NDLI: The paradox of grading systems

Content Provider	Springer Nature Link
Author	Brams, Steven J. Potthoff, Richard F.
Copyright Year	2016
Abstract	We distinguish between (i) voting systems in which voters can rank candidates and (ii) those in which they can grade candidates, using two or more grades. In approval voting, voters can assign two grades only—approve (1) or not approve (0)—to candidates. While two grades rule out a discrepancy between the average-grade winners, who receive the highest average grade, and the superior-grade winners, who receive more superior grades in pairwise comparisons (akin to Condorcet winners), more than two grades allow it. We call this discrepancy between the two kinds of winners the paradox of grading systems, which we illustrate with several examples and whose probability we estimate for sincere and strategic voters through a Monte Carlo simulation. We discuss the tradeoff between (i) allowing more than two grades, but risking the paradox, and (ii) precluding the paradox, but restricting voters to two grades.
Starting Page	193
Ending Page	210
Page Count	18
File Format	PDF
ISSN	00485829
Journal	Public Choice
Volume Number	165
Issue Number	3-4
e-ISSN	15737101
Language	English
Publisher	Springer US
Publisher Date	2016-01-07
Publisher Place	New York
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Voting and elections Grading systems Ranking systems Approval voting Condorcet winner Monte Carlo simulation Public Finance & Economics Political Science
Content Type	Text
Resource Type	Article
Subject	Sociology and Political Science Economics and Econometrics

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1	Ministry of Education (GoI), Department of Higher Education	Sanctioning Authority	https://www.education.gov.in/ict-initiatives
2	Indian Institute of Technology Kharagpur	Host Institute of the Project: The host institute of the project is responsible for providing infrastructure support and hosting the project	https://www.iitkgp.ac.in
3	National Digital Library of India Office, Indian Institute of Technology Kharagpur	The administrative and infrastructural headquarters of the project	Dr. B. Sutradhar bsutra@ndl.gov.in
4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
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