Interplay between evolutionary game and network structure
Year: 2006
Type: preprint
Abstract: We study the interplay between evolutionary game and network structure and show how the dynamics of the game affect the growth pattern of the network and how the evolution of the network influence the cooperative behavior in the game. Simulation results show that the payoff preferential attachment mechanism leads to the emergence of a scale-free structural property, $P(k)\\sim k^{-\\gamma}$, with the power-law exponent $\\gamma$ controlled by a model parameter. Moreover, we investigate the average path length and the assortative mixing features. The obtained results indicate that the network has small-world and positive assortative behaviors, which are consistent with the observations of some real social networks. In parallel, we found that the evolution of the underlying network structure remarkably promotes the cooperation level of the game. Furthermore, we provide detrended fluctuation analysis for the time series of cooperator density. Interestingly, we found $1/f$ scaling behavior, which suggests that a long-range correlation exists in the evolution of cooperation in the game.
Source: arXiv (Cornell University)
Language: English
Subfield: Sociology and Political Science
Field: Social Sciences
Domain: Social Sciences
Open Access status: green
OpenAlex ID: W2785575331