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用线性互补及二次规划理论分析市场均衡问题
Analysis about Market Equilibrium Problem with the Theory of Linear complementarity and Quadratic Programmiug
【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.
【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.
【关键词】 市场均衡;
线性互补问题;
二次规划;
【Key words】 Market equilibrium; Linear complemantarity problem; Quadratic programming;
【Key words】 Market equilibrium; Linear complemantarity problem; Quadratic programming;
- 【文献出处】 中国管理科学 ,CHINESE JOURNAL OF MANAGEMENT SCIENCE , 编辑部邮箱 ,1997年04期
- 【分类号】F224
- 【被引频次】6
- 【下载频次】81