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Phase transitions in the Prisoner's Dilemma game on the Barab\'asi-Albert graph with participation cost
Jacek Mi\c{e}kisz, Javad Mohamadichamgavi
https://arxiv.org/abs/2505.23370

Phase transitions in the Prisoner's Dilemma game on the Barabási-Albert graph with participation cost
We examine the impact of the maintenance cost of social links on cooperative behavior in the Prisoner's Dilemma game on the Barabási-Albert scale-free network with a pairwise stochastic imitation. We show by means of Monte Carlo simulations and pair approximation that the cooperation frequency changes abruptly from an almost full cooperation to a much smaller value when we increase the cost of maintaining links. In the critical region, the stationary distribution is bi-modal and the system osc…

This https://arxiv.org/abs/2306.06407 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_qbi…

Effect of the degree of an initial mutant in Moran processes in structured populations
We study the effect of the mutant's degree on the fixation probability, extinction and fixation times, in the Moran process on Erdös-Rényi and Barabási-Albert graphs. We performed stochastic simulations and use mean-field type approximations to obtain analytical formulas. We showed that the initial placement of a mutant has a significant impact on the fixation probability and extinction time, while it has no effect on the fixation time. In both types of graphs, an increase in the degree of a…