| 一类双层规划问题及其在矩阵对策中的应用 |
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| 引用本文： | 白国仲. 一类双层规划问题及其在矩阵对策中的应用[J]. 数学的实践与认识, 2007, 37(24): 124-131 |
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| 作者姓名： | 白国仲 |
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| 作者单位： | 广东商学院,数学系,广州,510320 |
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| 摘 要： | 基于建设节约型社会和保护资源环境的需要,提出了一类特殊的双层规划问题,即B规划.给出了B规划的数学模型、有关理论和求解方法.最后还给出了B规划在矩阵对策中的一个应用.我们把局中人设有得失控制值的对策问题称为稳妥型对策.稳妥型矩阵对策可化为B规划问题求解.
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| 关 键 词： | 节约型社会 双层规划 数学模型 控制值 稳妥型矩阵对策 |
| 修稿时间： | 2006-12-20 |
A Bilevel Programming and Its Application in the Matrix Games |
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| BAI Guo-zhong. A Bilevel Programming and Its Application in the Matrix Games[J]. Mathematics in Practice and Theory, 2007, 37(24): 124-131 |
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| Authors: | BAI Guo-zhong |
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| Abstract: | Based on the demands of constructing a saving society,protecting natural environment and resources,a new bilevel programming problem is posed.It is said to be the B-Programming problem.This paper establishes the mathematical model of the B-programming problem,theory and solution.Lastly,an application of the B-programming in the matrix games is given.A game problem,in which every player has a controlled value of the gain and loss,is said to be a reliable game problem.A reliable matrix game may be transformed into a B-programming problem. |
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| Keywords: | saving society bilevel programming mathematical model controlled value reliable matrix game |
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