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Who should cast the casting vote? Using sequential voting to amalgamate information
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Alpern, Steve and Chen, Bo (2017) Who should cast the casting vote? Using sequential voting to amalgamate information. Theory and Decision, 83 (2). pp. 259-282. doi:10.1007/s11238-017-9593-0 ISSN 0040-5833.
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Official URL: http://doi.org/10.1007/s11238-017-9593-0
Abstract
In this study we are concerned with how agents can best amalgamate their private information about a binary state of Nature. The agents are heterogeneous in their "ability", the quality of their private information. The agents cannot directly communicate their private information but instead can only vote between the two states (say "Innocent" or "Guilty" on a criminal jury). We first describe possible methods of sequential majority voting, and then we analyze a particular one: the first n - 1 jurors vote simultaneously and, in the case of a tie, the remaining juror has the casting vote. We prove that when n = 3 (a common situation for a tribunal of three judges) the probability of a correct verdict is maximized when the agent of median ability has the casting vote.
| Item Type: | Journal Article | ||||||||
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| Subjects: | K Law [Moys] > KM Common Law, Public Law Q Science > QA Mathematics |
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| Divisions: | Faculty of Social Sciences > Warwick Business School > Operational Research & Management Sciences Faculty of Social Sciences > Warwick Business School |
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| Library of Congress Subject Headings (LCSH): | Verdicts -- Mathematical models, Jury, Jurors | ||||||||
| Journal or Publication Title: | Theory and Decision | ||||||||
| Publisher: | Springer Netherlands | ||||||||
| ISSN: | 0040-5833 | ||||||||
| Official Date: | 7 March 2017 | ||||||||
| Dates: |
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| Volume: | 83 | ||||||||
| Number: | 2 | ||||||||
| Page Range: | pp. 259-282 | ||||||||
| DOI: | 10.1007/s11238-017-9593-0 | ||||||||
| Institution: | University of Warwick | ||||||||
| Status: | Peer Reviewed | ||||||||
| Publication Status: | Published | ||||||||
| Access rights to Published version: | Open Access (Creative Commons) | ||||||||
| Date of first compliant deposit: | 27 February 2017 | ||||||||
| Date of first compliant Open Access: | 31 July 2017 | ||||||||
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