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arXiv · 1309.3916

Duality and stationary distributions of wealth distribution models

Pasquale Cirillo·Frank Redig·Wioletta Ruszel
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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".

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Pasquale Cirillo, Frank Redig, Wioletta Ruszel. 2013-12-02. Duality and stationary distributions of wealth distribution models. https://doi.org/10.1088/1751-8113%2F47%2F8%2F085203

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