IDEAS home Printed from https://ideas.repec.org/p/qld/uq2004/492.html
   My bibliography  Save this paper

Price Manipulation, Dynamic Informed Trading and Tame Equilibria: Theory and Computation

Author

Abstract

This paper studies a dynamic version of the model proposed in Glosten and Milgrom (1985) with a long-lived informed trader. When the same individual can buy, and then sell, the same asset, the trader may profit from price manipulation. We make a fundamental contribution by clarifying the conditions under which a unique equilibrium exists, and in what situations this equilibrium involves price manipulation. We propose a concept that we refer to as a “tame†equilibrium, and derive a bound for the number of trading rounds under (or over) which a unique equilibrium exists (or multiple equilibria exist) for a sufficiently low probability of informed trading. We characterize and compute tame equilibria. Further, we provide a necessary and sufficient condition under which manipulation arises. We contend that we can extend our analysis to a continuous-time setting and thereby provide a reference framework in a discrete-time setting with a unique equilibrium.

Suggested Citation

  • Shino Takayama, 2013. "Price Manipulation, Dynamic Informed Trading and Tame Equilibria: Theory and Computation," Discussion Papers Series 492, School of Economics, University of Queensland, Australia.
  • Handle: RePEc:qld:uq2004:492
    as

    Download full text from publisher

    File URL: http://www.uq.edu.au/economics/abstract/492.pdf
    Download Restriction: no

    References listed on IDEAS

    as
    1. Jordan, Bradford D. & Jordan, Susan D., 1996. "Salomon brothers and the May 1991 Treasury auction: Analysis of a market corner," Journal of Banking & Finance, Elsevier, vol. 20(1), pages 25-40, January.
    2. Chakraborty, Archishman & Yilmaz, Bilge, 2004. "Informed manipulation," Journal of Economic Theory, Elsevier, vol. 114(1), pages 132-152, January.
    3. Duffie, Darrell, et al, 1994. "Stationary Markov Equilibria," Econometrica, Econometric Society, vol. 62(4), pages 745-781, July.
    4. De Meyer, Bernard, 2010. "Price dynamics on a stock market with asymmetric information," Games and Economic Behavior, Elsevier, vol. 69(1), pages 42-71, May.
    5. Robert A. Jarrow, 2008. "Market Manipulation, Bubbles, Corners, and Short Squeezes," World Scientific Book Chapters,in: Financial Derivatives Pricing Selected Works of Robert Jarrow, chapter 6, pages 105-130 World Scientific Publishing Co. Pte. Ltd..
    6. Markus K. Brunnermeier & Lasse Heje Pedersen, 2005. "Predatory Trading," Journal of Finance, American Finance Association, vol. 60(4), pages 1825-1863, August.
    7. Ozsoylev, Han N. & Takayama, Shino, 2010. "Price, trade size, and information revelation in multi-period securities markets," Journal of Financial Markets, Elsevier, vol. 13(1), pages 49-76, February.
    8. Koski, Jennifer Lynch & Michaely, Roni, 2000. "Prices, Liquidity, and the Information Content of Trades," Review of Financial Studies, Society for Financial Studies, vol. 13(3), pages 659-696.
    9. Vitale, Paolo, 2000. "Speculative noise trading and manipulation in the foreign exchange market," Journal of International Money and Finance, Elsevier, vol. 19(5), pages 689-712, October.
    10. Shino Takayama, 2010. "A dynamic strategy of the informed trader with market manipulation," Annals of Finance, Springer, vol. 6(2), pages 287-294, March.
    11. Allen, Franklin & Gorton, Gary, 1992. "Stock price manipulation, market microstructure and asymmetric information," European Economic Review, Elsevier, vol. 36(2-3), pages 624-630, April.
    12. Riccardo Calcagno & Stefano Lovo, 2006. "Bid-Ask Price Competition with Asymmetric Information between Market-Makers," Review of Economic Studies, Oxford University Press, vol. 73(2), pages 329-355.
    13. Bruno Biais & David Martimort & Jean-Charles Rochet, 2000. "Competing Mechanisms in a Common Value Environment," Econometrica, Econometric Society, vol. 68(4), pages 799-838, July.
    14. Allen, Franklin & Gale, Douglas, 1992. "Stock-Price Manipulation," Review of Financial Studies, Society for Financial Studies, vol. 5(3), pages 503-529.
    15. 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.
    16. Mikhail Golosov & Guido Lorenzoni & Aleh Tsyvinski, 2014. "Decentralized Trading With Private Information," Econometrica, Econometric Society, vol. 82(3), pages 1055-1091, May.
    17. Gur Huberman & Werner Stanzl, 2004. "Price Manipulation and Quasi-Arbitrage," Econometrica, Econometric Society, vol. 72(4), pages 1247-1275, July.
    18. Calcagno, Riccardo & Lovo, Stefano M., 1998. "Bid-Ask Price Competition with Asymmetric Information between Market Makers," Discussion Papers (IRES - Institut de Recherches Economiques et Sociales) 1998012, Université catholique de Louvain, Institut de Recherches Economiques et Sociales (IRES).
    19. Merrick, John Jr & Naik, Narayan Y. & Yadav, Pradeep K., 2005. "Strategic trading behavior and price distortion in a manipulated market: anatomy of a squeeze," Journal of Financial Economics, Elsevier, vol. 77(1), pages 171-218, July.
    20. Krinsky, Itzhak & Lee, Jason, 1996. " Earnings Announcements and the Components of the Bid-Ask Spread," Journal of Finance, American Finance Association, vol. 51(4), pages 1523-1535, September.
    21. Kyle, Albert S, 1985. "Continuous Auctions and Insider Trading," Econometrica, Econometric Society, vol. 53(6), pages 1315-1335, November.
    22. Pierre Collin-Dufresne & Vyacheslav Fos, 2012. "Insider Trading, Stochastic Liquidity and Equilibrium Prices," NBER Working Papers 18451, National Bureau of Economic Research, Inc.
    23. Felixson, Karl & Pelli, Anders, 1999. "Day end returns--stock price manipulation," Journal of Multinational Financial Management, Elsevier, vol. 9(2), pages 95-127, March.
    24. Back, Kerry, 1992. "Insider Trading in Continuous Time," Review of Financial Studies, Society for Financial Studies, vol. 5(3), pages 387-409.
    25. Tālis J. Putniņš, 2012. "Market Manipulation: A Survey," Journal of Economic Surveys, Wiley Blackwell, vol. 26(5), pages 952-967, December.
    26. I. Krinsky & J. Lee, 1996. "Earning Announcements and the Components of the Bid-Ask Aspread," Quantitative Studies in Economics and Population Research Reports 313, McMaster University.
    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. Mc Lennan, Andrew & Monteiro, P. K. & Tourky, Rabee, 2014. "On uniqueness of equilibrium in the Kyle Model," FGV/EPGE Economics Working Papers (Ensaios Economicos da EPGE) 761, FGV/EPGE - Escola Brasileira de Economia e Finanças, Getulio Vargas Foundation (Brazil).

    More about this item

    NEP fields

    This paper has been announced in the following NEP Reports:

    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:qld:uq2004:492. See general information about how to correct material in RePEc.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (SOE IT). General contact details of provider: http://edirc.repec.org/data/decuqau.html .

    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 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.

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

    IDEAS is a RePEc service hosted by the Research Division of the Federal Reserve Bank of St. Louis . RePEc uses bibliographic data supplied by the respective publishers.