Multiplayer boycotts in convex games

We extend the notion of boycotts in cooperative games from one-on-one boycotts between single players to boycotts between coalitions. We prove that convex games offer a proper setting for studying the impact of boycotts. Boycotts have a heterogeneous effect. Individual players that are targeted by many-on-one boycotts suffer most, while non-participating players may actually benefit from a boycott.