We examine the maximal-element rationalizability of choice functions with arbitrary domains. While rationality formulated in terms of the choice of greatest elements according to a rationalizing relation has been analyzed relatively thoroughly in the earlier literature, this is not the case for...

We examine the maximal-element rationalizability of choice functions with arbitrary domains. While rationality formulated in terms of the choice of greatest elements according to a rationalizing relation has been analyzed relatively thoroughly in the earlier literature, this is not the case for...

We examine the maximal-element rationalizability of choice functions with arbitrary do-mains. While rationality formulated in terms of the choice of greatest elements according to a rationalizing relation has been analyzed relatively thoroughly in the earlier litera-ture, this is not the case...

A choice function is \textit{list rational(izable)}, if there is a fixed \textit{list} such that for each \textit{choice set}, successive comparison of the alternatives by following the \textit{list} retrieves the chosen alternative. We extend the formulation of list rationality to stochastic...

This paper is concerned with the axiomatic foundation of the revealed preference theory. Many well-known results in literature rest upon the ability to choose over budget sets that contains only 2 or 3 elements, the situations which are not observable in real life. In order to give a more...

This paper is concerned with the axiomatic foundation of the revealed preference theory. Many well-known results in the literature rest upon the ability to choose over budget sets that contain only 2 or 3 elements. This paper shows that for any given choice function, many of the famous...