An existence theorem for generalized quasi-variational inequalities involving the Grassmannian manifold with an application

Maria B. Donato, Antonio Villanacci


We present an existence theorem for a class of generalized quasi-variational problem involving Grassmannian manifolds. This class is directly inspired by a general equilibrium problem with time, uncertainty and incomplete financial market with real assets. The problem of the existence of this equilibrium cannot be analyzed using standard techniques employed in similar models. Then, we show how the concept of equilibrium is strictly related to the concept of Grassmannian manifolds. Finally, we present a variational inequality problem, whose solutions are equilibria of the proposed model.


Variational and quasi-variational inequalities; Grassmannian manifolds; General Economic Equilibrium

Full Text:



Copyright (c) 2020 Maria B. Donato, Antonio Villanacci

Creative Commons License
This work is licensed under a Creative Commons Attribution 4.0 International License.