Uniqueness of Generalized Equilibrium for Box Constrained Problems and Applications
نویسندگان
چکیده
In recent work, Simsek-Ozdaglar-Acemoglu [5] prove a generalization of the Poincare-Hopf Theorem and establish sufficient conditions for the uniqueness of generalized critical points (generalized equilibria) under some regularity assumptions. In this paper, we restrict ourselves to functions on box-constrained regions and establish the uniqueness of the generalized critical point with weaker regularity assumptions than in [5]. We use our uniqueness result to show the uniqueness of equilibrium in two recent network control models.
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