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Analyzing money distributions in `ideal gas' models of markets

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  • Arnab Chatterjee
  • Bikas K. Chakrabarti
  • Robin B. Stinchcombe

Abstract

We analyze an ideal gas like models of a trading market. We propose a new fit for the money distribution in the fixed or uniform saving market. For the marketwith quenched random saving factors for its agents we show that the steady state income ($m$) distribution $P(m)$ in the model has a power law tail with Pareto index $\nu$ exactly equal to unity, confirming the earlier numerical studies on this model. We analyze the distribution of mutual money difference and also develop a master equation for the time development of $P(m)$. Precise solutions are then obtained in some special cases.

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  • Arnab Chatterjee & Bikas K. Chakrabarti & Robin B. Stinchcombe, 2005. "Analyzing money distributions in `ideal gas' models of markets," Papers physics/0505047, arXiv.org.
    • Handle: RePEc:arx:papers:physics/0505047
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    Cited by:

    1. John Angle, 2007. "The Macro Model of the Inequality Process and The Surging Relative Frequency of Large Wage Incomes," Papers 0705.3430, arXiv.org.
    2. Arnab Chatterjee & Bikas K Chakrabarti, 2005. "Ideal-Gas Like Markets: Effect of Savings," Papers physics/0507136, arXiv.org, revised Jul 2005.

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