Existence of Nash equilibria for generalized multiobjective games through the vector extension of Weierstrass and Berge maximum theorems

John Edwin Cotrina Asto, Fabián Flores-Bazán

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1 Scopus citations

Abstract

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.
Original languageEnglish
Article number115720
JournalJournal of Computational and Applied Mathematics
Volume442
Early online date4 Dec 2023
DOIs
StatePublished - 1 May 2024

Bibliographical note

Publisher Copyright:
© 2023 Elsevier B.V.

Keywords

  • Vector optimization
  • Berge’s maximum theorem
  • Weierstrass theorem
  • Generalized multiobjective games
  • Berge's maximum theorem

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