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A Characterization of the Distributions That Imply Existence of Linear Equilibria 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 Equilibria in the Kyle-Model," Discussion Paper Series of SFB/TR 15 Governance and the Efficiency of Economic Systems 43, Free University of Berlin, Humboldt University of Berlin, University of Bonn, University of Mannheim, University of Munich.
  • Handle: RePEc:trf:wpaper:43
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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. 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.
    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.
    4. Georg Nöldeke & Thomas Tröger, 2004. "On the Existence of Linear Equilibria in the Rochet-Vila Model of Market Making," Bonn Econ Discussion Papers bgse19_2004, University of Bonn, Germany.
    5. 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.
    6. Kyle, Albert S, 1985. "Continuous Auctions and Insider Trading," Econometrica, Econometric Society, vol. 53(6), pages 1315-1335, November.
    7. 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.
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    More about this item

    Keywords

    Market Microstructure; Kyle Model; Linear;

    JEL classification:

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

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