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DPG

Berlin 2015 – scientific programme

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BP: Fachverband Biologische Physik

BP 21: Complex Contagion Phenmomena (focus session, joint SOE/DY/BP)

BP 21.4: Talk

Tuesday, March 17, 2015, 11:15–11:30, MA 001

Competitive percolation: How cooperation can strengthen competitorsli chen1,2 and •dirk brockmann1,21Robert-Koch Institute, Berlin, Germany — 2Humboldt University, Berlin, Germany

Competition and cooperation are ubiquitous in natural and social systems. Typically, both concepts are considered as antagonistic and mutually exclusive dynamic forces that typically enter systems as independent degrees of freedom with opposite signs. Direct interactions of both concepts, e.g. the benefit of cooperation among competitors and vice versa, is less well understood. Here we investigate a network system, in which two choices initially compete with for individual agents in a susceptible population. Cooperation enters the system by enhanced recruitment in a secondary contagion process for those individuals that recovered from the first reaction. A mean-field analysis supplemented with agent-based simulations shows that these systems can exhibit a discontinuous transition for the contagion process for strong cooperativity. We also show that one "infection" only survives in the presence of the other. Our model can shed light on the dynamics of systems in socio-economic contexts, sports and stability of fashion traits.

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