Majority judgment over a convex candidate space

Most voting methods can only deal with a finite number of candidates. In practice, there are important voting applications where the candidate space is continuous. We describe a new voting method by extending the Majority Judgment voting and ranking method to handle a continuous candidate space whic...

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Main Authors: Yan, Chiwei, Swaroop, Prem, Ball, Michael O., Barnhart, Cynthia, Vaze, Vikrant
Other Authors: Massachusetts Institute of Technology. Operations Research Center
Format: Article
Language:English
Published: Elsevier BV 2020
Online Access:https://hdl.handle.net/1721.1/126492
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author Yan, Chiwei
Swaroop, Prem
Ball, Michael O.
Barnhart, Cynthia
Vaze, Vikrant
author2 Massachusetts Institute of Technology. Operations Research Center
author_facet Massachusetts Institute of Technology. Operations Research Center
Yan, Chiwei
Swaroop, Prem
Ball, Michael O.
Barnhart, Cynthia
Vaze, Vikrant
author_sort Yan, Chiwei
collection MIT
description Most voting methods can only deal with a finite number of candidates. In practice, there are important voting applications where the candidate space is continuous. We describe a new voting method by extending the Majority Judgment voting and ranking method to handle a continuous candidate space which is modeled as a convex set. We characterize the structure of the winner determination problem and present a practical iterative voting procedure for finding a (or the) winner when voter preferences are unknown.
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spelling mit-1721.1/1264922022-10-01T03:54:29Z Majority judgment over a convex candidate space Yan, Chiwei Swaroop, Prem Ball, Michael O. Barnhart, Cynthia Vaze, Vikrant Massachusetts Institute of Technology. Operations Research Center Massachusetts Institute of Technology. Department of Civil and Environmental Engineering Most voting methods can only deal with a finite number of candidates. In practice, there are important voting applications where the candidate space is continuous. We describe a new voting method by extending the Majority Judgment voting and ranking method to handle a continuous candidate space which is modeled as a convex set. We characterize the structure of the winner determination problem and present a practical iterative voting procedure for finding a (or the) winner when voter preferences are unknown. 2020-08-06T19:26:25Z 2020-08-06T19:26:25Z 2019-07 2019-04 2020-07-29T16:17:47Z Article http://purl.org/eprint/type/JournalArticle 0167-6377 https://hdl.handle.net/1721.1/126492 Yan, Chiwen et al. "Majority judgment over a convex candidate space." Operations Research Letters 47, 4 (July 2019): 317-325 © 2019 Elsevier B.V. en 10.1016/j.orl.2019.04.009 Operations Research Letters Creative Commons Attribution-NonCommercial-NoDerivs License http://creativecommons.org/licenses/by-nc-nd/4.0/ application/pdf Elsevier BV Prof. Barnhart via Elizabeth Soergel
spellingShingle Yan, Chiwei
Swaroop, Prem
Ball, Michael O.
Barnhart, Cynthia
Vaze, Vikrant
Majority judgment over a convex candidate space
title Majority judgment over a convex candidate space
title_full Majority judgment over a convex candidate space
title_fullStr Majority judgment over a convex candidate space
title_full_unstemmed Majority judgment over a convex candidate space
title_short Majority judgment over a convex candidate space
title_sort majority judgment over a convex candidate space
url https://hdl.handle.net/1721.1/126492
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AT vazevikrant majorityjudgmentoveraconvexcandidatespace