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Majority JudgmentMeasuring, Ranking, and Electing$
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Michel Balinski and Rida Laraki

Print publication date: 2011

Print ISBN-13: 9780262015134

Published to MIT Press Scholarship Online: August 2013

DOI: 10.7551/mitpress/9780262015134.001.0001

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Majority-Grade

Majority-Grade

Chapter:
(p.209) 12 Majority-Grade
Source:
Majority Judgment
Author(s):

Michel Balinski

Rida Laraki

Publisher:
The MIT Press
DOI:10.7551/mitpress/9780262015134.003.0012

This chapter focuses on the reasons why majority-grade is presented as the most appropriate of aggregation functions. Determining the final grade for practical and theoretical reasons, middlemost aggregation functions appear to be the best-suited choice as the functions avoid manipulation and agree with the majority. Narrowing of the choices to lower and upper middlemost aggregation functions leads to the inheritance of every good property of order functions. Properties singling out the majority grade include respecting consensus, Rawlsian criterion, and simplicity, among others. Problems establishing rank-orderings of candidates or alternatives determining final grades for an even number of judges are discussed.

Keywords:   majority-grade, aggregation functions, middlemost aggregation functions, Rawlsian criterion, consensus, rank-orderings

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