On a kinetic model for a simple market economy - Archive ouverte HAL
Pré-Publication, Document De Travail Année : 2004

On a kinetic model for a simple market economy

Résumé

In this paper, we consider a simple kinetic model of economy involving both exchanges between agents and speculative trading. We show that the kinetic model admits non trivial quasi-stationary states with power law tails of Pareto type. In order to do this we consider a suitable asymptotic limit of the model yielding a Fokker-Planck equation for the distribution of wealth among individuals. For this equation the stationary state can be easily derived and shows a Pareto power law tail. Numerical results confirm the previous analysis.
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Dates et versions

hal-00003648 , version 1 (21-12-2004)

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Stéphane Cordier, Lorenzo Pareschi, Giuseppe Toscani. On a kinetic model for a simple market economy. 2004. ⟨hal-00003648⟩
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