Julia Poncela-Casasnovas
Postdoctoral Fellow
Department of Chemical & Biological Engineering
2145 Sheridan Road (Room E136)
Evanston, IL 60208-4057, US
Phone:
+1 847-491-7231Cooperation in the Prisoner's Dilemma in random scale-free graphs
INT. JOURNAL OF BIFURCATION & CHAOS 20, 849 (2010)
Times cited: 11
Abstract
We study the cooperative behavior of agents playing the Prisoner’s Dilemma game in
random scale-free networks.We show that the survival of cooperation is enhanced with respect to
random homogeneous graphs but, on the other hand, decreases when compared to that found in
Barab´asi–Albert scale-free networks.We show that the latter decrease is related to the structure
of cooperation. Additionally, we present a mean field approximation for studying evolutionary
dynamics in networks with no degree-degree correlations and with arbitrary degree distribution.
The mean field approach is similar to the one used for describing the disease spreading in complex
networks, making a further compartmentalization of the strategists partition into degree-classes.
We show that this kind of approximation is suitable to describe the behavior of the system for
a particular set of initial conditions, such as the placement of cooperators in the higher-degree
classes, while it fails to reproduce the level of cooperation observed in the numerical simulations
for arbitrary initial configurations.