We consider collective decisions made by agents whose preferences and power depend on past events and decisions. Faced with an ineffcient equilibrium and an opportunity to commit to a policy, can the agents reach an agreement on such a policy? Under an intuitive condition linking power...

We study a version of the Colonel Blotto game where valuations across battlefields are heterogeneous and asymmetric. These games can exhibit unique pure strategy equilibria, some of which are non-monotonic with respect to the battlefield valuations. We test our theoretical predictions in the...