In this paper we consider a network of Boolean agents that compete for a limited resource. The agents play the so called generalized minority game where the capacity level is allowed to vary externally. We study the properties of such a system for different values of the mean connectivity K of the network, and show that the system with $K=2\mathrm{}$ shows a high degree of coordination for relatively large variations of the capacity level.

• Received 17 December 2001

DOI:https://doi.org/10.1103/PhysRevE.66.015103