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

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．

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.