Dynamics of strategy-based competition

Abstract

We investigate the dynamics of a system of N competing agents, whose objective is to maximize personal gain G by choosing the correct strategy T. Three modes of competition are analyzed: (i) unregulated competition, (ii) regulated competition, and (iii) adaptive competition. A system with unregulated competition results to the usual idea that agents belonging to the minority group tend to attain maximal gain. On the other hand, regulated competition optimizes the system's total gain showing that being a member of minority group is not necessarily favorable. Adaptive individuals either cluster towards a common best strategy or divide equally into two groups using different techniques.