Next Article in Journal
Green Supply Chain Management with Nash Bargaining Loss-Averse Reference Dependence
Next Article in Special Issue
An Improved Alternating CQ Algorithm for Solving Split Equality Problems
Previous Article in Journal
On the Search for a Measure to Compare Interval-Valued Fuzzy Sets
Previous Article in Special Issue
Sehgal–Guseman-Type Fixed Point Theorem in b-Rectangular Metric Spaces
 
 
Search for Articles:
Title / Keyword
Author / Affiliation / Email
Journal
Article Type
 
 
Advanced Search
 
Section
Special Issue
Volume
Issue
Number
Page
 
Journals
Mathematics
Volume 9
Issue 24
10.3390/math9243158
mathematics-logo
Submit to this Journal Review for this Journal Propose a Special Issue
► Article Menu

Article Menu

share Share announcement Help format_quote Cite question_answer Discuss in SciProfiles
first_page
settings
Order Article Reprints
Font Type:
Arial Georgia Verdana
Font Size:
Aa Aa Aa
Line Spacing:
Column Width:
Background:
Article

Existence and Generic Stability of Strong Noncooperative Equilibria of Vector-Valued Games

by
Yu Zhang
1,
Shih-Sen Chang
2,* and
Tao Chen
3
1
College of Statistics and Mathematics, Yunnan University of Finance and Economics, Kunming 650221, China
2
Center for General Education, China Medical University, Taichung 40402, Taiwan
3
School of Fundamental Sciences, Yunnan Open University, Kunming 650223, China
*
Author to whom correspondence should be addressed.
Mathematics 2021, 9(24), 3158; https://doi.org/10.3390/math9243158
Submission received: 14 November 2021 / Revised: 1 December 2021 / Accepted: 3 December 2021 / Published: 7 December 2021
(This article belongs to the Special Issue Fixed Point, Optimization, and Applications II)
Versions Notes

Abstract

In this paper, we obtain an existence theorem of general strong noncooperative equilibrium point of vector-valued games, in which every player maximizes all goals. We also obtain an existence theorem of strong equilibrium point of vector-valued games with single-leader–multi-follower framework by using the upper semicontinuous of parametric strong noncooperative equilibrium point set of the followers. Moreover, we obtain some results on the generic stability of general strong noncooperative equilibrium point vector-valued games.
Keywords: strong noncooperative game; generic stability; vector payoff; single-leader–multi-follower framework strong noncooperative game; generic stability; vector payoff; single-leader–multi-follower framework

Share and Cite

MDPI and ACS Style

Zhang, Y.; Chang, S.-S.; Chen, T. Existence and Generic Stability of Strong Noncooperative Equilibria of Vector-Valued Games. Mathematics 2021, 9, 3158. https://doi.org/10.3390/math9243158

AMA Style

Zhang Y, Chang S-S, Chen T. Existence and Generic Stability of Strong Noncooperative Equilibria of Vector-Valued Games. Mathematics. 2021; 9(24):3158. https://doi.org/10.3390/math9243158

Chicago/Turabian Style

Zhang, Yu, Shih-Sen Chang, and Tao Chen. 2021. "Existence and Generic Stability of Strong Noncooperative Equilibria of Vector-Valued Games" Mathematics 9, no. 24: 3158. https://doi.org/10.3390/math9243158

APA Style

Zhang, Y., Chang, S.-S., & Chen, T. (2021). Existence and Generic Stability of Strong Noncooperative Equilibria of Vector-Valued Games. Mathematics, 9(24), 3158. https://doi.org/10.3390/math9243158

Note that from the first issue of 2016, this journal uses article numbers instead of page numbers. See further details here.

Article Metrics

Back to TopTop