标题： 说服作为转移 显示英文标题

标题： Persuasion as Transportation

摘要： 我们考虑一个具有一个知情发送者和多个不知情接收者的贝叶斯说服模型。 发送者可以通过私有信号影响接收者的信念，发送者的目的是取决于所诱导信念的组合。 我们将说服问题简化为最优运输的 Monge-Kantorovich 问题。 利用最优运输理论的见解，我们确定了几类多接收者问题，这些问题可以得到显式解，获得一般的结构结果，推导出价值的对偶表示，并将著名的价值凹化公式推广到多接收者问题。 显示英文摘要

摘要： We consider a model of Bayesian persuasion with one informed sender and several uninformed receivers. The sender can affect receivers' beliefs via private signals, and the sender's objective depends on the combination of induced beliefs. We reduce the persuasion problem to the Monge-Kantorovich problem of optimal transportation. Using insights from optimal transportation theory, we identify several classes of multi-receiver problems that admit explicit solutions, get general structural results, derive a dual representation for the value, and generalize the celebrated concavification formula for the value to multi-receiver problems.