Describing a procedure in which choice proceeds in a sequence, we propose two alternatives ways of resolving the decision problem whenever the outcome is sequence-sensitive. One way yields a rationalizable choice set, and the other way produces a weakly rationalizable choice set that is...

(Originally published in Journal of Mathematical Economics (1994) 23(5): 435-450) - This paper proposes a method of establishing the global univalence of a mapping without the assumption of continuity and the absence of points of inflection. When the functions are not continuous and the points...

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 short paper provides an alternative framework to axiomatize various binary preference relations such as semiorder, weak semiorder etc. A set of simple axioms is presented in terms of revealed-preferred and revealed-inferior alternatives which makes the connection between various binary...

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...