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

Authors

DOI:

https://doi.org/10.1478/AAPP.98S2A6

Keywords:

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

Abstract

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.

Author Biographies

  • Maria B. Donato, Università degli Studi di Messina
    Department of Economics
  • Antonio Villanacci, Università degli Studi di Firenze
    Department of Economics and Management

Downloads

Published

2020-12-13

Issue

Vol 98, SUPPL NO 2 (2020): VA.PDE.ME.19

Section

Variational Analysis, PDEs and Mathematical Economics (Conference Proceedings)

License

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

Authors who publish with this journal agree to the following terms:
  • Authors retain copyright and grant the journal right of first publication with the work simultaneously licensed under a Creative Commons Attribution License that allows others to share the work with an acknowledgement of the work's authorship and initial publication in this journal.
  • Authors are able to enter into separate, additional contractual arrangements for the non-exclusive distribution of the journal's published version of the work (e.g., post it to an institutional repository or publish it in a book), with an acknowledgement of its initial publication in this journal.
  • Authors are permitted and encouraged to post their work online (e.g., in institutional repositories or on their website) prior to and during the submission process, as it can lead to productive exchanges, as well as earlier and greater citation of published work (See The Effect of Open Access).