dorsal/arxiv
View SchemaStatistical equilibrium in simple exchange games I
| Authors | Enrico Scalas, Ubaldo Garibaldi, Stefania Donadio |
|---|---|
| Categories | |
| ArXiv ID | physics/0608215 |
| URL | https://arxiv.org/abs/physics/0608215 |
| DOI | 10.1140/epjb/e2007-00345-6 |
Abstract
Simple 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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"abstract": "Simple stochastic exchange games are based on random allocation of finite\nresources. These games are Markov chains that can be studied either\nanalytically or by Monte Carlo simulations. In particular, the equilibrium\ndistribution can be derived either by direct diagonalization of the transition\nmatrix, or using the detailed balance equation, or by Monte Carlo estimates. In\nthis paper, these methods are introduced and applied to the\nBennati-Dragulescu-Yakovenko (BDY) game. The exact analysis shows that the\nstatistical-mechanical analogies used in the previous literature have to be\nrevised.",
"arxiv_id": "physics/0608215",
"authors": [
"Enrico Scalas",
"Ubaldo Garibaldi",
"Stefania Donadio"
],
"categories": [
"physics.soc-ph",
"physics.data-an"
],
"doi": "10.1140/epjb/e2007-00345-6",
"title": "Statistical equilibrium in simple exchange games I",
"url": "https://arxiv.org/abs/physics/0608215"
},
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