Statistical mechanics of the majority game
统计力学
2026-04-08 v1 无序系统与神经网络
摘要
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.
引用
@article{arxiv.cond-mat/0307173,
title = {Statistical mechanics of the majority game},
author = {P. Kozlowski and M. Marsili},
journal= {arXiv preprint arXiv:cond-mat/0307173},
year = {2026}
}
备注
14 pages, 9 figures, jpa style