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from local to global dilemmas in social networks从本地到全球困境的社会网络
From Local to Global Dilemmas in Social Networks ´ 1 1,2 1,3 Flavio L. Pinheiro , Jorge M. Pacheco , Francisco C. Santos * ´ ˜ ˜ 1 Applications of Theoretical Physics Group, Centro de Matematica e Aplicac¸oes Fundamentais, Instituto para a Investigac¸ao Interdisciplinar da Universidade de Lisboa, ´ ˜ ´ Lisboa, Portugal, 2 Departamento de Matematica e Aplicac¸oes, Universidade do Minho, Braga, Portugal, 3 Departamento de Engenharia Informatica, Instituto Superior ´ ´ Tecnico, Universidade Tecnica de Lisboa, Lisboa, Portugal Abstract Social networks affect in such a fundamental way the dynamics of the population they support that the global, population- wide behavior that one observes often bears no relation to the individual processes it stems from. Up to now, linking the global networked dynamics to such individual mechanisms has remained elusive. Here we study the evolution of cooperation in networked populations and let individuals interact via a 2-person Prisoner’s Dilemma – a characteristic defection dominant social dilemma of cooperation. We show how homogeneous networks transform a Prisoner’s Dilemma into a population-wide evolutionary dynamics that promotes the coexistence between cooperators and defectors, while heterogeneous networks promote their coordination. To this end, we define a dynamic variable that allows us to track the self-organization of cooperators when co-evolving with defectors in networked popul
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