IDEAS home Printed from https://ideas.repec.org/p/cpr/ceprdp/7949.html
   My bibliography  Save this paper

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

Author

Listed:
  • Vives, Xavier
  • Manzano, Carolina

Abstract

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.

Suggested Citation

  • Vives, Xavier & Manzano, Carolina, 2010. "Public and Private Learning from Prices, Strategic Substitutability and Complementarity, and Equilibrium Multiplicity," CEPR Discussion Papers 7949, C.E.P.R. Discussion Papers.
  • Handle: RePEc:cpr:ceprdp:7949
    as

    Download full text from publisher

    File URL: https://cepr.org/publications/DP7949
    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 subscribers@cepr.org
    ---><---

    As the access to this document is restricted, you may want to look for a different version below or search for a different version of it.

    Other versions of this item:

    References listed on IDEAS

    as
    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," 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," Review of Economic Studies, Oxford University Press, 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)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Pavan, Alessandro & Vives, Xavier, 2015. "Information, Coordination, and Market Frictions: An Introduction," Journal of Economic Theory, Elsevier, vol. 158(PB), pages 407-426.
    2. Goldstein, Itay & Ozdenoren, Emre & Yuan, Kathy, 2013. "Trading frenzies and their impact on real investment," Journal of Financial Economics, Elsevier, vol. 109(2), pages 566-582.
    3. Angeletos, G.-M. & Lian, C., 2016. "Incomplete Information in Macroeconomics," Handbook of Macroeconomics, in: J. B. Taylor & Harald Uhlig (ed.), Handbook of Macroeconomics, edition 1, volume 2, chapter 0, pages 1065-1240, Elsevier.
    4. Zhifeng Cai, 2020. "Dynamic information acquisition and time-varying uncertainty," Departmental Working Papers 202002, Rutgers University, Department of Economics.
    5. Gao, Feng & Song, Fengming & Wang, Jun, 2013. "Rational expectations equilibrium with uncertain proportion of informed traders," Journal of Financial Markets, Elsevier, vol. 16(3), pages 387-413.
    6. Robert S. Gibbons & Richard T. Holden & Michael L. Powell, 2010. "Rational-Expectations Equilibrium in Intermediate Good Markets," NBER Working Papers 15783, National Bureau of Economic Research, Inc.
    7. Mäkinen, Taneli & Ohl, Björn, 2015. "Information acquisition and learning from prices over the business cycle," Journal of Economic Theory, Elsevier, vol. 158(PB), pages 585-633.
    8. Manzano, Carolina & Vives, Xavier, 2009. "Information Dispersion and Equilibrium Multiplicity," Working Papers 2072/43862, Universitat Rovira i Virgili, Department of Economics.
    9. Giovanni Cespa & Xavier Vives, 2012. "Dynamic Trading and Asset Prices: Keynes vs. Hayek," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 79(2), pages 539-580.
    10. Philippe Bacchetta & Eric Van Wincoop, 2006. "Can Information Heterogeneity Explain the Exchange Rate Determination Puzzle?," American Economic Review, American Economic Association, vol. 96(3), pages 552-576, June.
    11. García, Diego & Urošević, Branko, 2013. "Noise and aggregation of information in large markets," Journal of Financial Markets, Elsevier, vol. 16(3), pages 526-549.
    12. 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.
    13. Kendall, Chad, 2018. "The time cost of information in financial markets," Journal of Economic Theory, Elsevier, vol. 176(C), pages 118-157.
    14. Giovanni Cespa & Xavier Vives, 2011. "Expectations, Liquidity, and Short-term Trading," CESifo Working Paper Series 3390, CESifo.
    15. David Russ, 2020. "Multidimensional Noise and Non-Fundamental Information Diversity," Working Papers 201, Bavarian Graduate Program in Economics (BGPE).
    16. Giovanni Cespa, 2008. "Information Sales and Insider Trading with Long‐Lived Information," Journal of Finance, American Finance Association, vol. 63(2), pages 639-672, April.
    17. Verrecchia, Robert E., 2001. "Essays on disclosure," Journal of Accounting and Economics, Elsevier, vol. 32(1-3), pages 97-180, December.
    18. Giovanni Cespa & Xavier Vives, 2015. "The Beauty Contest and Short-Term Trading," Journal of Finance, American Finance Association, vol. 70(5), pages 2099-2154, October.
    19. Antonio Mele & Francesco Sangiorgi, 2009. "Ambiguity, Information Acquisition and Price Swings in Asset Markets," FMG Discussion Papers dp633, Financial Markets Group.
    20. Foucault, Thierry & Cespa, Giovanni, 2011. "Learning from Prices, Liquidity Spillovers, and Market Segmentation," CEPR Discussion Papers 8350, C.E.P.R. Discussion Papers.

    More about this item

    Keywords

    Asymmetric information; Hedging; Multiplicity of equilibria; Rational expectations equilibrium; Risk exposure; Strategic complementarity; Supply information;
    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

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:cpr:ceprdp:7949. See general information about how to correct material in RePEc.

    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 CitEc recognized a bibliographic reference but did not link an item in RePEc 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 RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: the person in charge (email available below). General contact details of provider: https://www.cepr.org .

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

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.