This paper provides a simple axiomatic foundation of rational choice when the indifference relation is not necessarily transitive. Utilizing a notion of revealed preference relation, which says that an alternative x is revealed preferred to an alternative y whenever x is chosen while y is...

We present a general revealed preference theorem concerning stochastic choice behavior by consumers. We show that, when the consumer spends her entire wealth, the Weak Axiom of Stochastic Revealed Preference due to Bandyopadhyay, Dasgupta, and Pattanaik (1999) is equivalent to a restriction on...

This paper is concerned with the axiomatic foundation of the theory of choice. Describing a choice procedure which one often observes in real life, the author shows that the requirement of path independence of such a procedure is a necessary and sufficient condition for transitive or full...