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Existence of an Equilibrium for Lower Semicontinuous Information Acquisition Functions

Author

Listed:
  • Agnes Bialecki

    (ENS de Lyon - École normale supérieure de Lyon - Université de Lyon)

  • Eleonore Haguet

    (ENSAE Paris - École Nationale de la Statistique et de l'Administration Économique)

  • Gabriel Turinici

    (CEREMADE - CEntre de REcherches en MAthématiques de la DEcision - Université Paris Dauphine-PSL - PSL - Université Paris Sciences et Lettres - CNRS - Centre National de la Recherche Scientifique)

Abstract

We consider a two-period model in which a continuum of agents trade in a context of costly information acquisition and systematic heterogeneous expectations biases. Because of systematic biases agents are supposed not to learn from others' decisions. In a previous work under somehow strong technical assumptions a market equilibrium was proved to exist and the supply and demand functions were proved to be strictly monotonic with respect to the price. Here we extend these results under very weak technical assumptions. We also prove that the equilibrium price maximizes the trading volume and further additional properties (such as the antimonotonicity of the trading volume with respect to the marginal information price).

Suggested Citation

  • Agnes Bialecki & Eleonore Haguet & Gabriel Turinici, 2014. "Existence of an Equilibrium for Lower Semicontinuous Information Acquisition Functions," Post-Print hal-00723189, HAL.
    • Handle: RePEc:hal:journl:hal-00723189
    DOI: 10.1155/2014/268427
    Note: View the original document on HAL open archive server: https://hal.science/hal-00723189v3
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    References listed on IDEAS

    as
    1. Marco Pagano, 1989. "Endogenous Market Thinness and Stock Price Volatility," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 56(2), pages 269-287.
    2. 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.
    3. Stephen Morris, 1996. "Speculative Investor Behavior and Learning," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 111(4), pages 1111-1133.
    4. Peng, Lin, 2005. "Learning with Information Capacity Constraints," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 40(2), pages 307-329, June.
    5. De Long, J Bradford & Andrei Shleifer & Lawrence H. Summers & Robert J. Waldmann, 1990. "Noise Trader Risk in Financial Markets," Journal of Political Economy, University of Chicago Press, vol. 98(4), pages 703-738, August.
    6. Ko, K. Jeremy & (James) Huang, Zhijian, 2007. "Arrogance can be a virtue: Overconfidence, information acquisition, and market efficiency," Journal of Financial Economics, Elsevier, vol. 84(2), pages 529-560, May.
    7. Grossman, Sanford, 1978. "Further results on the informational efficiency of competitive stock markets," Journal of Economic Theory, Elsevier, vol. 18(1), pages 81-101, June.
    8. Ho-Mou Wu & Wen-Chung Guo, 2004. "Asset price volatility and trading volume with rational beliefs," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 23(4), pages 795-829, May.
    9. Sanford J. Grossman, 1977. "The Existence of Futures Markets, Noisy Rational Expectations and Informational Externalities," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 44(3), pages 431-449.
    10. Abarbanell, Jeffery S. & Lanen, William N. & Verrecchia, Robert E., 1995. "Analysts' forecasts as proxies for investor beliefs in empirical research," Journal of Accounting and Economics, Elsevier, vol. 20(1), pages 31-60, July.
    11. Laura L. Veldkamp, 2006. "Media Frenzies in Markets for Financial Information," American Economic Review, American Economic Association, vol. 96(3), pages 577-601, June.
    12. Ho-Mou Wu & Wen-Chung Guo, 2003. "Speculative trading with rational beliefs and endogenous uncertainty," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 21(2), pages 263-292, March.
    13. Jackson, Matthew O, 1991. "Equilibrium, Price Formation, and the Value of Private Information," The Review of Financial Studies, Society for Financial Studies, vol. 4(1), pages 1-16.
    14. Krebs, Tom, 2007. "Rational expectations equilibrium and the strategic choice of costly information," Journal of Mathematical Economics, Elsevier, vol. 43(5), pages 532-548, June.
    15. repec:dau:papers:123456789/7431 is not listed on IDEAS
    16. Grossman, Sanford J, 1976. "On the Efficiency of Competitive Stock Markets Where Trades Have Diverse Information," Journal of Finance, American Finance Association, vol. 31(2), pages 573-585, May.
    17. Verrecchia, Robert E, 1982. "Information Acquisition in a Noisy Rational Expectations Economy," Econometrica, Econometric Society, vol. 50(6), pages 1415-1430, November.
    18. Varian, Hal R, 1985. "Divergence of Opinion in Complete Markets: A Note," Journal of Finance, American Finance Association, vol. 40(1), pages 309-317, March.
    19. Harris, Milton & Raviv, Artur, 1993. "Differences of Opinion Make a Horse Race," The Review of Financial Studies, Society for Financial Studies, vol. 6(3), pages 473-506.
    20. Wang, Jiang, 1994. "A Model of Competitive Stock Trading Volume," Journal of Political Economy, University of Chicago Press, vol. 102(1), pages 127-168, February.
    21. Min Shen & Gabriel Turinici, 2012. "Liquidity generated by heterogeneous beliefs and costly estimations," Post-Print hal-00638966, HAL.
    Full references (including those not matched with items on IDEAS)

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    Keywords

    information acquisition; heterogeneous beliefs; heterogeneous estimations; Grossman-Stiglitz paradox; costly information;
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