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There are many examples of cooperation in Nature: cells cooperate to form tissues, organs cooperate to form living organisms, and individuals cooperate to raise their offspring or to hunt. However, why cooperation emerges and survives in hostile environments, when defecting would be a much more profitable short-term strategy, is a question that still remains open. During the past few years, several explanations have been proposed, including kin and group selection, punishment and reputation mechanisms, or network reciprocity. This last one will be the center of the present study. The thesis explores the interface between the underlying structure of a given population and the outcome of the cooperative dynamics taking place on top of it, (namely, the Prisoner's Dilemma Game). The first part of this work analyzes the case of a static system, where the pattern of connections is fixed, so it does not evolve over time. The second part develops two models for growing topologies, where the growth and the dynamics are entangled.

Biological models. --- Game theory. --- Physics. --- System analysis. --- Topology. --- Game theory --- System analysis --- Topology --- Physics --- Mathematics --- Physical Sciences & Mathematics --- Algebra --- Atomic Physics --- Social networks. --- Prisoner's dilemma game. --- Social interaction. --- Human interaction --- Interaction, Social --- Symbolic interaction --- Decomposed prisoner's dilemma game --- Networking, Social --- Networks, Social --- Social networking --- Social support systems --- Support systems, Social --- Systems biology. --- Statistical physics. --- Dynamical systems. --- Statistical Physics, Dynamical Systems and Complexity. --- Game Theory, Economics, Social and Behav. Sciences. --- Systems Biology. --- Exchange theory (Sociology) --- Psychology --- Social psychology --- Choice (Psychology) --- Social interaction --- Interpersonal relations --- Cliques (Sociology) --- Microblogs --- Mathematics. --- Complex Systems. --- Statistical Physics and Dynamical Systems. --- Mathematical statistics --- Models, Biological --- Math --- Science --- Statistical methods --- Computational biology --- Bioinformatics --- Biological systems --- Molecular biology --- Games, Theory of --- Theory of games --- Mathematical models --- Dynamical systems --- Kinetics --- Mechanics, Analytic --- Force and energy --- Mechanics --- Statics