IDEAS home Printed from https://ideas.repec.org/p/upf/upfgen/785.html
   My bibliography  Save this paper

Noise and aggregation of information in large markets

Author

Listed:
  • Diego García
  • Branko Urosevic

Abstract

We study a novel class of noisy rational expectations equilibria in markets with large number of agents. We show that, as long as noise increases with the number of agents in the economy, the limiting competitive equilibrium is well-defined and leads to non-trivial information acquisition, perfect information aggregation, and partially revealing prices, even if per capita noise tends to zero. We find that in such equilibrium risk sharing and price revelation play di erent roles than in the standard limiting economy in which per capita noise is not negligible. We apply our model to study information sales by a monopolist, information acquisition in multi-asset markets, and derivatives trading. The limiting equilibria are shown to be perfectly competitive, even when a strategic solution concept is used.

Suggested Citation

  • Diego García & Branko Urosevic, 2004. "Noise and aggregation of information in large markets," Economics Working Papers 785, Department of Economics and Business, Universitat Pompeu Fabra.
  • Handle: RePEc:upf:upfgen:785
    as

    Download full text from publisher

    File URL: https://econ-papers.upf.edu/papers/785.pdf
    File Function: Whole Paper
    Download Restriction: no

    References listed on IDEAS

    as
    1. John Y. Campbell & Sanford J. Grossman & Jiang Wang, 1993. "Trading Volume and Serial Correlation in Stock Returns," The Quarterly Journal of Economics, Oxford University Press, vol. 108(4), pages 905-939.
    2. DeMarzo, Peter & Skiadas, Costis, 1998. "Aggregation, Determinacy, and Informational Efficiency for a Class of Economies with Asymmetric Information," Journal of Economic Theory, Elsevier, vol. 80(1), pages 123-152, May.
    3. 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.
    4. Matthew Jackson, 2003. "Efficiency and information aggregation in auctions with costly information," Review of Economic Design, Springer;Society for Economic Design, vol. 8(2), pages 121-141, October.
    5. Alan D. Morrison & Nir Vulcan, 2003. "Making Money out of Publicly Available Information," The Centre for Market and Public Organisation 03/065, Department of Economics, University of Bristol, UK.
    6. Jackson, Matthew O. & Kremer, Ilan, 2004. "The relationship between the allocation of goods and a seller's revenue," Journal of Mathematical Economics, Elsevier, vol. 40(3-4), pages 371-392, June.
    7. Demange Gabrielle & Laroque Guy, 1995. "Private Information and the Design of Securities," Journal of Economic Theory, Elsevier, vol. 65(1), pages 233-257, February.
    8. 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.
    9. Hellwig, Martin F., 1980. "On the aggregation of information in competitive markets," Journal of Economic Theory, Elsevier, vol. 22(3), pages 477-498, June.
    10. Milgrom, Paul R, 1979. "A Convergence Theorem for Competitive Bidding with Differential Information," Econometrica, Econometric Society, vol. 47(3), pages 679-688, May.
    11. repec:bla:joares:v:27:y:1989:i:1:p:21-39 is not listed on IDEAS
    12. Diamond, Douglas W, 1985. " Optimal Release of Information by Firms," Journal of Finance, American Finance Association, vol. 40(4), pages 1071-1094, September.
    13. Jiang Wang, 1993. "A Model of Intertemporal Asset Prices Under Asymmetric Information," Review of Economic Studies, Oxford University Press, vol. 60(2), pages 249-282.
    14. Brennan, Michael J & Cao, H Henry, 1996. "Information, Trade, and Derivative Securities," Review of Financial Studies, Society for Financial Studies, vol. 9(1), pages 163-208.
    15. S. Viswanathan & James J.D. Wang, 2004. "Optimal Bidding in Multi-Unit Discriminatory Auctions: Two Bidders," Econometric Society 2004 North American Winter Meetings 58, Econometric Society.
    16. Verrecchia, Robert E., 2001. "Essays on disclosure," Journal of Accounting and Economics, Elsevier, vol. 32(1-3), pages 97-180, December.
    17. Ausubel, Lawrence M, 1990. "Insider Trading in a Rational Expectations Economy," American Economic Review, American Economic Association, vol. 80(5), pages 1022-1041, December.
    18. Rohit Rahi, 1996. "Adverse Selection and Security Design," Review of Economic Studies, Oxford University Press, vol. 63(2), pages 287-300.
    19. Ilan Kremer, 2002. "Information Aggregation in Common Value Auctions," Econometrica, Econometric Society, vol. 70(4), pages 1675-1682, July.
    20. Robert Wilson, 1977. "A Bidding Model of Perfect Competition," Review of Economic Studies, Oxford University Press, vol. 44(3), pages 511-518.
    21. Verrecchia, Robert E, 1982. "Information Acquisition in a Noisy Rational Expectations Economy," Econometrica, Econometric Society, vol. 50(6), pages 1415-1430, November.
    22. Jeroen M. Swinkels, 1999. "Asymptotic Efficiency for Discriminatory Private Value Auctions," Review of Economic Studies, Oxford University Press, vol. 66(3), pages 509-528.
    23. Wolfgang Pesendorfer & Jeroen M. Swinkels, 1997. "The Loser's Curse and Information Aggregation in Common Value Auctions," Econometrica, Econometric Society, vol. 65(6), pages 1247-1282, November.
    24. Hong, Han & Shum, Matthew, 2004. "Rates of information aggregation in common value auctions," Journal of Economic Theory, Elsevier, vol. 116(1), pages 1-40, May.
    25. Kyle, Albert S, 1985. "Continuous Auctions and Insider Trading," Econometrica, Econometric Society, vol. 53(6), pages 1315-1335, November.
    26. Vives, Xavier, 1988. "Aggregation of Information in Large Cournot Markets," Econometrica, Econometric Society, vol. 56(4), pages 851-876, July.
    27. Cao, H Henry, 1999. "The Effect of Derivative Assets on Information Acquisition and Price Behavior in a Rational Expectations Equilibrium," Review of Financial Studies, Society for Financial Studies, vol. 12(1), pages 131-163.
    28. 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.
    29. Admati, Anat R. & Pfleiderer, Paul, 1986. "A monopolistic market for information," Journal of Economic Theory, Elsevier, vol. 39(2), pages 400-438, August.
    30. Admati, Anat R, 1985. "A Noisy Rational Expectations Equilibrium for Multi-asset Securities Markets," Econometrica, Econometric Society, vol. 53(3), pages 629-657, May.
    31. Back, Kerry & Zender, Jaime F, 1993. "Auctions of Divisible Goods: On the Rationale for the Treasury Experiment," Review of Financial Studies, Society for Financial Studies, vol. 6(4), pages 733-764.
    Full references (including those not matched with items on IDEAS)

    More about this item

    Keywords

    Partially revealing equilibria; competitive equilibrium; rational expectations; information acquisition; markets for information; derivatives trading; multi-asset markets; share auctions;

    JEL classification:

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

    NEP fields

    This paper has been announced in the following NEP Reports:

    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:upf:upfgen:785. 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: (). General contact details of provider: http://www.econ.upf.edu/ .

    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 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.

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

    IDEAS is a RePEc service hosted by the Research Division of the Federal Reserve Bank of St. Louis . RePEc uses bibliographic data supplied by the respective publishers.