Regensburg 2004 – wissenschaftliches Programm
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AKSOE: Physik sozio-ökonomischer Systeme
AKSOE 3: Postersitzung
AKSOE 3.11: Poster
Montag, 8. März 2004, 16:00–18:00, Poster D
Food-web representation of agent interaction in a spatial IPD — •Robert Mach1,2 and Frank Schweitzer1,3 — 1Fraunhofer Institute for Autonomous Intelligent Systems, Schloss Birlinghoven, D-53754 Sankt Augustin, Germany — 2Institute for Theoretical Physics, Cologne University, D-50923 Koeln, Germany — 3Institute of Physics, Humboldt University Berlin, D-10099 Berlin, Germany
We use a two-dimensional cellular automaton to investigate an iterated Prisoner’s Dilemma (IPD) game with 8 different strategies and one-step memory. The agents are distributed on a 2D grid and are assumed to interact a number of ng times with their four nearest neighbors during each generation. The agents try to increase their individual payoff by adopting the strategy of their most successful neighbor at the end of each generation. This adaptation process leads to a global pattern formation of strategy distribution. For ng=2 and an initial population consisting of three strategies, a food-web representation can be found by means of a local configurations analysis, describing the relationship between agents. This food-web representation is suitable to explain a crossover dynamics, in which a strategy after an initially strong decline becomes the majority in the end. Dependent on the local frequencies of the strategies, two consecutive stages can be distinguished until the dynamics become stationary.