Dynamical Trading Mechanism in Limit Order Markets
This work's purpose is to understand the dynamics of limit order books in order-driven markets. We try to illustrate a dynamical trading mechanism attached to the microstructure of limit order markets. We capture the iterative nature of trading processes, which is critical in the dynamics of bid-ask pairs and the switching laws between different traders' types and their orders. In general, after introducing the atomic trading scheme, we study a general iterated trading process in both combinatorial and stochastic ways, and state a few results on the stability of a dynamical trading system. We also study the controlled dynamics of the spread and the mid-price in an iterated trading system, when their movements, generated from the dynamics of bid-ask pairs, are assumed to be restricted within some extremely small ranges.
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- Lawrence R. Glosten & Paul R. Milgrom, 1983.
"Bid, Ask and Transaction Prices in a Specialist Market with Heterogeneously Informed Traders,"
570, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
- 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.
- Parlour, Christine A, 1998. "Price Dynamics in Limit Order Markets," Review of Financial Studies, Society for Financial Studies, vol. 11(4), pages 789-816.
- FOUCAULT, Thierry & KADAN, Ohad & KANDEL, Eugene, 2001.
"Limit order book as a market for liquidity,"
Les Cahiers de Recherche
728, HEC Paris.
- Foucault, Thierry & Kadan, Ohad & Kandel, Eugene, 2001. "Limit Order Book as a Market for Liquidity," CEPR Discussion Papers 2889, C.E.P.R. Discussion Papers.
- Thierry Foucault & Ohad Kadan & Eugene Kandel, 2003. "Limit Order Book as a Market for Liquidity," Discussion Paper Series dp321, The Federmann Center for the Study of Rationality, the Hebrew University, Jerusalem.
- Thierry Foucault & Ohad Kadan & Eugene Kandel, 2005. "Limit Order Book as a Market for Liquidity," Post-Print hal-00459785, HAL.
- Thierry Foucault & Ohad Kadan & Eugene Kandel, 2005. "Limit Order Book as a Market for Liquidity," Post-Print halshs-00005043, HAL.
- Thierry Foucault & Ohad Kadan & Eugene Kandel, 2011. "Limit Order Book as a Market for Liquidity," Working Papers hal-00597190, HAL.
- Eric Smith & J Doyne Farmer & Laszlo Gillemot & Supriya Krishnamurthy, 2003.
"Statistical theory of the continuous double auction,"
Taylor & Francis Journals, vol. 3(6), pages 481-514.
- Eric Smith & J. Doyne Farmer & Laszlo Gillemot & Supriya Krishnamurthy, 2002. "Statistical theory of the continuous double auction," Papers cond-mat/0210475, arXiv.org.
- Bruce N. Lehmann and David M. Modest., 1994. "Trading and Liquidity on the Tokyo Stock Exchange: A Bird's Eye View," Research Program in Finance Working Papers RPF-234, University of California at Berkeley.
- Kyle, Albert S, 1985. "Continuous Auctions and Insider Trading," Econometrica, Econometric Society, vol. 53(6), pages 1315-35, November.
- Lehmann, Bruce N & Modest, David M, 1994. " Trading and Liquidity on the Tokyo Stock Exchange: A Bird's Eye View," Journal of Finance, American Finance Association, vol. 49(3), pages 951-84, July.
- Harris, Lawrence & Hasbrouck, Joel, 1996. "Market vs. Limit Orders: The SuperDOT Evidence on Order Submission Strategy," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 31(02), pages 213-231, June.
- 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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