Optimal persuasion via bi‐pooling
引入双池化策略和双池化分布，证明任何区间状态空间上的贝叶斯说服问题都存在最优双池化分布解，为信息设计研究提供了新工具。
Mean‐preserving contractions are critical for studying Bayesian models of information design. We introduce the class of bi‐pooling policies , and the class of bi‐pooling distributions as their induced distributions over posteriors. We show that every extreme point in the set of all mean‐preserving contractions of any given prior over an interval takes the form of a bi‐pooling distribution. By implication, every Bayesian persuasion problem with an interval state space admits an optimal bi‐pooling distribution as a solution, and conversely, for every bi‐pooling distribution, there is a Bayesian persuasion problem for which that distribution is the unique solution.