Affiliation:
1. Department of Statistics, Shanghai Jiao Tong University, Shanghai 200240, P. R. China
Abstract
A generalized dynamically evolving random network and a game model taking place on the evolving network are presented. We show that there exists a high-dimensional critical curved surface of the parameters related the probabilities of adding or removing vertices or edges such that the evolving network may exhibit three kinds of degree distributions as the time goes to infinity when the parameters belong to the super-critical, critical and sub-critical curved surfaces, respectively. Some sufficient conditions are given for the existence of a regular Nash equilibrium which depends on the three kinds of degree distributions in the game model on the limiting random network.
Funder
National Natural Science Foundation of China
National Basic Research Program of China
Publisher
World Scientific Pub Co Pte Lt