The matrix game and bi-matrix game are typical non-cooperative games. Nowadays, interactive game decisions on social management are mainly concerned, especially when players are faced with uncertain payoffs. The aim of this paper is to develop simple and effective parameterized linear programming methods for solving two types of matrix games with payoffs expressed by intuitionistic fuzzy (IF) information. In these methods, the expected values of players are regarded as monotonic functions with their risk preferences. Hereby we construct two models of auxiliary bilinear programming, and the corresponding optimal strategies can be easily obtained by explicit computation. The models and methods proposed in this paper are applied in two ecological management problems, and the validity and applicability are verified.
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This work presented in this paper is supported by the Science Foundation of Ministry of Education of China (No.19YJC630201), the China Postdoctoral Science Foundation (No.227348), and the Program for Distinguished Young Scholars in University of Fujian Province (No. K80SCC55A). We appreciate the comments and suggestions will give by the reviewers and editor of this journal.
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Yang, J., Xu, Z. & Dai, Y. Simple noncooperative games with intuitionistic fuzzy information and application in ecological management. Appl Intell (2021). https://doi.org/10.1007/s10489-021-02215-7
- Zero-sum game
- Bi-matrix game
- Intuitionistic fuzzy information
- Fuzzy measure
- Strategy choice
- Ecological management