Routes and paths of comparison and choice

This paper studies aspects of sequential choice (and elimination) through the ‘routewise’ application of choice. (A choice is a mapping of the subsets of a set X into their respective subsets.) This approach sheds some further light on the ‘path-independence’ of choice, as well as on the logical structure of several rationality criteria for choice, as expressed through the properties of the comparison (or preference relation) revealed by a choice. The results bear particular relevance to the theory of collective choice. Copyright Martinus Nijhoff Publishers bv 1980