Replica symmetry breaking in the minority game
| dc.creator | De Martino, Andrea | |
| dc.creator | Marsili, Matteo | |
| dc.date | 2000-07-25 | |
| dc.date | 2001-01-11 | |
| dc.date.accessioned | 2026-07-07T02:38:18Z | |
| dc.date.available | 2026-07-07T02:38:18Z | |
| dc.description | We extend and complete recent work concerning the analytic solution of the minority game. Nash equilibria (NE) of the game have been found to be related to the ground states of a disordered hamiltonian with replica symmetry breaking (RSB), signalling the presence of a large number of them. Here we study the number of NE both analytically and numerically. We then analyze the stability of the recently-obtained replica-symmetric (RS) solution and, in the region where it becomes unstable, derive the solution within one-step RSB approximation. We are finally able to draw a detailed phase diagram of the model. | |
| dc.description | Replaced with a revised version | |
| dc.identifier | https://arxiv.org/abs/cond-mat/0007397 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/0007397 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/16620 | |
| dc.subject | Disordered Systems and Neural Networks | |
| dc.subject | Statistical Mechanics | |
| dc.title | Replica symmetry breaking in the minority game | |
| dc.type | text |