Solution of Social Dilemmas in Two-Person Games with Complex Personality Profiles

We propose a theory of evolution of social systems which generalizes the standard proportional fitness rule of the evolutionary game theory. The formalism is applied to describe the dynamics of two-person one-shot games played in infinite populations. In particular it predicts the non-zero level of cooperation in the long run for the Prisoner's Dilemma games, the increase of the fraction of cooperators for general classes of the Snow - Drift games, and stable nonzero cooperation level for coordination games.

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