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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.

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  • 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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    Cited by:

    1. Estelle Cantillon & Aurélie Slechten, 2018. "Information Aggregation in Emissions Markets with Abatement," Annals of Economics and Statistics, GENES, issue 132, pages 53-79.
    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. Nezafat, Mahdi & Schroder, Mark, 2023. "The negative value of private information in illiquid markets," Journal of Economic Theory, Elsevier, vol. 210(C).
    4. Pasquariello, Paolo, 2014. "Prospect Theory and market quality," Journal of Economic Theory, Elsevier, vol. 149(C), pages 276-310.
    5. Anagnostidis, Panagiotis & Fontaine, Patrice & Varsakelis, Christos, 2020. "Are high–frequency traders informed?," Economic Modelling, Elsevier, vol. 93(C), pages 365-383.
    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.
    7. 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.
    8. Allen, Franklin & Vayanos, Dimitri & Vives, Xavier, 2014. "Introduction to financial economics," Journal of Economic Theory, Elsevier, vol. 149(C), pages 1-14.
    9. Jordi Mondria & Xavier Vives & Liyan Yang, 2022. "Costly Interpretation of Asset Prices," Management Science, INFORMS, vol. 68(1), pages 52-74, January.
    10. 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.
    11. Lou, Youcheng & Parsa, Sahar & Ray, Debraj & Li, Duan & Wang, Shouyang, 2019. "Information aggregation in a financial market with general signal structure," Journal of Economic Theory, Elsevier, vol. 183(C), pages 594-624.
    12. Anna Bayona, 2018. "The social value of information with an endogenous public signal," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 66(4), pages 1059-1087, December.
    13. Lou, Youcheng & Rahi, Rohit, 2023. "Information, market power and welfare," LSE Research Online Documents on Economics 120479, London School of Economics and Political Science, LSE Library.
    14. Kalai, Ehud & Shmaya, Eran, 2018. "Large strategic dynamic interactions," Journal of Economic Theory, Elsevier, vol. 178(C), pages 59-81.
    15. Panagiotis Anagnostidis & Patrice Fontaine & Christos Varsakelis, 2020. "Are high–frequency traders informed?," Post-Print hal-03062831, HAL.
    16. Satterthwaite, Mark A. & Williams, Steven R. & Zachariadis, Konstantinos E., 2022. "Price discovery using a double auction," Games and Economic Behavior, Elsevier, vol. 131(C), pages 57-83.
    17. Zhou, Hang, 2022. "Informed speculation with k-level reasoning," Journal of Economic Theory, Elsevier, vol. 200(C).

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    More about this item

    Keywords

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

    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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