价格歧视有效性研究

The Study of the Effectiveness of Price Discrimination

提出完全垄断市场条件下价格歧视有效性的概念，分别给出了价格歧视条件下和单一价格条件下最优销售量、最优价格和最大利润的计算公式。证明了在价格歧视条件下的最大利润不小于在单一价格条件下的最大利润，即，还给出了和的充分必要条件，从理论上完整地解决了价格歧视的有效性问题。

This peper presents a new concept of effectiveness of price discrimination under perfect monopoly market,and gives the computing formulas of optimal sales,optimal prices and maximum profits under the conditions of price discrimination and single price. It is proved that,the maximum profit under the condition of price discrimination is not las than,the maximum profit under the condition of single price, that is. The sufficient and necessary condition of and are also given respectively. These new results completely resove the effectiveness problem of price discrimination. In this peper,it is proved theoreticly that the whole sale under the condition of price discrimination is the same as the whole sale under the condition of single price.