Statistical equilibrium in simple exchange games I: Methods of solution and application to the Bennati-Dragulescu-Yakovenko (BDY) game

E. Scalas, U. Garibaldi, S. Donadio

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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.

Lingua originaleInglese
pagine (da-a)267-272
Numero di pagine6
RivistaEuropean Physical Journal B
Volume53
Numero di pubblicazione2
DOI
Stato di pubblicazionePubblicato - set 2006
Pubblicato esternamente

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