Statistical mechanics of systems with heterogeneous agents: minority games
We study analytically a simple game theoretical model of heterogeneous interacting agents. We show that the stationary state of the system is described by the ground state of a disordered spin model which is exactly solvable within the simple replica symmetric ansatz. Such a stationary state differs from the Nash equilibrium where each agent maximizes her own utility. The latter turns out to be characterized by a replica symmetry broken structure. Numerical results fully agree with our analytical findings.
Challet
D
Institut de Physique Theorique, Universite de Fribourg, CH-1700 Fribourg, Switzerland.
Marsili
M
Zecchina
R