Reformulating the Value Restriction and the Not-Strict Value Restriction in Terms of Possibility Preference Map
Theoretical Economics
2022-05-17 v1
Abstract
In social choice theory, Sen's value restriction and Pattanaik's not-strict value restriction are both attractive conditions for testing social preference transitivity and/or non-empty social choice set existence. This article introduces a novel mathematical representation tool, called possibility preference map (PPM), for weak orderings, and then reformulates the value restriction and the not-strict value restriction in terms of PPM. The reformulations all appear elegant since they take the form of minmax.
Keywords
Cite
@article{arxiv.2205.07400,
title = {Reformulating the Value Restriction and the Not-Strict Value Restriction in Terms of Possibility Preference Map},
author = {Fujun Hou},
journal= {arXiv preprint arXiv:2205.07400},
year = {2022}
}
Comments
The reformulations of VR and NSVR appear elegant since they all take the form of minmax