吉林大学学报(理学版)

• 数学 • 上一篇    下一篇

多目标博弈问题的求解算法

张杰, 于洋, 雷洋   

  1. 东北电力大学 理学院, 吉林 吉林 132012
  • 收稿日期:2015-12-01 出版日期:2016-07-26 发布日期:2016-07-20
  • 通讯作者: 张杰 E-mail:jlzj2005@163.com

Solution Algorithm of Multiobjective Game Problem

ZHANG Jie, YU Yang, LEI Yang   

  1. College of Science, Northeast Dianli University, Jilin 132012, Jilin Province, China
  • Received:2015-12-01 Online:2016-07-26 Published:2016-07-20
  • Contact: ZHANG Jie E-mail:jlzj2005@163.com

摘要:

针对多个局中人多个支付函数的多目标博弈问题, 研究每个局中人支付函数均衡协调最优值的存在性. 证明了博弈系统在均衡协调意义下均衡解的存在性, 并给出了求解多目标博弈问题的均衡协调算法. 实例分析检验了算法的合理性和有效性.

关键词: 完全信息, 字典序均衡解, 多目标博弈, 均衡协调

Abstract:

For multiobjective game problem of the plurality players of multiple payment function, we studied the existence of optimal value of each player’s payment function based on equilibrium coordination. We proved the existence of equilibrium solution in the equilibrium coordination sense of game system, and gave the equilibrium coordination algorithm to solve the problem of multiobjective game. The rationality and validity of the algorithm were tested by example analysis.

Key words: complete information, lexicographical order equilibrium solution, multiobjective game, equilibrium coordination

中图分类号: 

  • O225