The impact of randomness on the distribution of wealth: Some economic aspects of the Wright-Fisher diffusion process
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1 août 2017
- handle: 10670/1.kt8sce
- hal: hal-01138383
- doi: 10.1016/j.physa.2017.03.017
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info:eu-repo/semantics/altIdentifier/doi/10.1016/j.physa.2017.03.017
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Amusements Fortunes Riches Affluence Distribution of wealth Children--Recreation Games for children Pastimes Primitive games Recreations Games, Primitive Children's games Gases--Diffusion Liquids--Diffusion broadcastingCiter ce document
Nicolas Bouleau et al., « The impact of randomness on the distribution of wealth: Some economic aspects of the Wright-Fisher diffusion process », HAL-SHS : économie et finance, ID : 10.1016/j.physa.2017.03.017
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Résumé
In this paper we consider some elementary and fair zero-sum games of chance to study the impact of random effects on the wealth distribution of N interacting players. Even if an exhaustive analytical study of such games between many players may be tricky, numerical experiments highlightinteresting asymptotic properties. From a mathematical perspective, we interestingly recover for small and high-frequency transactions some diffusion limits extensively used in population genetics. Finally, the impact of small tax rates on the preceding dynamics is discussed for several regulation mechanisms.