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Statistical equilibrium in simple exchange games II. The redistribution game
journal contribution
posted on 2023-06-08, 18:26 authored by U Garibaldi, Enrico Scalas, P ViarengoWe 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.
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Publication status
- Published
Journal
European Physical Journal B: Condensed Matter and Complex SystemsISSN
1434-6028Publisher
EDP SciencesExternal DOI
Issue
2Volume
60Page range
241-246Department affiliated with
- Mathematics Publications
Full text available
- No
Peer reviewed?
- Yes
Legacy Posted Date
2014-09-29Usage metrics
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