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A Characterization of the Distributions That Imply Existence of Linear Equilbria in the Kyle-Model

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  • Nöldeke, Georg
  • Tröger, Thomas

Abstract

The existence of a linear equilibrium in Kyle's model of market making with multiple, symmetrically informed strategic traders is implied for any number of strategic traders if the joint distribution of the underlying exogenous random variables is elliptical. The reverse implication has been shown for the case in which the random variables are independent and have finite second moments. Here we extend this result to the case in which the underlying random variables are not necessarily independent and their joint distribution is determined by its moments.

Suggested Citation

  • Nöldeke, Georg & Tröger, Thomas, 2005. "A Characterization of the Distributions That Imply Existence of Linear Equilbria in the Kyle-Model," Bonn Econ Discussion Papers 9/2005, University of Bonn, Bonn Graduate School of Economics (BGSE).
    • Handle: RePEc:zbw:bonedp:92005
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    References listed on IDEAS

    as
    1. Jean-Charles Rochet & Jean-Luc Vila, 1994. "Insider Trading without Normality," Review of Economic Studies, Oxford University Press, vol. 61(1), pages 131-152.
    2. Nöldeke, Georg & Tröger, Thomas, 2004. "On the Existence of Linear Equilibria in the Rochet-Vila Model of Market Making," Bonn Econ Discussion Papers 19/2004, University of Bonn, Bonn Graduate School of Economics (BGSE).
    3. Mark Bagnoli & S. Viswanathan & Craig Holden, 2001. "On the Existence of Linear Equilibria in Models of Market Making," Mathematical Finance, Wiley Blackwell, vol. 11(1), pages 1-31, January.
    4. Kyle, Albert S, 1985. "Continuous Auctions and Insider Trading," Econometrica, Econometric Society, vol. 53(6), pages 1315-1335, November.
    5. Foster, F Douglas & Viswanathan, S, 1993. "The Effect of Public Information and Competition on Trading Volume and Price Volatility," Review of Financial Studies, Society for Financial Studies, vol. 6(1), pages 23-56.
    6. Noldeke, Georg & Troger, Thomas, 2001. "Existence of linear equilibria in the Kyle model with multiple informed traders," Economics Letters, Elsevier, vol. 72(2), pages 159-164, August.
    7. Chamberlain, Gary, 1983. "A characterization of the distributions that imply mean--Variance utility functions," Journal of Economic Theory, Elsevier, vol. 29(1), pages 185-201, February.
    Full references (including those not matched with items on IDEAS)

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    More about this item

    Keywords

    Market Microstructure; Kyle Model; Linear Equilibria; Elliptical Distributions;
    All these keywords.

    JEL classification:

    • D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design
    • G14 - Financial Economics - - General Financial Markets - - - Information and Market Efficiency; Event Studies; Insider Trading

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