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Decomposability and Strategy-proofness in Multidimensional Models
We introduce the notion of a multidimensional hybrid preference domain on a (finite) set of alternatives that is a Cartesian product of finitely many components.
A Taxonomy of Non-dictatorial Unidimensional Domains
The preference domains that constitute the classification are semi-single-peaked domains (introduced by Chatterji, Sanver, and Sen (2013)) and semi-hybrid domains (introduced here) which are two appropriate weakenings of single-peaked domains and are shown to allow strategy-proof rules to depend on non-peak information of voters' preferences; the canonical rules for these domains are the projection rule and the hybrid rule respectively.
Probabilistic Fixed Ballot Rules and Hybrid Domains
We study a class of preference domains that satisfies the familiar properties of minimal richness, diversity and no-restoration.
