求解交叉规划模型的一类联合均衡方法

J4 ›› 2009, Vol. 44 ›› Issue (6): 51-55.

求解交叉规划模型的一类联合均衡方法

徐新生,孙建武,窦慧

滨州学院数学与信息科学系, 山东滨州 256603

收稿日期:2008-12-08 发布日期:2011-06-03
作者简介:徐新生(1981-),男,助教,硕士,研究方向为群体决策、经济均衡.Email:xxs0905@163.com
基金资助:
浙江省自然科学基金资助项目(060697);滨州学院科研基金资助项目(bzxykj0819)

A joint equilibrium method for solving interaction programming models

XU Xinsheng, SUN Jianwu, DOU Hui

Department of Mathematics and Information Science, Binzhou Universit y, Binzhou 256603, Shandong, China

Received:2008-12-08 Published:2011-06-03

摘要/Abstract

摘要：

引进了交叉规划模型中关于决策者最优个体值的均衡因子的概念,构造了一类求解交叉规划模型的联合均衡方法,给出了交叉规划模型基于该方法的联合最优解的定义、性质及求解方法,数值例子表明该方法对于求解交叉规划模型具有一定的有效性。

关键词: 交叉规划模型；Nash均衡解；均衡因子；联合最优解

Abstract:

By introducing the equilibrium factor about the optimal personal value of decision makers,we give a class of joint equilibrium methods for solving interaction programming models. Also, some properties, conceptions and solving methods of the optimal solution based on this method for interaction programming models are also discussed. A numerical example illustrates that this proposed method is efficient for solving interaction programming models.

Key words: interaction programming models; Nashequilibrium solution; e quilibrium factor; joint optimal solution

中图分类号:

. 求解交叉规划模型的一类联合均衡方法[J]. J4, 2009, 44(6): 51-55.

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