Duality and stationary distributions of wealth distribution models
arXiv:1309.3916 · doi:10.1088/1751-8113/47/8/085203
Abstract
We analyze a class of energy and wealth redistribution models. We characterize their stationary measures and show that they have a discrete dual process. In particular we show that the wealth distribution model with non-zero propensity can never have invariant product measures. We also introduce diffusion processes associated to the wealth distribution models by "instantaneous thermalization".
18 pages