Berlin 2012 – scientific programme
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SOE: Fachverband Physik sozio-ökonomischer Systeme
SOE 19: Social Systems, Opinion and Group Dynamics II
SOE 19.1: Talk
Thursday, March 29, 2012, 11:30–11:45, H 0110
Serial phases of primacy in growing networks of cooperation — •Anne-Ly Do1, Abhishek Dasgupta2, and Thilo Gross3 — 1Max Planck Institute for the Physics of Complex Systems, Dresden, Deutschland — 2University of Oxford, Oxford, Great Britain — 3University of Bristol, Bristol, Great Britain
Intelligent agents, such as individuals, companies, or nations, can form complex networks of collaborative interactions. In these networks the collaborative behavior of an individual is strongly influenced by the topological neighborhood, while the topology of the network itself evolves in response to the agents' behavior. We discuss a class of simple but general models, in which growing populations of rational, self-interested agents are able to establish and maintain different levels of cooperation with different, self-chosen partners. We show analytically and numerically that the network growth features distinct phases. In every such phase, a small group of agents succeeds to obligate all newly added agents and thus to acquire privileged topological positions, which enable them to extract extraordinarily high payoffs. We determine the factors that qualify an agent for primacy as well as the factors that indicate a forthcoming shift in primacy.