Pouvoir mesuré et capacité d'un électeur à influencer le résultat du vote
Abstracts
We study the power relation ≥ P. This binary relation on the set of voters was used in [Diffo Lambo, Moulen, 2000] to show that the Taylor’s influence relation ≥ T appraises the voter’s capacity of influencing the voting outcome when individual preference relations are linear orders, if the classical dominance stands for the social outcome and the Kendal’s distance is the means of measuring a voter’s dissatisfaction. In this paper, the definition of ≥P is extended in two directions: on the one hand, dissatisfaction is measured by any distance (apart from the Kendal’s distance), and on the other hand, the domain of individual preference relations has no restriction (it may contain complete weak orders apart from complete linear orders). The above mentioned result on ≥ T now being at times wrong, we come out with a sufficient condition under which ≥ T actually appraises the voter’s capacity of influencing the voting outcome. Moreover we succeed, thanks to this highly unifying condition, in generalizing all the other results of [Diffo Lambo, Moulen, 2000].
Index terms
Keywords :
indice de pouvoir, jeu simple, relation d'influence, relation de performance, relation de puissanceReferences
Electronic reference
Lawrence Diffo Lambo, Bertrand Tchantcho and Joël Moulen, “Pouvoir mesuré et capacité d'un électeur à influencer le résultat du vote”, Mathématiques et sciences humaines [Online], 166 | Été 2004, Online since 05 March 2006, connection on 11 September 2026. URL: http://journals.openedition.org/msh/2896; DOI: https://doi.org/10.4000/msh.2896
Top of pageAbout the authors
Lawrence Diffo Lambo
IDREF : https://idref.fr/05805622X
VIAF : http://viaf.org/viaf/263901082
ISNI : https://isni.org/isni/0000000382208034
BNF : http://data.bnf.fr/ark:/12148/cb13751858k
By this author
-
Quel pouvoir mesure-t-on dans un jeu de vote ? [Full text]What power is measured in a voting game?Published in Mathématiques et sciences humaines, 152 | Hiver 2000
Bertrand Tchantcho
Joël Moulen
- IDREF : https://idref.fr/05805619X
- VIAF : http://viaf.org/viaf/264608844
- ISNI : https://isni.org/isni/0000000382480273
- BNF : http://data.bnf.fr/ark:/12148/cb126272097
By this author
-
Quel pouvoir mesure-t-on dans un jeu de vote ? [Full text]What power is measured in a voting game?Published in Mathématiques et sciences humaines, 152 | Hiver 2000
-
Agrégation des préférences, choix collectif et constitution généralisée binairePublished in Mathématiques et sciences humaines, 163 | Automne 2003
Copyright
The text and other elements (illustrations, imported files) are “All rights reserved”, unless otherwise stated.
Top of page
RSS feed