Garibaldi, U, Scalas, E and Viarengo, P (2007) Statistical equilibrium in simple exchange games II. The redistribution game. European Physical Journal B: Condensed Matter and Complex Systems, 60 (2). pp. 241-246. ISSN 1434-6028

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Abstract

We propose a simple stochastic exchange game mimicking taxation and redistribution. There are g agents and n coins; taxation is modeled by randomly extracting some coins; then, these coins are redistributed to agents following Polya's scheme. The individual wealth equilibrium distribution for the resulting Markov chain is the multivariate symmetric Polya distribution. In the continuum limit, the wealth distribution converges to a Gamma distribution, whose form factor is just the initial redistribution weight. The relationship between this taxation-and-redistribution scheme and other simple conservative stochastic exchange games (such as the BDY game) is discussed.

Item Type:	Article
Schools and Departments:	School of Mathematical and Physical Sciences > Mathematics
Subjects:	Q Science > QA Mathematics > QA0273 Probabilities. Mathematical statistics
Depositing User:	Enrico Scalas
Date Deposited:	29 Sep 2014 10:51
Last Modified:	29 Sep 2014 10:51
URI:	http://sro.sussex.ac.uk/id/eprint/50270

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