Existence of Generalized Nash Equilibrium in n-Person Noncooperative Games under Incomplete Preference
Author
Source
Issue
Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-5, 5 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2018-10-09
Country of Publication
Egypt
No. of Pages
5
Main Subjects
Abstract EN
To prove the existence of Nash equilibrium by traditional ways, a common condition that the preference of players must be complete has to be considered.
This paper presents a new method to improve it.
Based on the incomplete preference corresponding to equivalence class set being a partial order set, we translate the incomplete preference problems into the partial order problems.
Using the famous Zorn lemma, we get the existence theorems of fixed point for noncontinuous operators in incomplete preference sets.
These new fixed point theorems provide a new way to break through the limitation.
Finally, the existence of generalized Nash equilibrium is strictly proved in the n-person noncooperative games under incomplete preference.
American Psychological Association (APA)
Li, Xingchang. 2018. Existence of Generalized Nash Equilibrium in n-Person Noncooperative Games under Incomplete Preference. Journal of Function Spaces،Vol. 2018, no. 2018, pp.1-5.
https://search.emarefa.net/detail/BIM-1186363
Modern Language Association (MLA)
Li, Xingchang. Existence of Generalized Nash Equilibrium in n-Person Noncooperative Games under Incomplete Preference. Journal of Function Spaces No. 2018 (2018), pp.1-5.
https://search.emarefa.net/detail/BIM-1186363
American Medical Association (AMA)
Li, Xingchang. Existence of Generalized Nash Equilibrium in n-Person Noncooperative Games under Incomplete Preference. Journal of Function Spaces. 2018. Vol. 2018, no. 2018, pp.1-5.
https://search.emarefa.net/detail/BIM-1186363
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1186363