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We study the self-assembly of a complex network of collaborations amongself-interested agents. The agents can maintain different levels of cooperationwith different partners. Further, they continuously, selectively, andindependently adapt the amount of resources allocated to each of theircollaborations in order to maximize the obtained payoff. We show analyticallythat the system approaches a state in which the agents make identicalinvestments, and links produce identical benefits. Despite this high degree ofsocial coordination some agents manage to secure privileged topologicalpositions in the network enabling them to extract high payoffs. Our analyticalinvestigations provide a rationale for the emergence of unidirectionalnon-reciprocal collaborations and different responses to the withdrawal of apartner from an interaction that have been reported in the psychologicalliterature.

Patterns of cooperation: fairness and coordination in networks of interacting agents