4.7 Article

Inelastically scattering particles and wealth distribution in an open economy

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PHYSICAL REVIEW E
卷 69, 期 4, 页码 -

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AMER PHYSICAL SOC
DOI: 10.1103/PhysRevE.69.046102

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Using the analogy with inelastic granular gases we introduce a model for wealth exchange in society. The dynamics is governed by a kinetic equation, which allows for self-similar solutions. The scaling function has a power-law tail, the exponent being given by a transcendental equation. In the limit of continuous trading, a closed form of the wealth distribution is calculated analytically.

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