论文标题
概括Aumann的协议定理
Generalising Aumann's Agreement Theorem
论文作者
论文摘要
奥曼（Aumann）的著名定理说，如果这些代理人对他们的后代有共同的知识，那么一群曾经共享共同先验概率分布的代理人就无法将不同的后代分配给给定的命题。换句话说，理性的代理人不能同意不同意。 Aumann的协议定理是决策理论中常识的正式和探索作用的首次尝试。最近，我们看到了围绕奥曼结果的可能（量子）扩展的辩论重新铺面。本文有助于此讨论。首先，正如预期的那样，我们认为同意在量子理论中是不可能的。其次，基于量子论点，我们表明在任何一般性概率理论中也禁止同意不同意。
Aumann's celebrated theorem says that a group of agents who once shared a common prior probability distribution cannot assign different posteriors to a given proposition, should these agents have common knowledge about their posteriors. In other words, rational agents cannot agree to disagree. Aumann's agreement theorem was one of the first attempts to formalise and explore the role played by common knowledge in decision theory. Recently, we have seen a resurfacing of the debate around possible (quantum) extensions of Aumann's results. This paper contributes to this discussion. First, as expected, we argue that agreeing to disagree is impossible in quantum theory. Secondly, and based on the quantum argument, we show that agreeing to disagree is also forbidden in any generalised probability theory.
