Nguyen, J;
(2019)
The limitations of the Arrovian consistency of domains with a fixed preference.
Theory and Decision
, 87
pp. 183-199.
10.1007/s11238-019-09702-x.
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Abstract
In this paper I investigate the properties of social welfare functions defined on domains where the preferences of one agent remain fixed. Such a domain is a degenerate case of those investigated, and proved Arrow consistent, by Sakai and Shimoji (Soc Choice Welf 26(3):435–445, 2006). Thus, they admit functions from them to a social preference that satisfy Arrow’s conditions of Weak Pareto, Independence of Irrelevant Alternatives, and Non-dictatorship. However, I prove that according to any function that satisfies these conditions on such a domain, for any triple of alternatives, if the agent with the fixed preferences does not determine the social preference on any pair of them, then some other agent determines the social preference on the entire triple.
| Type: | Article |
|---|---|
| Title: | The limitations of the Arrovian consistency of domains with a fixed preference |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.1007/s11238-019-09702-x |
| Publisher version: | https://doi.org/10.1007/s11238-019-09702-x |
| Language: | English |
| Additional information: | © The Author(s) 2019. This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/). |
| Keywords: | Social choice, Arrow, Fixed preferences, Restricted domains |
| UCL classification: | UCL UCL > Provost and Vice Provost Offices UCL > Provost and Vice Provost Offices > UCL SLASH UCL > Provost and Vice Provost Offices > UCL SLASH > Faculty of Arts and Humanities UCL > Provost and Vice Provost Offices > UCL SLASH > Faculty of Arts and Humanities > Dept of Philosophy |
| URI: | https://discovery.ucl.ac.uk/id/eprint/10073193 |
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