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 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]

Binary relation · Combinatorics · Discrete mathematics · Economics · Mathematical economics · Political science · Politics · Preference · Statistics · Voting · Weighted voting · Welfare economics · Computer Science · Game Theory and Voting Systems · Law · Mathematics