Existence and ordering stability of Nash equilibria for a class of differential games

Abstract In this paper, due to the introduction of a new concept called weak partial lower semicontinuous, we obtain the existence and stability of Nash equilibria for a class of differential games without using the assumptions of the lower semicontinuous set-valued functions and compact strategy sp...

Full description

Saved in:
Bibliographic Details
Main Authors: Dongyun Pan, Yingzi Peng, Shihuang Hong
Format: Article
Language:English
Published: SpringerOpen 2025-05-01
Series:Journal of Inequalities and Applications
Subjects:
Online Access:https://doi.org/10.1186/s13660-025-03312-8
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:Abstract In this paper, due to the introduction of a new concept called weak partial lower semicontinuous, we obtain the existence and stability of Nash equilibria for a class of differential games without using the assumptions of the lower semicontinuous set-valued functions and compact strategy spaces, which generalizes and improves the relevant results of the existing literature. Moreover, some examples are given to illustrate the applicability of our results.
ISSN:1029-242X