Statistical mechanics of the majority game

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.

14 pages, 9 figures, jpa style

References in corpus (3)

• Generating Functional Analysis of the Dynamics of the Batch Minority Game with Random External Information
• Continuum time limit and stationary states of the Minority Game
• Statistical mechanics of the mixed majority-minority game with random external information

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• Statistical Mechanics of Dilute Batch Minority Games with Random External Information