Entropy description of a cooperation－competition system

Understanding the cooperation--competition dynamics is a long-standing challenge in studying complex systems. Inspired by the idea of Shannon entropy, we define competition information entropy and propose an entropy evolution model. The analytic results of the model of the relation between competition gain distribution parameters and entropy, as well as the relation between entropy and time are compared with empirical results obtained in 14 real world systems. They are found to be in good agreement with each other.