期望赌博集的极性理论
A polarity theory for sets of desirable gambles
摘要：
几乎合意赌博的相干集和信用集被认为是等价模型。也就是说，在两个集合之间存在一个双射，保留了通常的操作，例如条件作用。这种对应是基于闭凸锥的极性理论。从这个简单的观察学习，在本文中，我们介绍了一个新的（字典）极性理论一般凸锥，然后我们应用它，以建立一个类似的对应一致的理想赌博集和凸字典概率集。
英文摘要：
Coherent sets of almost desirable gambles and credal sets are known to be equivalent models. That is, there exists a bijection between the two collections of sets preserving the usual operations, e.g. conditioning. Such a correspondence is based on the polarity theory for closed convex cones. Learning from this simple observation, in this paper we introduce a new (lexicographic) polarity theory for general convex cones and then we apply it in order to establish an analogous correspondence between coherent sets of desirable gambles and convex sets of lexicographic probabilities.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
