Similarity based cooperation and spatial segregation
| dc.creator | Traulsen, Arne | |
| dc.creator | Claussen, Jens Christian | |
| dc.date | 2004-04-28 | |
| dc.date | 2005-01-04 | |
| dc.date.accessioned | 2026-07-07T02:57:53Z | |
| dc.date.available | 2026-07-07T02:57:53Z | |
| dc.description | We analyze a cooperative game, where the cooperative act is not based on the previous behaviour of the co-player, but on the similarity between the players. This system has been studied in a mean-field description recently [A. Traulsen and H. G. Schuster, Phys. Rev. E 68, 046129 (2003)]. Here, the spatial extension to a two-dimensional lattice is studied, where each player interacts with eight players in a Moore neighborhood. The system shows a strong segregation independent on 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. 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. | |
| dc.description | 7 pages, 9 figures | |
| dc.identifier | https://arxiv.org/abs/cond-mat/0404694 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/0404694 | |
| dc.identifier | Phys. Rev. E 70, 046128 (2004) | |
| dc.identifier | doi:10.1103/PhysRevE.70.046128 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/23849 | |
| dc.subject | Statistical Mechanics | |
| dc.title | Similarity based cooperation and spatial segregation | |
| dc.type | text |