Research Article
Evolutionary Game in a Single Hub Structure
@INPROCEEDINGS{10.1007/978-3-642-02469-6_39, author={Xiaolan Qian and Junzhong Yang}, title={Evolutionary Game in a Single Hub Structure}, proceedings={Complex Sciences. First International Conference, Complex 2009, Shanghai, China, February 23-25, 2009, Revised Papers, Part 2}, proceedings_a={COMPLEX PART 2}, year={2012}, month={5}, keywords={evolutionary game theory structured population single-hub structure spatial replicator equation}, doi={10.1007/978-3-642-02469-6_39} }- Xiaolan Qian
Junzhong Yang
Year: 2012
Evolutionary Game in a Single Hub Structure
COMPLEX PART 2
Springer
DOI: 10.1007/978-3-642-02469-6_39
Abstract
In this paper, we investigate the evolutionary game theory on a simplest heterogeneous network-a single hub structure. In order to describe the dynamics on structured populations, we firstly give a general form of a spatial replicator equation. Then according to it, the evolutionary equations describing the evolution of two strategies (cooperation and defection) are derived explicitly and the dynamics of the system is discussed theoretically and numerically. We found if judging the strategy according to its ability to resist the invasion of another, the cooperation does better than the defection. In some parameters when the population is small, an initial D-hub system may evolve to an all-cooperator (AllC) state. All of these phenomena can be well explained by corresponding replicator equation.
