标题： 可行的条件信念分布 显示英文标题

标题： Feasible Conditional Belief Distributions

摘要： 代理对未知状态接收私有信号。 结果的联合信念分布是复杂的，且缺乏简单的描述。 我们的关键洞察是，当条件化于状态时，信念分布的结构会简化：可行性约束仅限制个体代理在不同状态下的边缘分布，而同一状态下没有联合约束。 我们将这一洞察应用于多接收者说服问题，识别出新的可处理情况，并引入最优运输和对偶工具。 显示英文摘要

摘要： Agents receive private signals about an unknown state. The resulting joint belief distributions are complex and lack a simple characterization. Our key insight is that, when conditioned on the state, the structure of belief distributions simplifies: feasibility constrains only the marginal distributions of individual agents across states, with no joint constraints within a state. We apply this insight to multi-receiver persuasion, identifying new tractable cases and introducing optimal transportation and duality tools.