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I develop and analyze a mathematical model describing the relationship between individual contributions to a collective good and the network of social relations that makes these contributions interdependent. Starting from the assumption that actors respond to the contributions of others because of efficacy concerns and norms offairness, I derive predictions about the impact of network structure on total contributions. Network density and size influence collective action outcomes in dramatically different ways, depending on the structural position of those who make unconditional contributions. Moreover, these effects are highly nonlinear, suggesting that the impact of social ties on collective action may be quite sensitive to mobilization contexts.
Roger V. Gould (Thu,) studied this question.