TY - JOUR
T1 - Existence of Nash equilibria for generalized multiobjective games through the vector extension of Weierstrass and Berge maximum theorems
AU - Cotrina Asto, John Edwin
AU - Flores-Bazán, Fabián
N1 - Publisher Copyright:
© 2023 Elsevier B.V.
PY - 2023/12/4
Y1 - 2023/12/4
N2 - In this work, we deal with a vector extension of the generalized the Weierstrass and Berge maximum theorems, notably in mathematical economics. This is carried out by introducing the notions of transfer continuity and pseudo-continuity for those functions. Here the preference relation is given via a closed convex cone, having possibly empty interior. As a consequence, we present an existence of strong-Nash equilibria for generalized multiobjective games, and the Rosen model is revisited.
AB - In this work, we deal with a vector extension of the generalized the Weierstrass and Berge maximum theorems, notably in mathematical economics. This is carried out by introducing the notions of transfer continuity and pseudo-continuity for those functions. Here the preference relation is given via a closed convex cone, having possibly empty interior. As a consequence, we present an existence of strong-Nash equilibria for generalized multiobjective games, and the Rosen model is revisited.
KW - Vector optimization
KW - Berge’s maximum theorem
KW - Weierstrass theorem
KW - Generalized multiobjective games
KW - Berge's maximum theorem
UR - http://www.scopus.com/inward/record.url?scp=85179072008&partnerID=8YFLogxK
UR - https://www.mendeley.com/catalogue/fe198bcd-5bdb-3d40-a7e5-e3c2faf20570/
U2 - 10.1016/j.cam.2023.115720
DO - 10.1016/j.cam.2023.115720
M3 - Article in a journal
SN - 0377-0427
VL - 442
JO - Journal of Computational and Applied Mathematics
JF - Journal of Computational and Applied Mathematics
M1 - 115720
ER -