The classical problem of the monopolist faced with an unknown demand curve is considered in a simple stochastic setting. Sequential pricing strategies designed to maximize discounted profits are shown to converge sufficiently rapidly that they leave the monopolist ignorant about all but the most local features of demand. The failure of the monopolist to 'learn' his demand curve would seem to call into question some standard assumptions about agents’ grasp of their economic environment.

中文翻译：

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无知的垄断者redux

在简单的随机情况下，考虑了面临未知需求曲线的垄断者的经典问题。旨在最大化折现利润的顺序定价策略已显示出足够迅速的收敛，以至于垄断者对需求的最局部特征一无所知。垄断者无法“学习”他的需求曲线似乎使人们对代理商对他们的经济环境的掌握的一些标准假设提出质疑。