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.

翻译：本文探讨了一种场景：发送方提供信息策略，接收方在观察到该策略的实现后，决定是否采取特定行动（例如进行购买）。发送方的目标是通过接收方的行动最大化其自身效用，这通过精心选择信息策略来实现。基于Kleiner等人的工作，我们特别关注与底层域的权力图划分相关联的信息策略。为解决该问题，我们采用熵正则化最优传输方法，从而能够开发一种寻找最优解的高效算法。我们展示了实验数值结果，突出了最优配置的定性特性，为其结构提供了有价值的洞见。此外，我们扩展了数值研究，推导出垄断者在处理多种产品时的最优信息策略，其中发送方披露有关产品质量的信息。