论文标题
可行的联合后验信仰
Feasible Joint Posterior Beliefs
论文作者
论文摘要
我们研究了一组可能在二进制状态和观察某些信息结构的代理商的一组可能的联合后验信仰分布。对于两个代理商，我们引入了Aumann协议定理的定量版本，并表明它等同于Dawid等人引起的可行分布的表征。 （1995）。对于任何数量的代理，我们根据“无贸易”条件来表征可行的分布。我们使用这些特征来研究具有独立后代的信息结构。我们还研究了多个接收器的说服问题，探索了极端可行的分布。
We study the set of possible joint posterior belief distributions of a group of agents who share a common prior regarding a binary state, and who observe some information structure. For two agents we introduce a quantitative version of Aumann's Agreement Theorem, and show that it is equivalent to a characterization of feasible distributions due to Dawid et al. (1995). For any number of agents, we characterize feasible distributions in terms of a "no-trade" condition. We use these characterizations to study information structures with independent posteriors. We also study persuasion problems with multiple receivers, exploring the extreme feasible distributions.
