凸利润函数定价法及其在软件产品销售中的应用

给出基于凸利润函数模型的商品定价方法.首先,在凸利润函数的条件下,给出需求函数,需求最大价和利润最大价的计算,证明了多种价格并存销售弱于单一平均价格;其次,在由凸利润函数定义的凸分布模型下,给出了期望价格的计算和利润最大价的估计,并通过定义价格的可调性,证明了利润最大价的可调性大于需求最大价;最后,将所得结果应用于软件产品的销售,提出了利润次优的和效益长久的定价策略.

A Convex Profit Function - based Pricing Method:Application to the Sale of Software Products

A convex profit function-based pricing method is given for the commodity.At first,under the condition of convex profit function model,the function of demand,the price with maximal demand and the price with maximal profit are computed.It is proved that the sale of commodity with many prices together is less than their averaging price.Second,under the condition of a convex distribution defined by the convex profit function,the expectation price is computed.The price with maximal profit is also estimated.By defining the adjustability of price,it is proved that the adjustment of the price with maximal profit is larger than the price with maximal demand.Finally,the results are applied to the sale of software products.A pricing strategy with sub-optimal and long profits is given.