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Identifier to cite or link to this item: https://hdl.handle.net/10086/28978

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Title
Robust Voting under Uncertainty
Creator
Creator Name
NAKADA, Satoshi NAKADA, Satoshi
Affiliation
Affiliation Name
Hitotsubashi University
Creator Name
NITZAN, Shmuel NITZAN, Shmuel
Affiliation
Affiliation Name
Bar-Ilan University
Affiliation
Affiliation Name
Hitotsubashi University
Creator Name
UI, Takashi UI, Takashi
宇井, 貴志 宇井, 貴志
Affiliation
Affiliation Name
Hitotsubashi University
Editor
Contributor Name
Hitotsubashi Institute for Advanced Study, Hitotsubashi University
Key Word
majority rule
weighted majority rule
responsiveness
Knightian uncertainty
JEL
D71
D81
Abstract
This paper proposes normative consequentialist criteria for voting rules under Knightian uncertainty about individual preferences to characterize a weighted majority rule (WMR). The criteria stress the significance of responsiveness, i.e., the probability that the social outcome coincides with the realized individual preferences. A voting rule is said to be robust if, for any probability distribution of preferences, responsiveness of at least one individual is greater than one-half. Our main result establishes that a voting rule is robust if and only if it is a WMR without ties. This characterization of a WMR avoiding the worst possible outcomes complements the well-known characterization of a WMR achieving the optimal outcomes, i.e., efficiency regarding responsiveness.
Publisher
Hitotsubashi Institute for Advanced Study, Hitotsubashi University
Issued Date
2017-12
Language
English(eng)
Resource Type
technical report
Version Type
VoR
Is Part OfRelation -
Related Title
Discussion paper series ; No. HIAS-E-60
Number of Pages
22
Appears in Collections
Discussion paper series / Hitotsubashi Institute for Advanced Study, Hitotsubashi University
URL
https://hdl.handle.net/10086/28978