Istituto dei materiali per l'elettronica ed il magnetismo     
Garibaldi U., Scalas E., Viarengo P. Statistical equilibrium in simple exchange games II. The redistribution game. In: European Physical Journal B, vol. 60 (2) pp. 241 - 246. Springer Berlin / Heidelberg, 2007.
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.
Vedi abstract in inglese.
URL: http://10.1140/epjb/e2007-00338-5
DOI: 10.1140/epjb/e2007-00338-5
Subject Mechanics
05.40.-a Fluctuation phenomena, random processes, noise, and Brownian motion
89.65.Gh Economics; econophysics, financial markets, business and management
02.50.Cw Probability theory
05.60.-k Transport processes

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