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Analytic treatment of a trading market model

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  • Arnab Das
  • Sudhakar Yarlagadda

Abstract

We mathematically analyze a simple market model where trading at each point in time involves only two agents with the sum of their money being conserved and with neither parties resulting with negative money after the interaction process. The exchange involves random re-distribution among the two players of a fixed fraction of their total money. We obtain a simple integral nonlinear equation for the money distribution. We find that the zero savings and finite savings cases belong to different universality classes. While the zero savings case can be solved analytically, the finite savings solution is obtained by numerically solving the integral equation. We find remarkable agreement with results obtained by other researchers using sophisticated numerical techniques.

Suggested Citation

  • Arnab Das & Sudhakar Yarlagadda, 2003. "Analytic treatment of a trading market model," Papers cond-mat/0304685, arXiv.org.
    • Handle: RePEc:arx:papers:cond-mat/0304685
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    Cited by:

    1. Marcel Ausloos, 2013. "Econophysics: Comments on a Few Applications, Successes, Methods and Models," IIM Kozhikode Society & Management Review, , vol. 2(2), pages 101-115, July.
    2. Ausloos, Marcel & Pe¸kalski, Andrzej, 2007. "Model of wealth and goods dynamics in a closed market," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 373(C), pages 560-568.

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