Abstract:
This research relies on the natural and widely used ranges of choice functions which are generated by non-clasical (nonpairwise-dominant) mechanisms of three basic types, "choice of $m$-best options by a criterial scale", "choice of the best $m$-totality by a criterial scale", and “choice by approval”. These choice functions are shown to be non-closed for a widely spread voting operator “identification of options which received more votes than the orhers”.
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