Econ Papers Daily / 期刊论文
贝叶斯p(h)ooling：二次贝叶斯说服中的最优池化结构
Bayesian p(h)ooling: Optimal pooling structure in quadratic Bayesian persuasion
摘要
We study Bayesian persuasion where the sender and receiver incur quadratic losses from deviating from their state-dependent bliss actions. Misalignment is captured by a flexible function mapping the sender’s bliss action to the receiver’s in each state of the world. We focus on the state-pooling structure of the optimal signal—that is, which subset of states is revealed by a signal realization—and show how it is shaped by the form of misalignment. We provide a method that yields a tight, prior-independent upper bound on the optimal pooling structure.
中文摘要
我们研究贝叶斯说服问题，其中发送方和接收方因偏离其依赖于状态的理想行动而产生二次损失。错位由一种灵活函数刻画，该函数在每个世界状态下将发送方的理想行动映射为接收方的理想行动。我们关注最优信号的状态池化结构——即某一信号实现所揭示的是哪个状态子集——并展示该结构如何由错位形式所塑造。我们提供一种方法，可得到关于最优池化结构的紧致且与先验无关的上界。