TY - JOUR
T1 - Inverse maximum theorems and their relations with equilibrium and fixed point theorems
AU - Cotrina, John
AU - Fierro, Raúl
PY - 2023/9
Y1 - 2023/9
N2 - 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.
AB - 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.
KW - Inverse maximum theorems
KW - The Berge maximum theorem
KW - Generalized Nash game
KW - The Kakutani fixed point theorem
UR - http://www.scopus.com/inward/record.url?scp=85166006346&partnerID=8YFLogxK
UR - https://www.mendeley.com/catalogue/a8d680d9-e4d6-31a5-b5f7-d77f6969a5ea/
U2 - 10.1007/s10957-023-02279-0
DO - 10.1007/s10957-023-02279-0
M3 - Article in a journal
SN - 0022-3239
VL - 198
SP - 1118
EP - 1129
JO - Journal of Optimization Theory and Applications
JF - Journal of Optimization Theory and Applications
IS - 3
ER -