Abstract:We discuss various limits of a simple random exchange model that can be used for the distribution of wealth. We start from a discrete state space -discrete time version of this model and, under suitable scaling, we show its functional convergence to a continuous space -discrete time model. Then, we show a thermodynamic limit of the empirical distribution to the solution of a kinetic equation of Boltzmann type. We solve this equation and we show that the solutions coincide with the appropriate limits of the inv… Show more
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