Smooth social choice
type: Item
instance of: scholarly article
title: Smooth social choice
zbMATH Open document ID: 0678.90005
DOI: 10.1016/0895-7177(89)90414-7
author: Norman Schofield
published in: Mathematical and Computer Modelling
publication date: 1989-01-01T00:00:00Z
review text: This paper surveys results on the existence of a core of a voting rule under various specification of the space of alternatives. Let W be this space and n, the Nakamura number. When W is finite, there exists a core if and only if the cardinality of W is less than or equal to n-1. If W lies in a vector space of dimension dim(W), then there is a core if and only if dim(W) is less than or equal to n-2. For higher dimensional W, voting is generically chaotic, in the sense that voting cycles fill almost all of W.
Mathematics Subject Classification ID: 91B14
zbMATH DE Number: 4112331
zbMATH Keywords: smooth social choice
zbMATH Keywords: chaos
zbMATH Keywords: core
zbMATH Keywords: voting rule
zbMATH Keywords: Nakamura number
zbMATH Keywords: voting cycles
MaRDI profile type: Publication
full work available at URL: 0895-7177(89)90414-7
OpenAlex ID: W2030272054
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description: scientific article; zbMATH DE number 4112331