概率理性的经典
A Canon of Probabilistic Rationality
摘要：
我们证明了一个随机选择规则满足卢斯选择公理当且仅当它的支持是一个选择对应，满足显示偏好的弱公理，因此，它是由最佳的根据一些偏好的替代品，随机选择，然后发生根据领带打破这样的替代品，满足Renyi的条件公理。我们的结果表明，选择公理，在严格的形式意义上，弱公理的概率版本。因此，它支持卢斯的观点，即他自己的公理是“概率理性的准则”。"
英文摘要：
We prove that a random choice rule satisfies Luce's Choice Axiom if and only if its support is a choice correspondence that satisfies the Weak Axiom of Revealed Preference, thus it consists of alternatives that are optimal according to some preference, and random choice then occurs according to a tie breaking among such alternatives that satisfies Renyi's Conditioning Axiom. Our result shows that the Choice Axiom is, in a precise formal sense, a probabilistic version of the Weak Axiom. It thus supports Luce's view of his own axiom as a "canon of probabilistic rationality."
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。
