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中国管理科学

中国管理科学 ›› 1997, Vol. ›› Issue (4): 1-7.

• 论文 •    下一篇

用线性互补及二次规划理论分析市场均衡问题

刘家壮, 李荣生   

  1. 山东大学数学所, 济南, 250100
  • 收稿日期:1997-05-24 出版日期:1997-12-28 发布日期:2012-03-06

Analysis about Market Equilibrium Problem with the Theory of Linear complementarity and Quadratic Programmiug

Liu Jiazhuang, Li Rongsheug   

  1. The Institute of Mathematics, Shandong University, Jinan
  • Received:1997-05-24 Online:1997-12-28 Published:2012-03-06

PDF (PC)

1569

被引次数

9

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．

关键词: 市场均衡, 线性互补问题, 二次规划

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.

Key words: Market equilibrium, Linear complemantarity problem, Quadratic programming