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Contribution à l'étude des axiomes du choix social : la symétrie inverse et l'homogénéité des procédures de vote

Abstract : The contribution of this thesis lies in the evaluation of the vulnerability of a number of voting rules to the violationof two properties of the theory of social choice. We rely on the axiomatic approach of social choice theory to examinethe behavior of a social choice procedure according to a value judgment (or axiom) emitted by the economist.Reversal symmetry is the first property studied. Following the works of Saari [150], we evaluate two families ofvoting by using this property as the decision criterion : the simple scoring rules on the one hand, and the scoringrules with runoff on the other hand. We do probability calculations to evaluate how frequent this phenomenon is,in the three-candidate case under universal domain as well as under a restricted domain, and we also tackle thefour-candidate case and the infinite number of voters case.The second topic is devoted to the study of the Dodgsonrule according to the homogeneity axiom. We introduce a simple and systematic method for the computation ofthe Dodgson score. We distinguish various classes of profiles at which that rule may be vulnerable to this property.Further, frequencies of violation of this property by the Dodgson rule are provided.
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  • HAL Id : tel-02001213, version 1

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Raouia Belayadi. Contribution à l'étude des axiomes du choix social : la symétrie inverse et l'homogénéité des procédures de vote. Economies et finances. Normandie Université, 2018. Français. ⟨NNT : 2018NORMC020⟩. ⟨tel-02001213⟩

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