Berlin 2005 – scientific programme

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AKSOE: Physik sozio-ökonomischer Systeme

AKSOE 8: Poster Session

AKSOE 8.17: Poster

Monday, March 7, 2005, 14:00–15:30, Poster TU E

Similarity-based cooperation and spatial segregation — •Arne Traulsen and Jens Christian Claussen — Theoretical Physics, University Kiel

We analyze a cooperative game, where the cooperative act is not based on the previous behavior of the coplayer, but on the similarity between the players. This system has been studied in a mean-field description recently [1]. Here, the spatial extension to a two-dimensional lattice is studied [2], where each player interacts with eight players in a Moore neighborhood. The system shows a strong segregation independent of parameters. The introduction of a local conversion mechanism towards tolerance allows for four-state cycles and the emergence of spiral waves in the spatial game. In the case of asymmetric costs of cooperation a rich variety of complex behavior is observed depending on both cooperation costs [2]. Finally, we study the stabilization of a cooperative fixed point of a forecast rule in the symmetric game, which corresponds to cooperation across segregation borders. This fixed point becomes unstable for high cooperation costs, but can be stabilized by a linear feedback mechanism [2].

[1] A. Traulsen and H. G. Schuster, Phys. Rev. E 68, 046129 (2003)

[2] A. Traulsen and J. C. Claussen, Phys. Rev. E 70, 046128 (2004)