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Statistical equilibrium in simple exchange games I: methods of solution and application to the Bennati-Dragulescu-Yakovenko (BDY) game
journal contribution
posted on 2023-06-08, 18:26 authored by Enrico Scalas, U Garibaldi, S DonadioSimple stochastic exchange games are based on random allocation of finite resources. These games are Markov chains that can be studied either analytically or by Monte Carlo simulations. In particular, the equilibrium distribution can be derived either by direct diagonalization of the transition matrix, or using the detailed balance equation, or by Monte Carlo estimates. In this paper, these methods are introduced and applied to the Bennati-Dragulescu-Yakovenko (BDY) game. The exact analysis shows that the statistical-mechanical analogies used in the previous literature have to be revised.
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Publication status
- Published
Journal
European Physical Journal B: Condensed Matter and Complex SystemsISSN
1434-6028Publisher
EDP SciencesExternal DOI
Issue
2Volume
53Page range
267-272Department affiliated with
- Mathematics Publications
Full text available
- No
Peer reviewed?
- Yes
Legacy Posted Date
2014-09-30Usage metrics
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