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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.

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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 IrrelevantAlternatives, 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.


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Item Type: Published Article or Volume
Creators:
CreatorsEmailORCID
Nguyen, Jamesjames.nguyen@sas.ac.uk0000-0002-6919-1365
Keywords: Social choice Arrow Fixed preferences Restricted domains
Subjects: General Issues > Decision Theory
Specific Sciences > Economics
General Issues > Theory Change
Depositing User: James Nguyen
Date Deposited: 05 May 2019 00:32
Last Modified: 05 May 2019 00:32
Item ID: 15974
Journal or Publication Title: Theory and Decision
Publisher: Springer
Official URL: https://link.springer.com/article/10.1007/s11238-0...
DOI or Unique Handle: https://doi.org/10.1007/s11238-019-09702-x
Subjects: General Issues > Decision Theory
Specific Sciences > Economics
General Issues > Theory Change
Date: 2 May 2019
URI: https://philsci-archive-dev.library.pitt.edu/id/eprint/15974

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