IDEAS home Printed from https://ideas.repec.org/p/zbw/bonedp/192004.html
   My bibliography  Save this paper

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

Author

Listed:
  • Nöldeke, Georg
  • Tröger, Thomas

Abstract

This paper derives necessary and sufficient 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.

Suggested Citation

  • 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).
    • Handle: RePEc:zbw:bonedp:192004
    as

    Download full text from publisher

    File URL: https://www.econstor.eu/bitstream/10419/22896/1/bgse19_2004.pdf
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. 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.
    2. 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.
    3. 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.
    4. 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.
    5. 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.
    6. 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.
    7. Kyle, Albert S, 1985. "Continuous Auctions and Insider Trading," Econometrica, Econometric Society, vol. 53(6), pages 1315-1335, November.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. 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.
    2. Deimen, Inga & Szalay, Dezsö, 2014. "Smooth, strategic communication," VfS Annual Conference 2014 (Hamburg): Evidence-based Economic Policy 100333, Verein für Socialpolitik / German Economic Association.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. 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.
    2. Boulatov, Alex & Hatch, Brian C. & Johnson, Shane A. & Lei, Adam Y.C., 2009. "Dealer attention, the speed of quote adjustment to information, and net dealer revenue," Journal of Banking & Finance, Elsevier, vol. 33(8), pages 1531-1542, August.
    3. Muendler, Marc-Andreas, 2008. "Risk-neutral investors do not acquire information," Finance Research Letters, Elsevier, vol. 5(3), pages 156-161, September.
    4. George M. Mukupa & Elias R. Offen, 2018. "The semi-martingale equilibrium equity premium for risk-neutral investors," International Journal of Financial Engineering (IJFE), World Scientific Publishing Co. Pte. Ltd., vol. 5(04), pages 1-15, December.
    5. Banerjee, Snehal & Green, Brett, 2015. "Signal or noise? Uncertainty and learning about whether other traders are informed," Journal of Financial Economics, Elsevier, vol. 117(2), pages 398-423.
    6. Carré, Sylvain & Collin-Dufresne, Pierre & Gabriel, Franck, 2022. "Insider trading with penalties," Journal of Economic Theory, Elsevier, vol. 203(C).
    7. Biais, Bruno & Glosten, Larry & Spatt, Chester, 2005. "Market microstructure: A survey of microfoundations, empirical results, and policy implications," Journal of Financial Markets, Elsevier, vol. 8(2), pages 217-264, May.
    8. Chang, Sanders S. & Wang, F. Albert, 2015. "Adverse selection and the presence of informed trading," Journal of Empirical Finance, Elsevier, vol. 33(C), pages 19-33.
    9. Medrano, Luis Angel & Vives, Xavier, 2001. "Strategic Behavior and Price Discovery," RAND Journal of Economics, The RAND Corporation, vol. 32(2), pages 221-248, Summer.
    10. Chakrabarty, Bidisha & Cox, Justin & Upson, James E., 2022. "Tick Size Pilot Program and price discovery in U.S. stock markets," Journal of Financial Markets, Elsevier, vol. 59(PB).
    11. Andres, Christian & Cumming, Douglas & Karabiber, Timur & Schweizer, Denis, 2014. "Do markets anticipate capital structure decisions? — Feedback effects in equity liquidity," Journal of Corporate Finance, Elsevier, vol. 27(C), pages 133-156.
    12. Lee, Yi-Tsung & Lin, Ji-Chai & Liu, Yu-Jane, 1999. "Trading patterns of big versus small players in an emerging market: An empirical analysis," Journal of Banking & Finance, Elsevier, vol. 23(5), pages 701-725, May.
    13. Corò, Filippo & Dufour, Alfonso & Varotto, Simone, 2013. "Credit and liquidity components of corporate CDS spreads," Journal of Banking & Finance, Elsevier, vol. 37(12), pages 5511-5525.
    14. Lepone, Andrew & Yang, Jin Young, 2013. "Informational role of market makers: The case of exchange traded CFDs," Journal of Empirical Finance, Elsevier, vol. 23(C), pages 84-92.
    15. Meihui Guo & Yi-Ting Guo & Chi-Jeng Wang & Liang-Ching Lin, 2015. "Assessing influential trade effects via high-frequency market reactions," Journal of Applied Statistics, Taylor & Francis Journals, vol. 42(7), pages 1458-1471, July.
    16. Daher, Wassim & Mirman, Leonard J., 2006. "Cournot duopoly and insider trading with two insiders," The Quarterly Review of Economics and Finance, Elsevier, vol. 46(4), pages 530-551, September.
    17. Bondarenko, Oleg, 2001. "Competing market makers, liquidity provision, and bid-ask spreads," Journal of Financial Markets, Elsevier, vol. 4(3), pages 269-308, June.
    18. Iraklis Kollias & John Leventides & Vassilios G. Papavassiliou, 2024. "On the solution of games with arbitrary payoffs: An application to an over‐the‐counter financial market," International Journal of Finance & Economics, John Wiley & Sons, Ltd., vol. 29(2), pages 1877-1895, April.
    19. Pascual, Roberto, 1999. "How does liquidity behave? A multidimensional analysis of NYSE stocks," DEE - Working Papers. Business Economics. WB 6433, Universidad Carlos III de Madrid. Departamento de Economía de la Empresa.
    20. Gregory Bauer & Clara Vega, 2004. "The Monetary Origins of Asymmetric Information in International Equity Markets," Staff Working Papers 04-47, Bank of Canada.

    More about this item

    Keywords

    Market Microstructure; Market Making; Linear Equilibria;
    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

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:zbw:bonedp:192004. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: ZBW - Leibniz Information Centre for Economics (email available below). General contact details of provider: https://edirc.repec.org/data/gsbonde.html .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.