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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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New Model

New Model

Chapter:
(p.175) 9 New Model
Source:
Majority Judgment
Author(s):

Michel Balinski

Rida Laraki

Publisher:
The MIT Press
DOI:10.7551/mitpress/9780262015134.003.0009

This chapter presents a new basic model, which consists of a common language of evaluation, a set of judges, and a set of competitors. It expresses the problem of what to do with judges’ scores and how to resolve them into a single score in a concise or systematic way. The model identifies the shortcomings of traditional models of social choice theory and provides a new model as an alternative. Six axioms of the basic model are satisfied in a method of grading called social grading function f, in which there is no ambiguity in grading, and the final grade assigned to every single alternative is independent of all other alternatives. The deep preferences or utilities of a judge or a voter play an important role in voting and judging as every decision-maker tries to maximize his utility.

Keywords:   social choice theory, common language, social grading function, voting, judging

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