Scalas, E, Garibaldi, U and Donadio, S (2006) Statistical equilibrium in simple exchange games I: methods of solution and application to the Bennati-Dragulescu-Yakovenko (BDY) game. European Physical Journal B: Condensed Matter and Complex Systems, 53 (2). pp. 267-272. ISSN 1434-6028

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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.

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:	30 Sep 2014 08:09
Last Modified:	30 Sep 2014 08:09
URI:	http://sro.sussex.ac.uk/id/eprint/50275

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