Dominance in Spatial Voting with Imprecise Ideals: A New Characterization of the Yolk

Mathieu Martin, Zéphirin Nganmeni and Craig A. Tovey ()
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Craig A. Tovey: Université de Cergy-Pontoise, THEMA

No 2019-02, THEMA Working Papers from THEMA (THéorie Economique, Modélisation et Applications), Université de Cergy-Pontoise

Abstract: We introduce a dominance relationship in spatial voting with Euclidean preferences, by treating voter ideal points as balls of radius δ. Values δ > 0 model imprecision or ambiguity as to voter preferences, or caution on the part of a social planner. The winning coalitions may be any consistent monotonic collection of voter subsets. We characterize the minimum value of δ for which the δ-core, the set of undominated points, is nonempty. In the case of simple majority voting, the core is the yolk center and δ is the yolk radius. Thus the δ-core both generalizes and provides a new characterization of the yolk. We then study relationships between the δ-core and two other concepts: the Ɛ-core and the finagle point. We prove that every fi nagle point must be within 2.32472 yolk radii of every yolk center, in all dimensions m ≥ 2.

Keywords: Spatial voting; dominance; core; yolk; fi nagle. (search for similar items in EconPapers)
JEL-codes: C62 C70 D71 D72 (search for similar items in EconPapers)
Date: 2019
New Economics Papers: this item is included in nep-cdm, nep-gth, nep-pol and nep-upt
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Persistent link: https://EconPapers.repec.org/RePEc:ema:worpap:2019-02

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