Introducing A Threshold To Condorcet Improvement

[ABSTRACT]For the case of three alternatives, an elementary extension of the system of axioms for the Condorcet Improvement is presented in order to expand the indecision region for pairwise voting vectors beyond uniform cycles, The resulting modification of the Condorcet Improvement criterion on pairwise votes is derived. The Condorcet Improvement is the decision criterion on pairwise voting vectors which modifies the Condorcet winner criterion by expanding winner regions over cyclic votes in a manner that the intensity of preference on a pair of alternatives by voters is reflected. In the extension, an axiom is added to eliminate a small influence by a particular type of perturbation on cyclic profiles that intends to discriminates against an alternative by dropping it from the set of candidates for a winner by the Condorcet Improvement. A threshold is used in this axiom in order to identify such a small influence. Graphically in the space of pairwise votes, the extension makes the indecision region to be a triangular swelling of the line segment that is the indecision region of the Condorcet Improvement without a threshold. The winner regions are reduced by eliminating pairwise voting vectors that belong to the expanded indecision region. This article is an abbreviated presentation of the main result in Kaneko (2016).

https://opac.ll.chiba-u.jp/da/curator/107880/

https://opac.ll.chiba-u.jp/da/curator/107880/ceresIntlSympo-24-P525.pdf

Chiba University. Center for Environmental Remote Sensing

千葉大学環境リモートセンシング研究センター

会議発表用資料

Proceedings of the CEReS international symposium = CEReS国際シンポジウム資料集

24

525

531

2016-11-21

publisher

環境リモートセンシング研究センター「CEReSシンポジウム資料集」