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Competitive Rational Expectations Equilibria without Apology

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Author Info

  • Alexander Kovalenkov
  • Xavier Vives

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 eachsituation converge to each other at a rate of 1/N as the market becomes large. Theapproximation 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/ãN and, therefore, the limit equilibrium need not be a good approximation of the strategic equilibrium in moderately large markets.

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Bibliographic Info

Paper provided by CESifo Group Munich in its series CESifo Working Paper Series with number 2446.

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Date of creation: 2008
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Handle: RePEc:ces:ceswps:_2446

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Keywords: gschizophreniah problem; strategic equilibrium; large markets; information acquisition; free entry; rate of convergence;

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References

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  1. Philip J Reny & Motty Perry, 2006. "Toward a Strategic Foundation for Rational Expectations Equilibrium," Econometrica, Econometric Society, vol. 74(5), pages 1231-1269, 09.
  2. Carolina Manzano & Xavier Vives, 2010. "Public and Private Learning from Prices, Strategic Substitutability and Complementarity, and Equilibrium Multiplicity," CESifo Working Paper Series 3137, CESifo Group Munich.
  3. Rustichini, Aldo & Satterthwaite, Mark A & Williams, Steven R, 1994. "Convergence to Efficiency in a Simple Market with Incomplete Information," Econometrica, Econometric Society, vol. 62(5), pages 1041-63, September.
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  5. Vives, Xavier, 2008. "Strategic supply function competition with private information," IESE Research Papers D/774, IESE Business School.
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  7. Han Hong & Matthew Shum, 2002. "Rates of Information Aggregation in Common Value Auctions," Economics Working Paper Archive 436, The Johns Hopkins University,Department of Economics.
  8. Hellwig, Martin F., 1980. "On the aggregation of information in competitive markets," Journal of Economic Theory, Elsevier, vol. 22(3), pages 477-498, June.
  9. Cho, Jin-Wan & Krishnan, Murugappa, 2000. "Prices as Aggregators of Private Information: Evidence from S&P 500 Futures Data," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 35(01), pages 111-126, March.
  10. Vives, X., 1993. "Short-Term Investment and the Informational Efficiency of the Market," UFAE and IAE Working Papers 207.93, Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC).
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  16. Admati, Anat R, 1985. "A Noisy Rational Expectations Equilibrium for Multi-asset Securities Markets," Econometrica, Econometric Society, vol. 53(3), pages 629-57, May.
  17. 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.
  18. Milgrom, Paul R, 1981. "Rational Expectations, Information Acquisition, and Competitive Bidding," Econometrica, Econometric Society, vol. 49(4), pages 921-43, June.
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Cited by:
  1. Allen, Franklin & Vayanos, Dimitri & Vives, Xavier, 2014. "Introduction to financial economics," Journal of Economic Theory, Elsevier, vol. 149(C), pages 1-14.
  2. Pasquariello, Paolo, 2014. "Prospect Theory and market quality," Journal of Economic Theory, Elsevier, vol. 149(C), pages 276-310.

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