TY - JOUR
T1 - Statistical equilibrium in simple exchange games I
T2 - Methods of solution and application to the Bennati-Dragulescu-Yakovenko (BDY) game
AU - Scalas, E.
AU - Garibaldi, U.
AU - Donadio, S.
PY - 2006/9
Y1 - 2006/9
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=33750059742&partnerID=8YFLogxK
U2 - 10.1140/epjb/e2006-00355-x
DO - 10.1140/epjb/e2006-00355-x
M3 - Article
SN - 1434-6028
VL - 53
SP - 267
EP - 272
JO - European Physical Journal B
JF - European Physical Journal B
IS - 2
ER -