Coordination games with vanishing actions

We deal with n-player coordination games with vanishing actions, which are repeated games where all non-diagonal entries yield zero-payoffs, and where, moreover, at any stage beyond r i any player i loses any action that she has not used during the previous r i stages of play. For these games we examine the set of equilibrium rewards, where we treat the two-player case and the more player case separately. Folk-theorem like results are established.