Two agents with a common prior on the possible states of the world participate in a process of information transmission, consisting of sharing posterior probabilities of an event of interest. Aumann’s Agreement Theorem implies that such a process must end with both agents having the same posterior probability. We show that the \(\ell _1\)-variation of the sequence of posteriors of each agent, obtained along this process, must be finite, and provide an upper bound for its value.

中文翻译：

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$$ \ ell _1 $$ℓ1-沿达成协议之路的变化的上限

在世界的可能状态上具有共同先验的两个主体参与信息传输过程，该过程由共享感兴趣事件的后验概率组成。Aumann的协议定理表明，这样的过程必须以具有相同后验概率的两个代理结束。我们表明，在此过程中获得的每个代理的后代顺序的\（\ ell _1 \）-变数必须是有限的，并为其值提供一个上限。