Single-peakedness and semantic dimensions of preferences

Authors
Daniele Porello
Free University Of Bozen-Bolzano
Abstract
Among the possible solutions to the paradoxes of collective preferences, single-peakedness is significant because it has been associated to a suggestive conceptual interpretation: a single-peaked preference profile entails that, although individuals may disagree on which option is the best, they conceptualize the choice along a shared unique dimension, i.e. they agree on the rationale of the collective decision. In this article, we discuss the relationship between the structural property of singlepeakedness and its suggested interpretation as uni-dimensionality of a social choice. In particular, we offer a formalization of the relationship between single-peakedness and its conceptual counterpart, we discuss their logical relations, and we question whether single-peakedness provides a rationale for collective choices.
Keywords Social choice theory  Deliberation  Preference aggregation  Single-peakedness  Unidimensionality  Semantics of preferences
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DOI 10.1093/jigpal/jzw026
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