一类价格调整问题的数学模型及其求解方法

虽然市场需求是价格的函数，但企业在价格调整实践中往往不能直接获取需求函数的具体表达式，而只能在某一给定价格水平下观察到市场需求量的值。因此，企业通常不能直接利用需求函数来调整价格以完成预期的市场需求调整的战略计划。本文将企业为达到市场需求战略调整目的而考虑的价格调整问题归结为一个隐式互补问题。在该模型中，企业可以依据自身经营战略目标的调整相应地调整各类产品的市场价格，使得价格调整后的产品销量迭到预定的目标。文章给出了求解这类隐式互补问题的直接迭代法，并给出了数值结果。

Model and Computation of a Kind of Price Adjustment Problem

Although the quantity of demand is a function of price, firms can only observe the value of demand under a fixed price level; however, in practice, they always cannot acquire the demand function directly. Thus, firms usually cannot take advantage of the demand function to adjust price for the purpose of strategic plan of market adjustment. This paper regards the price adjustment problem, which is intended to market strategic adjustment, as an implicit complementarity problem. In this model, firms might adjust prices of various products according to the business strategic objects of their own so that product sales after price adjustment could achieve scheduled objects. The article presents the direct iterative algorithm for this problem and provides numerical results.