Coarse Correlated Equilibria in an Abatement Game

We consider coarse correlated equilibria - CCE - (Moulin and Vial 1978) for the well-analyzed abatement game (Barrett 1994) and prove that CCE can strictly improve upon the Nash equilibrium payoffs, while correlated equilibrium - CE - (Aumann 1974, 1987) cannot, because these games are potential games. We compute the largest feasible total utility in any CCE in those games: it is achieved by a CCE involving only two pure strategy profiles, and the efficiency gain is small.