On $$\mathcal {S}$$ S -independence and Hansson’s external independence

Theory and Decision 79 (2):359-371 (2015)
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Abstract

This paper provides a generalized characterization of the family of independence conditions which are equivalent to independence of irrelevant alternatives by proposing a pair-based refinement of S\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\mathcal {S}$$\end{document}-independence. Equipped with the new result, the relation between external independence conditions and independence of irrelevant alternatives is explored.

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Social Choice and Individual Values.Irving M. Copi - 1952 - Science and Society 16 (2):181-181.
Social Choice and Individual Values.Kenneth Joseph Arrow - 1951 - New York, NY, USA: Wiley: New York.
Social choice and the arrow conditions.Allan F. Gibbard - 2014 - Economics and Philosophy 30 (3):269-284.
Independence of irrelevant alternatives revisited.Susumu Cato - 2014 - Theory and Decision 76 (4):511-527.

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