Some further results on nonbinary social choice
type: Item
instance of: scholarly article
title: Some further results on nonbinary social choice
zbMATH Open document ID: 0641.90012
DOI: 10.1007/BF00286868
published in: Social Choice and Welfare
publication date: 1987-01-01T00:00:00Z
review text: The theory of nonbinary social choice deals with cases where choice over two-element sets may not be possible. We extend the two main approaches to this problem, initiated respectively by \textit{P. C. Fishburn} [Rev. Econ. Stud. 41, 445-457 (1974; Zbl 0298.90007)] and \textit{D. M. Grether} and \textit{C. R. Plott} [ibid. 49, 143-149 (1982; Zbl 0477.90004)]. The difference between the two approaches lies essentially in the structure of the family of feasible sets of alternatives. Nonbinary versions of Arrow's General Possibility Theorem and of Gibbard's oligarchy result are established using weak feasibility conditions. The method of proof relies on deeper (fixed agenda) impossibility theorems.
Mathematics Subject Classification ID: 91B14
zbMATH DE Number: 4045435
zbMATH Keywords: nonbinary social choice
zbMATH Keywords: Arrow's General Possibility Theorem
zbMATH Keywords: Gibbard's oligarchy result
zbMATH Keywords: weak feasibility conditions
zbMATH Keywords: impossibility theorems
author: Vincenzo Denicolò
MaRDI profile type: Publication
cites work: Independent social choice correspondences are dictatorial
cites work: On Collective Rationality and a Generalized Impossibility Theorem
cites work: Nonbinary Social Choice: An Impossibility Theorem
cites work: Q3912303
cites work: General Possibility Theorems for Group Decisions
cites work: On non-binary social choice
cites work: Some impossibility results with domain restrictions
full work available at URL: https://doi.org/10.1007/bf00286868
OpenAlex ID: W2119771788
description: scientific article; zbMATH DE number 4045435