In many social and biological systems, agents compete for limited resources over an extended, connected network, but at any moment compete for resources semi-locally using incomplete, private information. To understand such systems, it is important to understand the nature of competition for...

In the standard minority game, each agent in the minority group receives the same payoff regardless of the size of the minority group. Of great interest for real social and biological systems are cases in which the payoffs to members of the minority group depend on the size of the minority...