Optimal design of exchange water networks with control inputs in eco-industrial parks

D Aussel, KC Van, D Salas - Energy Economics, 2023 - Elsevier
Industrial water conservation is an important adaptation to preserve the environment. Eco-
Industrial Parks (EIPs) have been designed to encourage the establishment of water …

Variational and quasi-variational inequalities under local reproducibility: solution concept and applications

D Aussel, P Chaipunya - Journal of Optimization Theory and Applications, 2024 - Springer
Local solutions for variational and quasi-variational inequalities are usually the best type of
solutions that could practically be obtained when in lack of convexity or else when available …

A continuity result for the adjusted normal cone operator

M Castellani, M Giuli - Journal of Optimization Theory and Applications, 2024 - Springer
The concept of adjusted sublevel set for a quasiconvex function was introduced by Aussel
and Hadjisavvas who proved the local existence of a norm-to-weak∗ upper semicontinuous …

Lipschitz Continuity Results for a Class of Parametric Variational Inequalities and Applications to Network Games

M Passacantando, F Raciti - Algorithms, 2023 - mdpi.com
We consider a class of finite-dimensional variational inequalities where both the operator
and the constraint set can depend on a parameter. Under suitable assumptions, we provide …

A note on the Finite intersection property in “Existence of Nash equilibria for generalized multiobjective games through the vector extension of Weierstrass and Berge …

J Cotrina, F Flores-Bazán - Journal of Computational and Applied …, 2024 - Elsevier
This note qualifies some results in Cotrina and Flores-Bazán (2024) on the 'Finite
intersection property'. We remind the essential role of this property for proving our results. In …

A note on jointly convex Nash games

O Bueno, C Calderón, J Cotrina - Optimization, 2023 - Taylor & Francis
In this note we are interested in a relevant generalized Nash equilibrium problem, which
was proposed by Rosen in 1965. An existence result is established in the general setting of …

Inverse Maximum Theorems and Their Relations with Equilibrium and Fixed Point Theorems

J Cotrina, R Fierro - Journal of Optimization Theory and Applications, 2023 - Springer
This work is devoted to inverse maximum theorems and is motivated by the ones given by
Komiya and Yamauchi. Also, we show that the results by Arrow and Debreu, on the …

Algebraic Degrees of Generalized Nash Equilibrium Problems

J Nie, K Ranestad, X Tang - arXiv preprint arXiv:2208.00357, 2022 - arxiv.org
This paper studies algebraic degree of generalized Nash equilibrium problems (GNEPs)
given by polynomials. Their generalized Nash equilibria (GNEs), as well as their KKT or Fritz …

Remarks on projected solutions for generalized Nash games

C Carlos, C John - arXiv preprint arXiv:2307.13171, 2023 - arxiv.org
In this work, we focus on the concept of projected solutions for generalized Nash equilibrium
problems. We present new existence results by considering sets of strategies that are not …

Generalized ordinal Nash games: Variational approach

O Bueno, J Cotrina, Y García - Operations Research Letters, 2023 - Elsevier
It is known that the generalized Nash equilibrium problem can be reformulated as a
quasivariational inequality. Our aim in this work is to introduce a variational approach to …