Generic features of the wealth distribution in ideal-gas-like markets

Details Generic features of the wealth distribution in ideal-gas-like markets Generic features of the wealth distribution in ideal-gas-like markets

2006-03-17

arxiv.org/abs/physics/0603141v2

Phys. Rev. E 74, 011117 (2006)

Physics

Physics and Society

5 pages, 3 eps figures

Scientific paper

10.1103/PhysRevE.74.011117

We provide an exact solution to the ideal-gas-like models studied in econophysics to understand the microscopic origin of Pareto-law. In these class of models the key ingredient necessary for having a self-organized scale-free steady-state distribution is the trading or collision rule where agents or particles save a definite fraction of their wealth or energy and invests the rest for trading. Using a Gibbs ensemble approach we could obtain the exact distribution of wealth in this model. Moreover we show that in this model (a) good savers are always rich and (b) every agent poor or rich invests the same amount for trading. Nonlinear trading rules could alter the generic scenario observed here.

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