We review the statistical mechanics approach to the study of the emerging collective
behaviour of systems of heterogeneous interacting agents. The general framework is …

Minority games are simple mathematical models initially designed to understand the co-
operative phenomena observed in markets. Their core ingredients are large numbers of …

The study of systems of heterogeneous adaptive agents through minority games
(MGs)(Arthur 1994, Challet and Zhang 1997) has attracted much interest from statistical …

We present analytic and numerical results for two models, namely the minority model and
the bar-attendance model, which offer simple paradigms for a competitive marketplace. Both …

The Minority Game is a simple model for the collective behavior of agents in an idealized
situation where they have to compete through adaptation for a finite resource. This review …

We study the asymptotic macroscopic properties of the mixed majority–minority game,
modelling a population in which two types of heterogeneous adaptive agents, namely' …

New continuous and stochastic extensions of the minority game, devised as a fundamental
model for a market of competitive agents, are introduced and studied in the context of …

We present a dynamical theory of a multi-agent market game, the so-called Minority Game
(MG), based on crowds and anticrowds. The time-averaged version of the dynamical …

We discuss a simple version of the minority game (MG) in which agents hold only one
strategy each, but in which their capitals evolve dynamically according to their success and …

We formulate a theory of agent-based models in which agents compete to be in a winning
group. The agents may be part of a network or not, and the winning group may be a minority …