Learning, competition and cooperation in simple games
Instituto de Ciencia de Materiales de Madrid, Consejo Superior de Investigaciones
Científicas, 28049 Madrid, Spain
Revised: 27 September 1999
Published online: 19 October 2012
The minority model was introduced to study the competition between agents with limited information. It has the remarkable feature that, as the number of strategies available to the agents increases, the collective gain made by the agents is reduced. This crowd effect arises from the fact that only a minority can profit at each moment, while all agents make their choices using the same input. We show that the properties of the model change drastically if the agents make choices based on their individual stories, keeping all remaining rules unaltered. This variation reduces the intrinsic frustration of the model, and improves the tendency towards cooperation and self organization. We finally study the stable mixing of individual and collective behavior.
PACS: 02.50.-r – Probability theory, stochastic processes, and statistics / 02.50.Ga – Markov processes / 05.40.-a – Fluctuation phenomena, random processes, and Brownian motion
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2000