Statistical mechanics of the majority game

Details Statistical mechanics of the majority game Statistical mechanics of the majority game

2003-07-08

arxiv.org/abs/cond-mat/0307173v1

Physics

Condensed Matter

Statistical Mechanics

14 pages, 9 figures, jpa style

Scientific paper

10.1088/0305-4470/36/47/002

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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