Over-populated tails for conservative-in-the-mean inelastic Maxwell models

We introduce and discuss a kinetic model for wealth distribution in a simple market economy which is built of a number of countries or social groups. Our approach is based on the model with risky investments introduced by Cordier, Pareschi and Toscani and borrows ideas from the kinetic theory of mixtures of rare¯ed gases. Wealth is exchanged by individuals inside these countries (domestic trade) as well as in between different countries (international trade). Under a suitable scaling we derive a system of Fokker-Planck type equations. Numerical examples illustrate the in°uence of di®erent model parameters.