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Berlin 2012 – wissenschaftliches Programm

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SOE: Fachverband Physik sozio-ökonomischer Systeme

SOE 3: Economic Models and Evolutionary Game Theory I

SOE 3.4: Vortrag

Montag, 26. März 2012, 11:45–12:00, H 0110

Response to social norms enhancement by heterogenous populations — •Claudio J. Tessone1, Anxo Sánchez2, and Frank Schweitzer11Chair of Systems Design, ETH Zürich. Kreuzplatz 5, CH-8032 Zürich, Switzerland — 2Grupo Interdisciplinar de Sistemas Complejos (GISC), Departamento de Matemáticas, Universidad Carlos III, E-28933 Leganés , Spain

We study the appearance of diversity-induced resonance in a purely economic model of cooperating and defecting agents. The contribution of an agent to a public good is seen as a social norm. So, defecting agents face a social pressure, which decreases if free-riding becomes widespread. Diversity, in this model, comes from the different sensitivity of agents towards the social norm, which itself can change over time in a periodic manner. We study the evolution of cooperation in response to the social norm (i) for the replicator dynamics, and (ii) for the logit dynamics, both analytically and by means of computer simulations. Diversity-induced resonance is observed as a peak in the response of the agents to a change in the strength of the social norm, as a function of the diversity in the individuals. We provide an analytical, mean-field approach for the logit dynamics that is in very good agreement with the simulations, making explicit the connection with the physical paradigm of diversity-induced resonance in bistable systems. From a socio-economic perspective, our results show that, counter-intuitively, idiosyncratic diversity in the individual sensitivity to social norms may result in a society that better follows such norms as a whole, even if part of the population is less prone to follow them.

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