version of it.

Paper provided by C.E.P.R. Discussion Papers in its series CEPR Discussion Papers with number 7949.

in new window

Date of creation: Aug 2010
Date of revision:
Handle: RePEc:cpr:ceprdp:7949
Contact details of provider: Postal:
Centre for Economic Policy Research, 77 Bastwick Street, London EC1V 3PZ.

Phone: 44 - 20 - 7183 8801
Fax: 44 - 20 - 7183 8820

Order Information: Email:

References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:

as in new window
  1. Hua He & Jiang Wang, 1995. "Differential Information and Dynamic Behavior of Stock Trading Volume," NBER Working Papers 5010, National Bureau of Economic Research, Inc.
  2. Laura Veldkamp, 2004. "Information Markets and the Comovement of Asset Prices," Working Papers 04-18, New York University, Leonard N. Stern School of Business, Department of Economics.
  3. Kathy Yuan & Emre Ozdenoren & Itay Goldstein, 2008. "Learning and Complementarities: Implications for Speculative Attacks," 2008 Meeting Papers 276, Society for Economic Dynamics.
  4. repec:ebl:ecbull:v:30:y:2010:i:1:p:383-391 is not listed on IDEAS
  5. Bruno Biais & Peter Bossaerts & Chester Spatt, 2010. "Equilibrium Asset Pricing and Portfolio Choice Under Asymmetric Information," Review of Financial Studies, Society for Financial Studies, vol. 23(4), pages 1503-1543, April.
  6. Federico Echenique., 2000. "Comparative Statics by Adaptive Dynamics and The Correspondence Principle," Economics Working Papers E00-273, University of California at Berkeley.
  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. 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.
  9. Laura L. Veldkamp, 2006. "Media Frenzies in Markets for Financial Information," American Economic Review, American Economic Association, vol. 96(3), pages 577-601, June.
  10. 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.
  11. Christophe Chamley, 2008. "On "Acquisition of information in Financial Markets"," Post-Print halshs-00754259, HAL.
  12. Gadi Barlevy & Pietro Veronesi, . "Information Acquisition in Financial Markets," CRSP working papers 484, Center for Research in Security Prices, Graduate School of Business, University of Chicago.
  13. Jean-Pierre Danthine & Serge Moresi, 1990. "Volatility, Information and Noise Trading," CEPR Financial Markets Paper 0010, European Science Foundation Network in Financial Markets, c/o C.E.P.R, 77 Bastwick Street, London EC1V 3PZ..
  14. Maik Heinemann, 2010. "Stability under learning of equilibria in financial markets with supply information," Economics Bulletin, AccessEcon, vol. 30(1), pages 383-391.
  15. 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).
  16. Chamley, Christophe, 2007. "Complementarities in information acquisition with short-term trades," Theoretical Economics, Econometric Society, vol. 2(4), December.
  17. Guesnerie, R., 1999. "Anchoring Economic Predictions in Common Knowledge," DELTA Working Papers 1999-06, DELTA (Ecole normale supérieure).
  18. Medrano, Luis Angel & Vives, Xavier, 2002. "Regulating Insider Trading when Investment Matters," CEPR Discussion Papers 3292, C.E.P.R. Discussion Papers.
  19. 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.
  20. Gadi Barlevy & Pietro Veronesi, 2007. "Information acquisition in financial markets: a correction," Working Paper Series WP-07-06, Federal Reserve Bank of Chicago.
  21. 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.
  22. 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.
  23. 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).
  24. Christophe Chamley, 2008. "On "Acquisition of Information in Financial Markets"," Review of Economic Studies, Oxford University Press, vol. 75(4), pages 1081-1084.
  25. Christophe Chamley, 2007. "Complementarities in Information Acquisition with Short-Term Trades," Post-Print halshs-00754190, HAL.
  26. Admati, Anat R, 1985. "A Noisy Rational Expectations Equilibrium for Multi-asset Securities Markets," Econometrica, Econometric Society, vol. 53(3), pages 629-57, May.
  27. 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).
  28. 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.
  29. 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.
  30. 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.
  31. Gennotte, Gerard & Leland, Hayne, 1990. "Market Liquidity, Hedging, and Crashes," American Economic Review, American Economic Association, vol. 80(5), pages 999-1021, December.
  32. 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.
  33. Xavier Vives, 2007. "Information and Learning in Markets," Levine's Bibliography 122247000000001520, UCLA Department of Economics.
Full references (including those not matched with items on IDEAS)

This item is not listed on Wikipedia, on a reading list or among the top items on IDEAS.

When requesting a correction, please mention this item's handle: RePEc:cpr:ceprdp:7949. See general information about how to correct material in RePEc.

For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: ()

If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

If references are entirely missing, you can add them using this form.

If the full references list an item that is present in RePEc, but the system did not link to it, you can help with this form.

If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your profile, as there may be some citations waiting for confirmation.

Please note that corrections may take a couple of weeks to filter through the various RePEc services.

This information is provided to you by IDEAS at the Research Division of the Federal Reserve Bank of St. Louis using RePEc data.