Revealed Preference Theory, Ordering and the Axiom of Sequential Path Independence
研究选择理论的公理基础，证明一种常见选择程序的路径独立性条件是选择函数可被偏好排序完全合理化的充要条件，并适用于不同显示偏好关系。
This paper is concerned with the axiomatic foundation of the theory of choice. Describing a choice procedure which one often observes in real life, this paper shows that the requirement of path independence of such a procedure is a necessary and sufficient condition for transitive or full rationalization of a choice function, i.e. the existence of a preference ordering. It is shown that our result holds when rationality is identified with different interpretations of the binary relations of preference revealed by a choice function, e.g. the revealed preference relation of Arrow, the wide revealed preference relation of Richter. It is also shown that a weaker version of our path independence condition is both necessary and sufficient for a rational choice.