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We analyze the replicator equation for two games closely related
with the social dilemma occurring in public goods situations. In
one case, players can punish defectors in their group. In the
other case, they can choose not to take part in the game. In both
cases, interactions are not pairwise and payoffs non-linear.
Nevertheless, the qualitative dynamics can be fully analyzed. The
games offer potential solutions for the problem of the emergence
of cooperation in sizeable groups of non-related individuals -- a
basic question in evolutionary biology and economics.