论文标题
概率合理性的佳能
A Canon of Probabilistic Rationality
论文作者
论文摘要
我们证明，随机选择规则在且仅当其支持是满足揭示的偏好弱公理时才满足Luce的选择公理，因此，它由根据某种偏好的最佳选择而组成，然后根据替代方案之间的平局进行随机选择，以满足Renyi的条件条件公理的折断。我们的结果表明，从精确的正式意义上讲，选择公理是弱公理的概率版本。因此，它支持了卢斯（Luce）对自己的公理的看法，作为“概率理性的典范”。
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."
