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Competitive Rational Expectations Equilibria without Apology

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Author Info
Alexander Kovalenkov ()
Xavier Vives ()

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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/ãN and, therefore, the limit equilibrium need not be a good approximation of the strategic equilibrium in moderately large markets.

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Publisher Info
Paper provided by CESifo Group Munich in its series CESifo Working Paper Series with number CESifo Working Paper No. 2446.

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

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

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Find related papers by JEL classification:
D41 - Microeconomics - - Market Structure and Pricing - - - Perfect Competition
D43 - Microeconomics - - Market Structure and Pricing - - - 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

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. 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. [Downloadable!] (restricted)
  3. 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.
  4. Martin W. Cripps & Jeroen M. Swinkels, 2006. "Efficiency of Large Double Auctions," Econometrica, Econometric Society, vol. 74(1), pages 47-92, 01. [Downloadable!] (restricted)
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  5. Kyle, Albert S, 1989. "Informed Speculation with Imperfect Competition," Review of Economic Studies, Blackwell Publishing, vol. 56(3), pages 317-55, July. [Downloadable!] (restricted)
  6. 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. [Downloadable!] (restricted)
  7. Bruno Biais & David Martimort & Jean-Charles Rochet, 2000. "Competing Mechanisms in a Common Value Environment," Econometrica, Econometric Society, vol. 68(4), pages 799-838, July.
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  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. [Downloadable!] (restricted)
  9. Leland, Hayne E, 1992. "Insider Trading: Should It Be Prohibited?," Journal of Political Economy, University of Chicago Press, vol. 100(4), pages 859-87, August. [Downloadable!] (restricted)
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