On random social choice functions with the tops-only property

We study the standard voting model with randomization. A Random Social Choice Function (or RSCF) satisfies the tops-only property if the social lottery under each preference profile depends only on the peaks of voters' preferences. We identify a general condition on domains of preferences (the...

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Main Authors: CHATTERJI, Shurojit, ZENG, Huaxia
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Language:English
Published: Institutional Knowledge at Singapore Management University 2018
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Online Access:https://ink.library.smu.edu.sg/soe_research/2156
https://ink.library.smu.edu.sg/context/soe_research/article/3156/viewcontent/RandomSocialChoice_Tops_onlyProperty_2018_am.pdf
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spelling sg-smu-ink.soe_research-31562018-02-22T06:44:44Z On random social choice functions with the tops-only property CHATTERJI, Shurojit ZENG, Huaxia We study the standard voting model with randomization. A Random Social Choice Function (or RSCF) satisfies the tops-only property if the social lottery under each preference profile depends only on the peaks of voters' preferences. We identify a general condition on domains of preferences (the Interior Property and the Exterior Property) which ensures that every strategy-proof RSCF satisfying unanimity has the tops-only property. We show that our condition applies to important classes of voting domains which include restricted connected domains (Sato, 2013) and the multi-dimensional single-peaked domain (Barberà et al., 1993). As an application of our result, we show that every ex-post efficient and strategy-proof RSCF defined on the multi-dimensional single-peaked domain is a random dictatorship. 2018-02-01T08:00:00Z text application/pdf https://ink.library.smu.edu.sg/soe_research/2156 info:doi/10.1016/j.geb.2017.11.011 https://ink.library.smu.edu.sg/context/soe_research/article/3156/viewcontent/RandomSocialChoice_Tops_onlyProperty_2018_am.pdf http://creativecommons.org/licenses/by-nc-nd/4.0/ Research Collection School Of Economics eng Institutional Knowledge at Singapore Management University Random Social Choice Functions Unanimity Strategy-proofness Tops-only Property Interior Property Exterior Property Economic Theory
institution Singapore Management University
building SMU Libraries
continent Asia
country Singapore
Singapore
content_provider SMU Libraries
collection InK@SMU
language English
topic Random Social Choice Functions
Unanimity
Strategy-proofness
Tops-only Property
Interior Property
Exterior Property
Economic Theory
spellingShingle Random Social Choice Functions
Unanimity
Strategy-proofness
Tops-only Property
Interior Property
Exterior Property
Economic Theory
CHATTERJI, Shurojit
ZENG, Huaxia
On random social choice functions with the tops-only property
description We study the standard voting model with randomization. A Random Social Choice Function (or RSCF) satisfies the tops-only property if the social lottery under each preference profile depends only on the peaks of voters' preferences. We identify a general condition on domains of preferences (the Interior Property and the Exterior Property) which ensures that every strategy-proof RSCF satisfying unanimity has the tops-only property. We show that our condition applies to important classes of voting domains which include restricted connected domains (Sato, 2013) and the multi-dimensional single-peaked domain (Barberà et al., 1993). As an application of our result, we show that every ex-post efficient and strategy-proof RSCF defined on the multi-dimensional single-peaked domain is a random dictatorship.
format text
author CHATTERJI, Shurojit
ZENG, Huaxia
author_facet CHATTERJI, Shurojit
ZENG, Huaxia
author_sort CHATTERJI, Shurojit
title On random social choice functions with the tops-only property
title_short On random social choice functions with the tops-only property
title_full On random social choice functions with the tops-only property
title_fullStr On random social choice functions with the tops-only property
title_full_unstemmed On random social choice functions with the tops-only property
title_sort on random social choice functions with the tops-only property
publisher Institutional Knowledge at Singapore Management University
publishDate 2018
url https://ink.library.smu.edu.sg/soe_research/2156
https://ink.library.smu.edu.sg/context/soe_research/article/3156/viewcontent/RandomSocialChoice_Tops_onlyProperty_2018_am.pdf
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