A mathematical model for a gaming community

Romulus Breban

Papers from arXiv.org

Abstract: We consider a large community of individuals who mix strongly and meet in pairs to bet on a coin toss. We investigate the asset distribution of the players involved in this zero-sum repeated game. Our main result is that the asset distribution converges to the exponential distribution, irrespective of the size of the bet, as long as players can never go bankrupt. Analytical results suggests that the exponential distribution is a stable fixed point for this zero-sum repreated game. This is confirmed in numerical experiments.

Date: 2016-06
New Economics Papers: this item is included in nep-exp and nep-gth
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