| 用线性互补及二次规划理论分析市场均衡问题 |
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| 引用本文： | 刘家壮,李荣生. 用线性互补及二次规划理论分析市场均衡问题[J]. 中国管理科学, 1997, 5(4): 1-7 |
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| 作者姓名： | 刘家壮 李荣生 |
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| 作者单位： | 山东大学数学所, 济南, 250100 |
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| 摘 要： | 本文讨论了一类完全竞争条件下的市场均衡问题,供给方的生产特征用线性规划模型进行刻划,市场需求函数源于一般经济意义下的模型,它是一系列相互独立的价格变量的函数．我们将此问题归结为线性互补问题,并依此讨论了均衡点的存在性．本文还讨论了一种用二次规划进行刻划的经济问题,并指出此二次规划的K－K－T条件等价于所讨论的线性互补问题．
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| 关 键 词： | 市场均衡 线性互补问题 二次规划 |
| 收稿时间： | 1997-05-24; |
Analysis about Market Equilibrium Problem with the Theory of Linear complementarity and Quadratic Programmiug |
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| Liu Jiazhuang,Li Rongsheug. Analysis about Market Equilibrium Problem with the Theory of Linear complementarity and Quadratic Programmiug[J]. Chinese Journal of Management Science, 1997, 5(4): 1-7 |
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| Authors: | Liu Jiazhuang Li Rongsheug |
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| Affiliation: | The Institute of Mathematics, Shandong University, Jinan |
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| Abstract: | A particular market equilibrium problem,in which the supply side is described by a linear programming problem and the market dernand function is generated by a general econometric models,is discussed in this paper.After converting this market equilibrium into a linear complemantarity problem,the existence of equilibrium points is studied.A kind of econometric problem which is described by a quadratic programming is discussed also.An analogous result is given by the theory of quadratic programming. |
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| Keywords: | Market equilibrium Linear complemantarity problem Quadratic programming |
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