On eligibility by the de Borda voting rules
| dc.creator | Kiselev, V. Yu. | |
| dc.date | 2006-03-02 | |
| dc.date | 2006-06-26 | |
| dc.date.accessioned | 2026-07-07T07:06:26Z | |
| dc.date.available | 2026-07-07T07:06:26Z | |
| dc.description | We show that a necessary condition for eligibility of a candidate by the set of de Borda's voting rules in [H. Moulin (1988), Axioms of cooperative decision making] is not sufficient and we obtain a version of the criterion. Let $r(a_i)$ be the score vector of a candidate $a_i$, $R$ be the set of all vectors $r(a_i)$, and let $R'$ be the Pareto boundary of the convex hull $\conv R$. Then there is a scoring $s$ such that a candidate $a$ wins with respect to the de Borda voting rule $β_s$ if and only if $r(a)\in R'$. | |
| dc.description | 6 pages | |
| dc.identifier | https://arxiv.org/abs/math/0603039 | |
| dc.identifier | http://arxiv.org/abs/math/0603039 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/110026 | |
| dc.subject | Optimization and Control | |
| dc.subject | 91B12, 91B14, 91B10 | |
| dc.title | On eligibility by the de Borda voting rules | |
| dc.type | text |