This paper introduces the study of learning curves for revenue maximization, focusing on the scenario of a single item and a single buyer. The research demonstrates that while a Bayes-consistent algorithm can achieve zero error for any valuation distribution as sample size increases, this convergence can be arbitrarily slow. However, if the optimal revenue is obtained through a finite price, the learning curve decay rate approaches $1/\sqrt{n}$. For distributions on discrete values, the paper shows an almost exponential decay rate, surpassing the PAC framework's limitations. AI
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IMPACT Introduces new theoretical bounds for learning curves in revenue maximization, potentially impacting algorithmic pricing strategies.
RANK_REASON Academic paper introducing a new theoretical framework for learning curves in revenue maximization.