Analysis of a Model for Wealth Redistribution
نویسندگان
چکیده
This paper provides a detailed analytical investigation of a kinetic model for the redistribution of wealth in a simple economy, which was proposed by Chakrabarti, Chatterjee and Manna. Estimates on the rate of convergence towards the steady state are derived, both for the finite-agent model, found in Monte-Carlo simulations, and the continuous model, corresponding to a homogeneous Boltzmann equation. We find that arbitrary Pareto tails with index ν > 1 appear as stationary wealth distribution for a suitable choice of the model parameters. These steady states are always approached in the long-time limit at a sub-exponential rate.
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