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Competitive rational expectations equilibria without apology

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  • Kovalenkov, Alexander
  • Vives, Xavier

Abstract

Consider a financial market with N risk-averse asymmetrically informed traders. When N grows at the same rate as noise trading, prices in competitive and in strategic rational expectations equilibrium converge to each other at a rate of 1/N. Equilibria in the two scenarios are close when noise trading volume per informed trader is large in relation to risk-bearing capacity. Both equilibria converge to the competitive equilibrium of a limit continuum economy as the market becomes large at a slower rate of 1/N. The results extend to endogenous information acquisition and the connections with the Grossman–Stiglitz paradox are highlighted.

Suggested Citation

  • Kovalenkov, Alexander & Vives, Xavier, 2014. "Competitive rational expectations equilibria without apology," Journal of Economic Theory, Elsevier, vol. 149(C), pages 211-235.
  • Handle: RePEc:eee:jetheo:v:149:y:2014:i:c:p:211-235
    DOI: 10.1016/j.jet.2013.05.002
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    References listed on IDEAS

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    1. Xavier Vives, 2002. "Private Information, Strategic Behavior, and Efficiency in Cournot Markets," RAND Journal of Economics, The RAND Corporation, vol. 33(3), pages 361-376, Autumn.
    2. Xavier Vives, 2011. "Strategic Supply Function Competition With Private Information," Econometrica, Econometric Society, vol. 79(6), pages 1919-1966, November.
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    Citations

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    Cited by:

    1. Xavier Vives, 2014. "On The Possibility Of Informationally Efficient Markets," Journal of the European Economic Association, European Economic Association, vol. 12(5), pages 1200-1239, October.
    2. García, Diego & Urošević, Branko, 2013. "Noise and aggregation of information in large markets," Journal of Financial Markets, Elsevier, vol. 16(3), pages 526-549.
    3. Allen, Franklin & Vayanos, Dimitri & Vives, Xavier, 2014. "Introduction to financial economics," Journal of Economic Theory, Elsevier, vol. 149(C), pages 1-14.
    4. Pasquariello, Paolo, 2014. "Prospect Theory and market quality," Journal of Economic Theory, Elsevier, vol. 149(C), pages 276-310.
    5. Han, Bing & Tang, Ya & Yang, Liyan, 2016. "Public information and uninformed trading: Implications for market liquidity and price efficiency," Journal of Economic Theory, Elsevier, vol. 163(C), pages 604-643.
    6. Ou-Yang, Hui & Wu, Weili, 2017. "Net trade and market efficiency in Grossman and Stiglitz (1980)," Journal of Economic Theory, Elsevier, vol. 167(C), pages 75-85.

    More about this item

    Keywords

    “Schizophrenia” problem; Strategic equilibrium; Large markets; Information acquisition; Free entry; Rate of convergence;

    JEL classification:

    • G10 - Financial Economics - - General Financial Markets - - - General (includes Measurement and Data)
    • G12 - Financial Economics - - General Financial Markets - - - Asset Pricing; Trading Volume; Bond Interest Rates
    • D41 - Microeconomics - - Market Structure, Pricing, and Design - - - Perfect Competition
    • D43 - Microeconomics - - Market Structure, Pricing, and Design - - - Oligopoly and Other Forms of Market Imperfection

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