Regensburg 2010 – wissenschaftliches Programm
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SOE: Fachverband Physik sozio-ökonomischer Systeme
SOE 6: Poster Session
SOE 6.3: Poster
Montag, 22. März 2010, 18:00–20:00, Poster C
Evolution of cooperation on dynamical networks: An analytical approach — •Bin Wu1,2, Arne Traulsen1, and Long Wang2 — 1Max Planck Institute for Evolutionary Biology, August-Thienemann-Str. 2, 24306 Plön, Germany — 2Center for Systems and Control, College of Engineering Peking University, Beijing 100871, China
We investigate how the dynamics of a social network can change the cooperativeness of agents in the network. We focus on the fragility of social tie, i.e. the probability to break a link, in the Prisoner*s Dilemma. Individuals either update their strategies by imitating their neighbors or break their social ties and establish new relationships. The pairwise comparison rule [1] is employed for the strategy evolution. For the linking dynamics, a random link is selected and it breaks with a probability that depends on the relationship type. Subsequently, a new link to a random neighbor is established. In contrast to earlier work [2], the total number of links is constant. The model can be solved analytically under time scale separation. This leads to a simple rule for the evolution of cooperation, that is, the more fragile CD links are (or the less fragile CC ones are), the more likely cooperation prevails [3]. Our work may shed light on the ubiquitous cooperation in the real world where social networks are dynamic.
[1] Szabó and Tőke, Phys. Rev. E 58, 69 - 73 (1998).
[2] Pacheco, Traulsen and Nowak, Phys. Rev. Lett. 97, 258103 (2006).
[3] Wu, et al. (submitted).