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2015 | OriginalPaper | Chapter

Single-Profile Choice Functions and Variable Societies: Characterizing Approval Voting

Authors : Hanji Wu, Yongsheng Xu, Zhen Zhong

Published in: Individual and Collective Choice and Social Welfare

Publisher: Springer Berlin Heidelberg

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Abstract

We study approval voting in a setting with a fixed profile of individuals’ choices and variable societies. Four properties each linking choices made by a group of individuals to choices by its various subgroups are introduced, and are used for characterizing approval voting.

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previous chapter Minimal Maskin Monotonic Extensions of Tournament Solutions
next chapter Nondictatorial Arrovian Social Welfare Functions: An Integer Programming Approach
Literature
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Baigent N, Xu Y (1991) Independent, necessary and sufficient conditions for approval voting. Math Soc Sci 21:21–29CrossRef
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Fine B, Fine K (1974) Social choice and individual ranking II. Rev Econ Stud 41:459–475CrossRef
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Fishburn P (1978) Axioms for approval voting: direct proof. J Econ Theory 19:180–185CrossRef
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Fishburn P (1978) Symmetric and consistent aggregation with dichotomous preferences. In: Laffont J (ed) Aggregation and revelation of preferences. North- Holland, Amsterdam
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8.
Smith J (1973) Aggregation of preferences with variable electorate. Econometrica 41:1027–1041CrossRef
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Xu Y (2010) Axiomatizations of approval voting, Chap 5. In: Laslier J-F, Remzi Sanver M (eds) Handbook on approval voting. Springer, New York
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Xu Y, Zhong Z (2010) Single profile of preferences with variable societies: a characterization of simple majority rule. Econ Lett 107:119–121CrossRef
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Young HP (1974) An axiomatization of Borda’s rule. J Econ Theory 9:43–52CrossRef
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Young HP (1975) Social choice scoring functions. SIAM J App Math 28:824–838CrossRef
Metadata
Title
Single-Profile Choice Functions and Variable Societies: Characterizing Approval Voting
Authors
Hanji Wu
Yongsheng Xu
Zhen Zhong
Copyright Year
2015
Publisher
Springer Berlin Heidelberg
Book
Individual and Collective Choice and Social Welfare

Print ISBN: 978-3-662-46438-0

Electronic ISBN: 978-3-662-46439-7

Copyright Year: 2015

DOI
https://doi.org/10.1007/978-3-662-46439-7_9

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