Invariance of the equilibrium set of games with an endogenous sharing rule

摘要

We consider games with an endogenous sharing rule and provide conditions for the invariance of the equilibrium set, i.e., for the existence of a common equilibrium set for the games defined by each possible sharing rule. Applications of our results include Bertrand competition with convex costs, electoral competition, and contests. (C) 2018 Elsevier Inc. All rights reserved.