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Statistical mechanics of the majority game

P. Kozlowski·M. Marsili
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Abstract

The majority game, modelling a system of heterogeneous agents trying to behave in a similar way, is introduced and studied using methods of statistical mechanics. The stationary states of the game are given by the (local) minima of a particular Hopfield like hamiltonian. On the basis of a replica symmetric calculations, we draw the phase diagram, which contains the analog of a retrieval phase. The number of metastable states is estimated using the annealed approximation. The results are confronted with extensive numerical simulations.

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BibTeXRIS

P. Kozlowski, M. Marsili. 2003-07-08. Statistical mechanics of the majority game. https://doi.org/10.1088/0305-4470%2F36%2F47%2F002

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