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Competitive Rational Expectations Equilibria Without Apology

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  • Vives, Xavier
  • Kovalenkov, Alex

Abstract

In a standard financial market model with asymmetric information with a finite number N of risk-averse informed traders, competitive rational expectations equilibria provide a good approximation to strategic equilibria as long as N is not too small: equilibrium prices in each situation converge to each other at a rate of 1/N as the market becomes large. The approximation is particularly good when the informationally adjusted risk bearing capacity of traders is not very large. This is not the case if informed traders are close to risk neutral. Both equilibria converge to the competitive equilibrium of an idealized limit continuum economy as the market becomes large at a slower rate of 1/ root N and, therefore, the limit equilibrium need not be a good approximation of the strategic equilibrium in moderately large markets.

Suggested Citation

  • Vives, Xavier & Kovalenkov, Alex, 2008. "Competitive Rational Expectations Equilibria Without Apology," CEPR Discussion Papers 7025, C.E.P.R. Discussion Papers.
  • Handle: RePEc:cpr:ceprdp:7025
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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. Kalai, Ehud & Shmaya, Eran, 2018. "Large strategic dynamic interactions," Journal of Economic Theory, Elsevier, vol. 178(C), pages 59-81.
    3. 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.
    4. García, Diego & Urošević, Branko, 2013. "Noise and aggregation of information in large markets," Journal of Financial Markets, Elsevier, vol. 16(3), pages 526-549.
    5. Panagiotis Anagnostidis & Patrice Fontaine & Christos Varsakelis, 2020. "Are high–frequency traders informed?," Post-Print hal-03062831, HAL.
    6. Nezafat, Mahdi & Schroder, Mark, 2023. "The negative value of private information in illiquid markets," Journal of Economic Theory, Elsevier, vol. 210(C).
    7. Pasquariello, Paolo, 2014. "Prospect Theory and market quality," Journal of Economic Theory, Elsevier, vol. 149(C), pages 276-310.
    8. Anagnostidis, Panagiotis & Fontaine, Patrice & Varsakelis, Christos, 2020. "Are high–frequency traders informed?," Economic Modelling, Elsevier, vol. 93(C), pages 365-383.
    9. 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.
    10. Jordi Mondria & Xavier Vives & Liyan Yang, 2022. "Costly Interpretation of Asset Prices," Management Science, INFORMS, vol. 68(1), pages 52-74, January.
    11. 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.
    12. Dammak, Wael & Hamad, Salah Ben & de Peretti, Christian & Eleuch, Hichem, 2023. "Pricing of European currency options considering the dynamic information costs," Global Finance Journal, Elsevier, vol. 58(C).
    13. Allen, Franklin & Vayanos, Dimitri & Vives, Xavier, 2014. "Introduction to financial economics," Journal of Economic Theory, Elsevier, vol. 149(C), pages 1-14.
    14. Zhou, Hang, 2022. "Informed speculation with k-level reasoning," Journal of Economic Theory, Elsevier, vol. 200(C).
    15. 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.
    16. 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.
    17. Lou, Youcheng & Rahi, Rohit, 2023. "Information, market power and welfare," Journal of Economic Theory, Elsevier, vol. 214(C).
    18. Michail Anthropelos & Scott Robertson, 2024. "Strategic Informed Trading and the Value of Private Information," Papers 2404.08757, arXiv.org.
    19. 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.
    20. 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.

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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:

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

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