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

John Cotrina () and Raúl Fierro ()
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John Cotrina: Universidad del Pacífico
Raúl Fierro: Pontificia Universidad Católica de Valparaíso

Journal of Optimization Theory and Applications, 2023, vol. 198, issue 3, No 9, 1118-1129

Abstract: 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.

Keywords: Inverse maximum theorems; The Berge maximum theorem; Generalized Nash game; The Kakutani fixed point theorem; 46N10; 91B50; 49J35 (search for similar items in EconPapers)
Date: 2023
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DOI: 10.1007/s10957-023-02279-0

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