Pouvoir mesuré et capacité d'un électeur à influencer le résultat du vote
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 classica...
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| Publicado no: | URI:https://journals.openedition.org/msh, |
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| Auteurs principaux: | , , |
| Formato: | Article ou chapitre numérique |
| Idioma: | Français |
| Publicado em: |
Mathématiques et sciences humaines
2006
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| Assuntos: | |
| Acesso em linha: | Accès Université d'Orléans et IFPM Accès Université d'Orléans et IFPM |
| Resumo: | 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]. |
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