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The limitations of the Arrovian consistency of domains with a fixed preference

Nguyen, James (2019) The limitations of the Arrovian consistency of domains with a fixed preference. Theory and Decision, 87 (2). pp. 183-199. ISSN 1573-7187

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Identification Number: 10.1007/s11238-019-09702-x

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.

Item Type: Article
Additional Information: © 2019 The Author
Divisions: Philosophy, Logic and Scientific Method
Subjects: H Social Sciences > H Social Sciences (General)
Date Deposited: 09 May 2019 10:18
Last Modified: 18 Jan 2020 00:26
URI: http://eprints.lse.ac.uk/id/eprint/100747

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