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 evo...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.展开更多
We discuss the dependence of competition ability on uniqueness for the general cooperation-competition networks.An empirical investigation of the 15 real world systems is made.We find that the dependence varies with t...We discuss the dependence of competition ability on uniqueness for the general cooperation-competition networks.An empirical investigation of the 15 real world systems is made.We find that the dependence varies with the change of systems.Although most of the systems show positive tendency,we find that a special system shows negative one.The relationship between the heterogeneity indexes for the distributions of competition ability and uniqueness is also discussed analytically and empirically.展开更多
基金Project supported by the National Natural Science Foundation of China (Grant Nos.10635040 and 70671089)
文摘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.
基金Supported by the National Natural Science Foundation of China under Grant Nos 10635040,70671089 and 10705023.
文摘We discuss the dependence of competition ability on uniqueness for the general cooperation-competition networks.An empirical investigation of the 15 real world systems is made.We find that the dependence varies with the change of systems.Although most of the systems show positive tendency,we find that a special system shows negative one.The relationship between the heterogeneity indexes for the distributions of competition ability and uniqueness is also discussed analytically and empirically.
