Nguyen, James (2019) The limitations of the Arrovian consistency of domains with a fixed preference. Theory and Decision.
|
Text
Nguyen-2019-Theory_and_Decision.pdf Download (1MB) | Preview |
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.
| Export/Citation: | EndNote | BibTeX | Dublin Core | ASCII/Text Citation (Chicago) | HTML Citation | OpenURL |
| Social Networking: |
| Item Type: | Published Article or Volume | ||||||
|---|---|---|---|---|---|---|---|
| Creators: |
|
||||||
| 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.pitt.edu/id/eprint/15974 |
Monthly Views for the past 3 years
Monthly Downloads for the past 3 years
Plum Analytics
Altmetric.com
Actions (login required)
 |
View Item |
![[feed]](http://philsci-archive.pitt.edu/style/images/feed-icon-32x32.png){kind=icon}