Duality and stationary distributions of wealth distribution models
Probability
2014-03-05 v3 Mathematical Physics
math.MP
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".
Keywords
Cite
@article{arxiv.1309.3916,
title = {Duality and stationary distributions of wealth distribution models},
author = {Pasquale Cirillo and Frank Redig and Wioletta Ruszel},
journal= {arXiv preprint arXiv:1309.3916},
year = {2014}
}
Comments
18 pages