Pattern Formation, Social Forces, and Diffusion Instability in Games with Success-Driven Motion

Details Pattern Formation, Social Forces, and Diffusion Instability in Games with Success-Driven Motion Pattern Formation, Social Forces, and Diffusion Instability in Games with Success-Driven Motion

2009-03-05

arxiv.org/abs/0903.0928v1

European Physical Journal B 67, 345-356 (2009)

Physics

Physics and Society

For related work see http://www.helbing.org

Scientific paper

10.1140/epjb/e2009-00025-7

A local agglomeration of cooperators can support the survival or spreading of cooperation, even when cooperation is predicted to die out according to the replicator equation, which is often used in evolutionary game theory to study the spreading and disappearance of strategies. In this paper, it is shown that success-driven motion can trigger such local agglomeration and may, therefore, be used to supplement other mechanisms supporting cooperation, like reputation or punishment. Success-driven motion is formulated here as a function of the game-theoretical payoffs. It can change the outcome and dynamics of spatial games dramatically, in particular as it causes attractive or repulsive interaction forces. These forces act when the spatial distributions of strategies are inhomogeneous. However, even when starting with homogeneous initial conditions, small perturbations can trigger large inhomogeneities by a pattern-formation instability, when certain conditions are fulfilled. Here, these instability conditions are studied for the prisoner's dilemma and the snowdrift game. Furthermore, it is demonstrated that asymmetrical diffusion can drive social, economic, and biological systems into the unstable regime, if these would be stable without diffusion.

Affiliated with

Also associated with

No associations

Rating

Pattern Formation, Social Forces, and Diffusion Instability in Games with Success-Driven Motion does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Pattern Formation, Social Forces, and Diffusion Instability in Games with Success-Driven Motion, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Pattern Formation, Social Forces, and Diffusion Instability in Games with Success-Driven Motion will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-115012