The Structure and Evolution of Incomplete Competitive System Based on a Random Choice Mechanism
Under the presupposition of competition level keeping unchangeable, we construct a random evolution model of Incomplete Competitive System to explore its structure, nature and evolution behavior based on the random choice mechanism to competitors by mathematical analysis and numerical simulation, In this model, the death probability of node keeps a logarithm correlation with its original competence. System size may present three kinds of states: monotonic increase, stable, monotonic decrease, and it depends on the quitting threshold of system node and system competitive coefficient. The competence of node will decrease with an exponential or power speed, and in a long time, the competence distribution appears stable which is overlapped by a power law with -1 and original competence distribution. There is a power law or logarithmic correlation between nodes life and its original competence. The number of one nodes competitor will be monotonic increasing logarithmically before its death, and will be proportional to the logarithm of its age. Systems degree distribution obeys an exponential distribution approximately, and it doesnt depend on the original node competence distribution.
Incomplete Competitive System Random Choice Topological Structure System Evolution Degree Distribution
Huang Chuan-feng Zeng De-fan Chu Jun
School of Economics & Management Nan Jing Institute of Technology Nan Jing, China Computer Science Department Zao Zhuang University Zao Zhuang, China
国际会议
长沙
英文
3328-3331
2010-05-11（万方平台首次上网日期，不代表论文的发表时间）