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This paper reframes approachability theory within the context of population games. Thus, whilst one player aims at driving her average payoff to a predefined set, her opponent is not malevolent but rather extracted randomly from a population of individuals with given distribution on actions. First, convergence conditions are revisited based on the common prior on the population distribution, and we define the notion of 1st-moment approachability. Second, we develop a model of two coupledarXiv:1407.3910v1 fatcat:jc5wmnfusbg5folz5w3xpmedgm