logo-site
Sci Math

Article Contents

1. Titles

2. Authors

3. DOI

4. Publisher

5. Publication year

6. Abstract

A new class of generalized multiobjective games in bounded rationality with fuzzy mappings: structural (λ,ε)-stability and (λ,ε)-robustness to ε-equilibria

Authors: Nguyen Van Hung, Donal O'Regan, Cho Je Yeol, Võ Minh Tâm, Nguyen Van Hung, Donal O’Regan,

https://doi.org/10.1016/j.cam.2020.112735

Publisher, magazine: ,

Publication year: 2020

  Lưu        Trích dẫn         Chia sẻ

Abstract

In this paper, we introduce a new class of generalized multiobjective games with fuzzy mappings and study the solution existence for this class of games. The model of bounded rationality proposed by Anderlini and Canning (2001) and Miyazaki and Azuma (2013) is applied to a new class of generalized multiobjective games with fuzzy mappings in infinite-dimensional spaces. We introduce a related abstract rationality function for this model using the nonlinear scalarization method and we show that the structural stability (i.e., (λ,ε)-stability) of this model implies its robustness (i.e., (λ,ε)-robustness) to ε-equilibria.

Tags: bounded rationality; structural stability; robustness; generalized multiobjective games; fuzzy mapping

Trở lại

Các bài viết liên quan đến tác giả Nguyen Van Hung

Regularized gap functions and error bounds for split mixed vector quasivariational inequality problems

Existence of solutions for a new class of fuzzy differential inclusions with resolvent operators in Banach spaces

Existence conditions for solutions of bilevel vector equilibrium problems with application to traffic network problems with equilibrium constraints

A new class of strong mixed vector GQVIP-generalized quasi-variational inequality problems in fuzzy environment with regularized gap functions based error bounds

Gap Functions and Error Bounds for Variational–Hemivariational Inequalities

Global error bounds for mixed Quasi-Hemivariational inequality problems on Hadamard manifolds

Levitin–Polyak well-posedness for strong bilevel vector equilibrium problems and applications to traffic network problems with equilibrium constraints

Painleve–Kuratowski convergences of the solution sets for generalized vector quasi-equilibrium problems

Regularized gap functions and error bounds for generalized mixed strong vector quasiequilibrium problems

Stability of solution mappings for parametric bilevel vector equilibrium problems