标题： 信息设计中的熵正则化最优传输 显示英文标题

标题： Entropy-Regularized Optimal Transport in Information Design

摘要： 在本文中，我们探讨了一个场景，其中发送者提供一个信息策略，接收者在观察到该策略的一个实现后，决定是否采取特定行动，例如进行购买。 发送者的目的是最大化她从接收者行动中获得的效用，并通过精心选择信息策略来实现这一目标。 在Kleiner等人工作的基础上，我们的研究重点是与底层域的功率图划分相关的信息策略。 为了解决这个问题，我们采用熵正则化最优传输，这使我们能够开发出一种高效的算法来找到最优解。 我们展示了实验数值结果，突出了最优配置的定性特性，提供了对其结构的有价值的见解。 此外，我们将数值研究扩展到推导垄断者在处理多种产品时的最优信息策略，其中发送者披露产品品质的信息。 显示英文摘要

摘要： In this paper, we explore a scenario where a sender provides an information policy and a receiver, upon observing a realization of this policy, decides whether to take a particular action, such as making a purchase. The sender's objective is to maximize her utility derived from the receiver's action, and she achieves this by careful selection of the information policy. Building on the work of Kleiner et al., our focus lies specifically on information policies that are associated with power diagram partitions of the underlying domain. To address this problem, we employ entropy-regularized optimal transport, which enables us to develop an efficient algorithm for finding the optimal solution. We present experimental numerical results that highlight the qualitative properties of the optimal configurations, providing valuable insights into their structure. Furthermore, we extend our numerical investigation to derive optimal information policies for monopolists dealing with multiple products, where the sender discloses information about product qualities.