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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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Meaningfulness

Meaningfulness

Chapter:
(p.199) 11 Meaningfulness
Source:
Majority Judgment
Author(s):

Michel Balinski

Rida Laraki

Publisher:
The MIT Press
DOI:10.7551/mitpress/9780262015134.003.0011

This chapter focuses on the importance of keeping the grade language simple, with common and absolute meaning that could be understood by all judges passing judgment for the grades. Reinforcement of social grading function (SGF) with aggregation function f is described through a theorem along with natural generalization of unanimity property. The importance of language consistency for grading is discussed via order functions. Preservation of two aggregation comparisons under continuous transformation is presented, which helps maintain SGF’s significance. Final outcomes of grades need not change if the order is consistently preserved in transformation of one language to another language.

Keywords:   grade language, absolute meaning, social grading function, language consistency, language transformation

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