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...
Main Authors: | , , , , |
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Format: | Article |
Language: | English |
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Elsevier BV
2020
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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. |
first_indexed | 2024-09-23T11:28:27Z |
format | Article |
id | mit-1721.1/126492 |
institution | Massachusetts Institute of Technology |
language | English |
last_indexed | 2024-09-23T11:28:27Z |
publishDate | 2020 |
publisher | Elsevier BV |
record_format | dspace |
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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