Université de Fribourg

Modelling markets dynamics : minority games and beyond

Challet, Damien ; Zhang, Yi-Cheng (Dir.) ; Dacorogna, Michel (Codir.)

Thèse de doctorat : Université de Fribourg : 2000 ; no 1303.

Starting from the El Farol's bar problem, we introduce the minority game, an extremely simple model of competition between adaptive agents. We study its properties, and find that it displays a phase transition with symmetry breaking. An adequate mathematical formalism is introduced and reveals the spin glass nature of the model. We prove that available information is a Lyapunov function for this...