Dresden 2009 – scientific programme

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AGSOE: Arbeitsgruppe Physik sozio-ökonomischer Systeme

AGSOE 9: Economic Models and Evolutionary Game Theory I

AGSOE 9.2: Talk

Tuesday, March 24, 2009, 14:30–15:00, BAR 205

Coarse-graining of evolutionary models — •Johannes Höfener — Biological Physics Section, Max-Planck Institut für Physik komplexer Systeme, Nöthnitzer Straße 38, 01187 Dresden, Germany

Analyzing complex evolutionary agent-based models by simulations can become prohibitively numerical demanding. Here we present a coarse-graining method, which uses only short burst of agent-based simulations to extract the information that is necessary to study the system directly on the level of trait distributions. We illustrate this approach by two examples from game theory. First, we show that it reproduces well-known results on the continuous snowdrift game, while numerical performance is increased by a factor of 1000. Then we consider a network snowdrift game, in which players can cut links to uncooperative neighbors. Here both the cooperative investment and the threshold for cutting links are treated as evolutionary traits. Our results show that this form of topological punishment can effectively enforce cooperation.