Dresden 2003 – wissenschaftliches Programm
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AKSOE: Physik sozio-ökonomischer Systeme
AKSOE 4: Mikro-ökonomische Modelle und Multi-Agenten-Systeme
AKSOE 4.4: Vortrag
Dienstag, 25. März 2003, 11:00–11:30, BAR/205
Evolution of Cooperation in a Spatial Prisoner’s Dilemma — •Frank Schweitzer1,2, Laxmidhar Behera1,3, and Heinz Mühlenbein1 — 1Fraunhofer Institute for Autonomous Intelligent Systems, Schloss Birlinghoven, D-53754 Sankt Augustin — 2Institute of Physics, Humboldt University, D-10099 Berlin — 3Department of Electrical Engineering, Indian Institute of Technology, Kanpur 208 016, India
We investigate the spatial distribution and the global frequency of agents who can either cooperate or defect. The agent interaction is described by a deterministic, non-iterated prisoner’s dilemma game, further each agent only locally interacts with his neighbors. Based on a detailed analysis of the local payoff structures we derive critical conditions for the invasion or the spatial coexistence of cooperators and defectors. These results are concluded in a phase diagram that allows to identify five regimes, each characterized by a distinct spatiotemporal dynamics and a corresponding final spatial structure. In addition to the complete invasion of defectors, we find coexistence regimes with either a majority of cooperators in large spatial domains, or a minority of cooperators organized in small non-stationary domains or in small clusters.
F. Schweitzer, L. Behera, H. Mühlenbein: Advances in Complex Systems 5/2-3 (2002) 269-299