Characterizations of the plurality function

Fred S. Roberts

doi:10.1016/0165-4896(91)90074-2

Characterizations of the plurality function

Fred S. Roberts

Research output: Contribution to journal › Article › peer-review

41 Scopus citations

Abstract

Suppose each of a group of 'experts' or 'voters', human or artificial, gives his or her first choice from among a set of alternatives A. A consensus function assigns to each such set of choices a subset of A called the group's consensus. The plurality function chooses for the consensus all alternatives that receive the largest number of first choices. We give several sets of axioms on a consensus function that characterize the plurality function and also investigate axioms for related consensus functions.

Original language	English (US)
Pages (from-to)	101-127
Number of pages	27
Journal	Mathematical social sciences
Volume	21
Issue number	2
DOIs	https://doi.org/10.1016/0165-4896(91)90074-2
State	Published - Apr 1991

All Science Journal Classification (ASJC) codes

Sociology and Political Science
General Social Sciences
General Psychology
Statistics, Probability and Uncertainty

Keywords

Plurality function
consensus function
group decisionmaking
merging function
plurality rule
social choice
social welfare function

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10.1016/0165-4896(91)90074-2

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title = "Characterizations of the plurality function",

abstract = "Suppose each of a group of 'experts' or 'voters', human or artificial, gives his or her first choice from among a set of alternatives A. A consensus function assigns to each such set of choices a subset of A called the group's consensus. The plurality function chooses for the consensus all alternatives that receive the largest number of first choices. We give several sets of axioms on a consensus function that characterize the plurality function and also investigate axioms for related consensus functions.",

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author = "Roberts, {Fred S.}",

note = "Funding Information: The author thanks the National Science Foundation for its support under grant number IRI-89-02125 to Rutgers University. He also thanks Janice Kim, Denise Sakai and Chi Wang for their helpful comments.",

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N2 - Suppose each of a group of 'experts' or 'voters', human or artificial, gives his or her first choice from among a set of alternatives A. A consensus function assigns to each such set of choices a subset of A called the group's consensus. The plurality function chooses for the consensus all alternatives that receive the largest number of first choices. We give several sets of axioms on a consensus function that characterize the plurality function and also investigate axioms for related consensus functions.

AB - Suppose each of a group of 'experts' or 'voters', human or artificial, gives his or her first choice from among a set of alternatives A. A consensus function assigns to each such set of choices a subset of A called the group's consensus. The plurality function chooses for the consensus all alternatives that receive the largest number of first choices. We give several sets of axioms on a consensus function that characterize the plurality function and also investigate axioms for related consensus functions.

KW - Plurality function

KW - consensus function

KW - group decisionmaking

KW - merging function

KW - plurality rule

KW - social choice

KW - social welfare function

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ER -

Characterizations of the plurality function

Abstract

All Science Journal Classification (ASJC) codes

Keywords

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