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Competitive Rational Expectations Equilibria without Apology

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  • 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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  1. Biais, Bruno & Martimort, David & Rochet, Jean-Charles, 1998. "Competing Mechanisms in a Commun Value Environment," IDEI Working Papers 75, Institut d'Économie Industrielle (IDEI), Toulouse.
  2. 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.
  3. 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).
  4. 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.
  5. 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.
  6. Martin W. Cripps & Jeroen M. Swinkels, 2006. "Efficiency of Large Double Auctions," Econometrica, Econometric Society, vol. 74(1), pages 47-92, 01.
  7. Yosha, Oved, 1997. "Diversification and Competition: Financial Intermediation in a Large Cournot-Walras Economy," Journal of Economic Theory, Elsevier, vol. 75(1), pages 64-88, July.
  8. Hayne E. Leland., 1990. "Insider Trading: Should It Be Prohibited?," Research Program in Finance Working Papers RPF-195, University of California at Berkeley.
  9. Admati, Anat R, 1985. "A Noisy Rational Expectations Equilibrium for Multi-asset Securities Markets," Econometrica, Econometric Society, vol. 53(3), pages 629-57, May.
  10. Kyle, Albert S, 1989. "Informed Speculation with Imperfect Competition," Review of Economic Studies, Wiley Blackwell, vol. 56(3), pages 317-55, July.
  11. Hellwig, Martin F., 1980. "On the aggregation of information in competitive markets," Journal of Economic Theory, Elsevier, vol. 22(3), pages 477-498, June.
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