On the Existence of Linear Equilibria in the Rochet-Vila Model of Market Making

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On the Existence of Linear Equilibria in the Rochet-Vila Model of Market Making

Author Info

Georg Nöldeke
Thomas Tröger

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Abstract

This paper derives necessary and sucient conditions for the existence of linear equilibria in the Rochet-Vila model of market making. In contrast to most previous work on the existence of linear equilibria in models of market making, we do not impose independence of the underlying random variables. For distributions that are determined by their moments we show that a linear equilibrium exists if and only if the joint distribution of noise trade and asset payoff is elliptical.

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Publisher Info
Paper provided by University of Bonn, Germany in its series Bonn Econ Discussion Papers with number bgse19_2004.

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Length: 18
Date of creation: Oct 2004
Date of revision:
Handle: RePEc:bon:bonedp:bgse19_2004

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Postal: Bonn Graduate School of Economics, University of Bonn, Adenauerallee 24 - 26, 53113 Bonn, Germany
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Web page: http://www.bgse.uni-bonn.de/index.php?id=494

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Find related papers by JEL classification:
G14 - Financial Economics - - General Financial Markets - - - Information and Market Efficiency; Event Studies
D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information

This paper has been announced in the following NEP Reports:

NEP-ALL-2005-01-16 (All new papers)
NEP-FMK-2005-01-16 (Financial Markets)
NEP-MIC-2005-01-16 (Microeconomics)

References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:

Rochet, Jean-Charles & Vila, Jean-Luc, 1994. "Insider Trading without Normality," Review of Economic Studies, Blackwell Publishing, vol. 61(1), pages 131-52, January. [Downloadable!] (restricted)
Other versions:
- Rochet, J.C. & Vila, J.L., 1993. "Insider Trading Without Normality," Papers 93.b, Toulouse - GREMAQ.
Glosten, Lawrence R. & Milgrom, Paul R., 1985. "Bid, ask and transaction prices in a specialist market with heterogeneously informed traders," Journal of Financial Economics, Elsevier, vol. 14(1), pages 71-100, March. [Downloadable!] (restricted)
Other versions:
- Lawrence R. Glosten & Paul R. Milgrom, 1983. "Bid, Ask and Transaction Prices in a Specialist Market with Heterogeneously Informed Traders," Discussion Papers 570, Northwestern University, Center for Mathematical Studies in Economics and Management Science. [Downloadable!]
Foster, F Douglas & Viswanathan, S, 1993. "The Effect of Public Information and Competition on Trading Volume and Price Volatility," Review of Financial Studies, Oxford University Press for Society for Financial Studies, vol. 6(1), pages 23-56. [Downloadable!] (restricted)
Kyle, Albert S, 1985. "Continuous Auctions and Insider Trading," Econometrica, Econometric Society, vol. 53(6), pages 1315-35, November. [Downloadable!] (restricted)
Georg Nöldeke & Thomas Tröger, 2001. "Existence of Linear Equilibria in the Kyle Model with Multiple Informed Traders," Bonn Econ Discussion Papers bgse1_2001, University of Bonn, Germany. [Downloadable!]
Other versions:
- 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. [Downloadable!] (restricted)
Easley, David & O'Hara, Maureen, 1987. "Price, trade size, and information in securities markets," Journal of Financial Economics, Elsevier, vol. 19(1), pages 69-90, September. [Downloadable!] (restricted)
Mark Bagnoli & S. Viswanathan & Craig Holden, 2001. "On the Existence of Linear Equilibria in Models of Market Making," Mathematical Finance, Blackwell Publishing, vol. 11(1), pages 1-31. [Downloadable!] (restricted)

Full references

Cited by:
(explanations, Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.)

Georg Nöldeke & Thomas Tröger, 2005. "A Characterization of the Distributions That Imply Existence of Linear Equilbria in the Kyle-Model," Bonn Econ Discussion Papers bgse9_2005, University of Bonn, Germany. [Downloadable!]
Other versions:
- Georg Nöldeke & Thomas Tröger, 2005. "A Characterization of the Distributions That Imply Existence of Linear Equilibria in the Kyle-Model," Discussion Papers 43, SFB/TR 15 Governance and the Efficiency of Economic Systems, Free University of Berlin, Humboldt University of Berlin, University of Bonn, University of Mannheim, University of Munich. [Downloadable!]
- 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. [Downloadable!] (restricted)

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