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Statistical theory of the continuous double auction

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  • Eric Smith
  • J. Doyne Farmer
  • Laszlo Gillemot
  • Supriya Krishnamurthy

Abstract

Most modern financial markets use a continuous double auction mechanism to store and match orders and facilitate trading. In this paper we develop a microscopic dynamical statistical model for the continuous double auction under the assumption of IID random order flow, and analyze it using simulation, dimensional analysis, and theoretical tools based on mean field approximations. The model makes testable predictions for basic properties of markets, such as price volatility, the depth of stored supply and demand vs. price, the bid-ask spread, the price impact function, and the time and probability of filling orders. These predictions are based on properties of order flow and the limit order book, such as share volume of market and limit orders, cancellations, typical order size, and tick size. Because these quantities can all be measured directly there are no free parameters. We show that the order size, which can be cast as a nondimensional granularity parameter, is in most cases a more significant determinant of market behavior than tick size. We also provide an explanation for the observed highly concave nature of the price impact function. On a broader level, this work suggests how stochastic models based on zero-intelligence agents may be useful to probe the structure of market institutions. Like the model of perfect rationality, a stochastic-zero intelligence model can be used to make strong predictions based on a compact set of assumptions, even if these assumptions are not fully believable.

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Paper provided by arXiv.org in its series Papers with number cond-mat/0210475.

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Date of creation: Oct 2002
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Handle: RePEc:arx:papers:cond-mat/0210475

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  1. anonymous, 1992. "Interview with Milton Friedman," The Region, Federal Reserve Bank of Minneapolis, issue June.
  2. Anonymous, 1992. "Book Reviews," Australian Journal of Agricultural Economics, Australian Agricultural and Resource Economics Society, vol. 36(03), December.
  3. Bollerslev, Tim & Domowitz, Ian & Wang, Jianxin, 1997. "Order flow and the bid-ask spread: An empirical probability model of screen-based trading," Journal of Economic Dynamics and Control, Elsevier, vol. 21(8-9), pages 1471-1491, June.
  4. Anonymous, 1992. "Honorary Life Member Award," Northeastern Journal of Agricultural and Resource Economics, Northeastern Agricultural and Resource Economics Association, vol. 21(2), October.
  5. Anonymous, 1992. "Book Reviews," Review of Marketing and Agricultural Economics, Australian Agricultural and Resource Economics Society, vol. 60(02), August.
  6. Damien Challet & Robin Stinchcombe, 2001. "Analyzing and modelling 1+1d markets," Papers cond-mat/0106114, arXiv.org, revised Jun 2001.
  7. Anonymous, 1992. "Book Reviews," Australian Journal of Agricultural Economics, Australian Agricultural and Resource Economics Society, vol. 36(02), August.
  8. anonymous, 1992. "Interview with Gyo Obata," The Region, Federal Reserve Bank of Minneapolis, issue Sep.
  9. Gode, Dhananjay K & Sunder, Shyam, 1993. "Allocative Efficiency of Markets with Zero-Intelligence Traders: Market as a Partial Substitute for Individual Rationality," Journal of Political Economy, University of Chicago Press, vol. 101(1), pages 119-37, February.
  10. anonymous, 1992. "Interview with Paul A. Volcker," The Region, Federal Reserve Bank of Minneapolis, issue Dec.
  11. Unknown, 1992. "Newsletter Fall 1992," Institute on Global Conflict and Cooperation, Working Paper Series qt9b58d3pn, Institute on Global Conflict and Cooperation, University of California.
  12. Vasiliki Plerou & Parameswaran Gopikrishnan & Xavier Gabaix & H. Eugene Stanley, 2001. "Quantifying Stock Price Response to Demand Fluctuations," Papers cond-mat/0106657, arXiv.org.
  13. Bak, P. & Paczuski, M. & Shubik, M., 1997. "Price variations in a stock market with many agents," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 246(3), pages 430-453.
  14. David Eliezer & Ian I. Kogan, 1998. "Scaling Laws for the Market Microstructure of the Interdealer Broker Markets," Papers cond-mat/9808240, arXiv.org, revised Sep 1998.
  15. Anonymous, 1992. "Book Reviews," Journal of Agricultural Cooperation, National Council of Farmer Cooperatives, vol. 7.
  16. Maslov, Sergei, 2000. "Simple model of a limit order-driven market," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 278(3), pages 571-578.
  17. Anonymous, 1992. "Book Reviews," Australian Journal of Agricultural Economics, Australian Agricultural and Resource Economics Society, vol. 36(01), April.
  18. J. Doyne Farmer & Paolo Patelli & Ilija I. Zovko, 2003. "The Predictive Power of Zero Intelligence in Financial Markets," Papers cond-mat/0309233, arXiv.org, revised Feb 2004.
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