Existence and Stability of Fuzzy Slightly Altruistic Equilibrium for a Class of Generalized Multiobjective Fuzzy Games

Jian-ping Tian (), Wen-sheng Jia () and Li Zhou
Additional contact information
Jian-ping Tian: Guizhou University
Wen-sheng Jia: Guizhou University
Li Zhou: Guizhou University

Journal of Optimization Theory and Applications, 2024, vol. 203, issue 1, No 5, 125 pages

Abstract: Abstract We mainly study the existence, structural stability and robustness of fuzzy slightly altruistic equilibria for a class of generalized multiobjective fuzzy games which are expressed as $$\varpi $$ ϖ . Firstly, we introduce the concept of fuzzy slightly altruistic equilibrium and prove the existence of equilibrium for the $$\varpi $$ ϖ by Fan–Glicksberg fixed point theorem. Secondly, the connections between $$\varpi $$ ϖ and bounded rationality are discussed by an abstract rationality functions. Moreover, we construct the problem space of $$\varpi $$ ϖ which is represented by $$\varLambda $$ Λ and show that most $$\varpi \in \varLambda $$ ϖ ∈ Λ are structurally stable and robust to $$\varepsilon $$ ε -equilibrium on the meaning of Baire category. These results are new and extend some existing results in recent literature.

Keywords: Generalized multiobjective fuzzy game; Fan–Glicksberg fixed point; Slightly altruism; Bounded rationality; 91A10; 62G35; 37C20; 03E72 (search for similar items in EconPapers)
Date: 2024
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
http://link.springer.com/10.1007/s10957-024-02471-w Abstract (text/html)
Access to the full text of the articles in this series is restricted.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:joptap:v:203:y:2024:i:1:d:10.1007_s10957-024-02471-w

Ordering information: This journal article can be ordered from
http://www.springer. ... cs/journal/10957/PS2

DOI: 10.1007/s10957-024-02471-w

Access Statistics for this article

Journal of Optimization Theory and Applications is currently edited by Franco Giannessi and David G. Hull

More articles in Journal of Optimization Theory and Applications from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().