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A characterization of the distributions that imply existence of linear equilibria in the Kyle-model

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  • Georg Nöldeke
  • Thomas Tröger

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.
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Suggested Citation

  • Georg Nöldeke & Thomas Tröger, 2006. "A characterization of the distributions that imply existence of linear equilibria in the Kyle-model," Annals of Finance, Springer, vol. 2(1), pages 73-85, January.
    • Handle: RePEc:kap:annfin:v:2:y:2006:i:1:p:73-85
    DOI: 10.1007/s10436-005-0024-9
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    References listed on IDEAS

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    1. 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.
    2. Jean-Charles Rochet & Jean-Luc Vila, 1994. "Insider Trading without Normality," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 61(1), pages 131-152.
    3. 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).
    4. 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.
    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. Foster, F Douglas & Viswanathan, S, 1993. "The Effect of Public Information and Competition on Trading Volume and Price Volatility," The Review of Financial Studies, Society for Financial Studies, vol. 6(1), pages 23-56.
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    More about this item

    Keywords

    Market microstructure; Kyle- model; Linear equilibria; Elliptical distributions; G14; D82;
    All these keywords.

    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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