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Statistical mechanics of systems with heterogeneous agents: Minority Games

D. Challet·M. Marsili·R. Zecchina
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Abstract

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 analytic findings.

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D. Challet, M. Marsili, R. Zecchina. 1999-11-29. Statistical mechanics of systems with heterogeneous agents: Minority Games. https://doi.org/10.1103/physrevlett.84.1824

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