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SYSS: Structure Formation and Self-Organization in non-equilibrium Systems

SYSS 2: Structure Formation and Self-Organization in non-equilibrium Systems II

SYSS 2.4: Poster

Donnerstag, 30. März 2006, 15:15–15:30, BAR Sch\"o

Non-stationary spatial pattern formation in a game-theoretical model — •Robert Mach and Frank Schweitzer — Chair of Systems Design, ETH Zurich, CH-8092 Zurich

Self-organization is a predominant dynamics also in socio-economic systems, where it results from the nonlinear interactions between spatially distributed agents. Each of these agents is driven by internal forces, for example maximizing its private utility. This depends on the interaction with other agents, which is costly. So the whole multi-agent system can only operate in non-equilibrium. The agent’s interaction often also leads to the adaptation of a more successful strategy for maximizing the utility. As an example for the interaction we choose a standard example of evolutionary game theory, the iterated prisoner’s dilemma (IPD), where 8 different strategies are possible. We are interested in the spatio-temporal distributions of such strategies and the relation to known dynamics of pattern formation in physical systems. We show that the survival of strategies strongly depends on the evolutionary path of the system, i.e. on local conditions. This may lead to different attractors, characterized by different pools of strategies. While the frequencies remain stable, they may still show non-stationary patterns. We further investigate the local conditions that trigger the dynamics towards these different attractors.