The interacting gaps model: Reconciling theoretical and numerical approaches to limit-order models

Lev Muchnik, Frantisek Slanina, Sorin Solomon*

*Corresponding author for this work

Research output: Contribution to journalConference articlepeer-review

4 Scopus citations

Abstract

We consider the emergence of power-law tails in the returns distribution of limit-order driven markets. We explain a previously observed clash between the theoretical and numerical studies of such models. We introduce a solvable model that interpolates between the previous studies and agrees with each of them in the relevant limit.

Original languageEnglish
Pages (from-to)232-239
Number of pages8
JournalPhysica A: Statistical Mechanics and its Applications
Volume330
Issue number1-2
DOIs
StatePublished - 1 Dec 2003
EventRandomes and Complexity - Eilat, Israel
Duration: 5 Jan 20039 Jan 2003

Bibliographical note

Funding Information:
This work was supported by the Grant Agency of the Czech Republic, project No. 202/01/1091. This research was supported in part by the Israeli Science Foundation.

Keywords

  • Econophysics
  • Limit order
  • Pareto
  • Power law
  • Zipf

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