n个厂商二元市场三度价格歧视的纳什均衡

Nash Equilibrium of Third-Degree Price Discrimination under the Condition of n Enterprises with 2 Sub Markets

对n个厂商2元市场用完全信息静态博弈的方法,分析了实施三度价格歧视情形和统一定价情形的均衡产量,均衡价格和均衡总收益,并研究了这两种情形三个指标之间的关系。结果显示,在两个子市场的需求函数为线性需求的条件下,统一定价的市场均衡产量等于歧视定价的市场均衡产量;统一定价的均衡价格是歧视定价时两个子市场均衡价格的加权平均;统一定价的市场均衡总收益小于歧视定价的市场均衡总收益。

Equilibrium output ,equilibrium price and equilibrium total revenue in the case of implementing third -degree price discrimina-tion and unified pricing were analyzed under the condition of n enterprises with 2 sub markets by complete information static game method , and the relationship between the three indexes of the two cases were studied .The results showed that ,under the condition of linear demand functions of the two sub markets ,the equilibrium output of unified pricing was equal to the equilibrium output of discriminative pricing ;the equilibrium price of unified pricing was weighted average of the equilibrium prices of 2 sub markets while discriminative pricing ;the equilib-rium total revenue of unified pricing was less than the equilibrium total revenue of discriminative pricing .