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

Cotrina, John; Fierro, Raul

Abstract

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 existence of solutions for generalized Nash games, and the Kakutani–Fan–Glicksberg fixed point theorem can be derived from the Debreu–Fan–Glicksberg theorem, for classical Nash games.

Más información

Título según WOS: Inverse Maximum Theorems and Their Relations with Equilibrium and Fixed Point Theorems
Título según SCOPUS: Inverse Maximum Theorems and Their Relations with Equilibrium and Fixed Point Theorems
Título de la Revista: Journal of Optimization Theory and Applications
Volumen: 198
Número: 3
Editorial: Springer
Fecha de publicación: 2023
Página de inicio: 1118
Página final: 1129
Idioma: English
DOI:

10.1007/s10957-023-02279-0

Notas: ISI, SCOPUS