Some impossibility results with domain restrictions
type: Item
instance of: scholarly article
title: Some impossibility results with domain restrictions
zbMATH Open document ID: 0598.90008
DOI: 10.1016/0022-0531(86)90086-4
author: Santosh C. Panda
published in: Journal of Economic Theory
publication date: 1986-01-01T00:00:00Z
review text: The structure of power is examined in the Social Choice Function (SCF) framework when the domain of the SCF admits sets containing at least k elements, where k is any positive integer less than the number of alternatives in the universal set. In particular, when \(k>2\), pairs of alternatives are not included in the domain so that the existence of the ''base relation'' is not guaranteed and hence the usual proof of Arrow type impossibility results are no longer available. However, it is shown that most of the major Arrow type impossibility results reappear even when the domain is restricted in the above fashion.
Mathematics Subject Classification ID: 91B14
zbMATH DE Number: 3965761
zbMATH Keywords: domain restrictions
zbMATH Keywords: structure of power
zbMATH Keywords: impossibility results
MaRDI profile type: Publication
full work available at URL: 0022-0531(86)90086-4
OpenAlex ID: W1975706947
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description: scientific article; zbMATH DE number 3965761