Credibilistic Loss Aversion Nash Equilibrium for Bimatrix Games with Triangular Fuzzy Payoffs
Joint Authors
Tan, Chunqiao
Feng, Zhongwei
Cui, Chunsheng
Source
Issue
Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-16, 16 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2018-12-16
Country of Publication
Egypt
No. of Pages
16
Main Subjects
Abstract EN
Inspired by Shalev’s model of loss aversion, we investigate the effect of loss aversion on a bimatrix game where the payoffs in the bimatrix game are characterized by triangular fuzzy variables.
First, we define three solution concepts of credibilistic loss aversion Nash equilibria, and their existence theorems are presented.
Then, three sufficient and necessary conditions are given to find the credibilistic loss aversion Nash equilibria.
Moreover, the relationship among the three credibilistic loss aversion Nash equilibria is discussed in detail.
Finally, for 2×2 bimatix game with triangular fuzzy payoffs, we investigate the effect of loss aversion coefficients and confidence levels on the three credibilistic loss aversion Nash equilibria.
It is found that an increase of loss aversion levels of a player leads to a decrease of his/her own payoff.
We also find that the equilibrium utilities of players are decreasing (increasing) as their own confidence levels when players employ the optimistic (pessimistic) value criterion.
American Psychological Association (APA)
Cui, Chunsheng& Feng, Zhongwei& Tan, Chunqiao. 2018. Credibilistic Loss Aversion Nash Equilibrium for Bimatrix Games with Triangular Fuzzy Payoffs. Complexity،Vol. 2018, no. 2018, pp.1-16.
https://search.emarefa.net/detail/BIM-1135633
Modern Language Association (MLA)
Cui, Chunsheng…[et al.]. Credibilistic Loss Aversion Nash Equilibrium for Bimatrix Games with Triangular Fuzzy Payoffs. Complexity No. 2018 (2018), pp.1-16.
https://search.emarefa.net/detail/BIM-1135633
American Medical Association (AMA)
Cui, Chunsheng& Feng, Zhongwei& Tan, Chunqiao. Credibilistic Loss Aversion Nash Equilibrium for Bimatrix Games with Triangular Fuzzy Payoffs. Complexity. 2018. Vol. 2018, no. 2018, pp.1-16.
https://search.emarefa.net/detail/BIM-1135633
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1135633