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A stylized model for the continuous double auction

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Managing Market Complexity

Abstract

A stylized phenomenological model for the continuous double auction is introduced. This model is equivalent to two uncoupled M/M/1 queues. The conditions for statistical equilibrium (ergodicity) are derived. The results of Monte Carlo simulations are presented on the behaviour of price differences and log-returns.

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References

  1. Rama Cont and Adrien De Larrard (2011). Price Dynamics in a Markovian Limit Order Market. Working Paper Series 1735338, http://ssrn.com/abstract=1735338

  2. Rama Cont, Sasha Stojkov and Rishi Taireja (2008). A Stochastic Model for Order Book Dynamics. Working Paper Series 1273160, http://ssrn.com/abstract=1273160

  3. Ubaldo Garibaldi and Enrico Scalas (2010). Finitary Probabilistic Methods in Econophysics. Cambridge UK: Cambridge University Press.

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Correspondence to Tijana Radivojević .

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© 2012 Springer-Verlag Berlin Heidelberg

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Radivojević, T., Anselmi, J., Scalas, E. (2012). A stylized model for the continuous double auction. In: Teglio, A., Alfarano, S., Camacho-Cuena, E., Ginés-Vilar, M. (eds) Managing Market Complexity. Lecture Notes in Economics and Mathematical Systems, vol 662. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-31301-1_10

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  • DOI: https://doi.org/10.1007/978-3-642-31301-1_10

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-31300-4

  • Online ISBN: 978-3-642-31301-1

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