A general concept of majority rule

Michel Regenwetter; A. A.J. Marley; Bernard Grofman

doi:10.1016/S0165-4896(02)00021-5

A general concept of majority rule

Michel Regenwetter, A. A.J. Marley, Bernard Grofman

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

Abstract

We develop a general concept of majority rule for finitely many choice alternatives that is consistent with arbitrary binary preference relations, real-valued utility functions, probability distributions over binary preference relations, and random utility representations. The underlying framework is applicable to virtually any type of choice, rating, or ranking data, not just the linear orders or paired comparisons assumed by classic majority rule social welfare functions. Our general definition of majority rule for arbitrary binary relations contains the standard definition for linear orders as a special case.

Original language	English (US)
Pages (from-to)	405-428
Number of pages	24
Journal	Mathematical social sciences
Volume	43
Issue number	3
DOIs	https://doi.org/10.1016/S0165-4896(02)00021-5
State	Published - 2002

Keywords

Condorcet criterion
Majority rule
Partial orders
Random utility
Semiorders
Weak orders

ASJC Scopus subject areas

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

Online availability

10.1016/S0165-4896(02)00021-5

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@article{2c24dad6dbf249a98aa2297c87244bbf,

title = "A general concept of majority rule",

abstract = "We develop a general concept of majority rule for finitely many choice alternatives that is consistent with arbitrary binary preference relations, real-valued utility functions, probability distributions over binary preference relations, and random utility representations. The underlying framework is applicable to virtually any type of choice, rating, or ranking data, not just the linear orders or paired comparisons assumed by classic majority rule social welfare functions. Our general definition of majority rule for arbitrary binary relations contains the standard definition for linear orders as a special case.",

keywords = "Condorcet criterion, Majority rule, Partial orders, Random utility, Semiorders, Weak orders",

author = "Michel Regenwetter and Marley, {A. A.J.} and Bernard Grofman",

note = "Funding Information: We thank the National Science Foundation for funding this collaborative research through NSF grants SBR 97-30076 to Regenwetter and SBR 97-30578 to Grofman and Marley. The paper has also benefitted from interactions at Random Utility 2000, a conference funded via NSF grant SBR 98-18756 to Regenwetter and Peke{\v c}. We thank Sa{\v s}a Peke{\v c}, an anonymous referee and the editor for their helpful comments on earlier drafts. This research was carried out while the first author was a faculty member of the Decision Sciences group at the Fuqua School of Business, Duke University, which we thank for its valuable support. Marley was a fellow at the Hanse-Wissenschaftskolleg, Germany, during the paper{\textquoteright}s completion. ",

year = "2002",

doi = "10.1016/S0165-4896(02)00021-5",

language = "English (US)",

volume = "43",

pages = "405--428",

journal = "Mathematical social sciences",

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publisher = "Elsevier B.V.",

number = "3",

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TY - JOUR

T1 - A general concept of majority rule

AU - Regenwetter, Michel

AU - Marley, A. A.J.

AU - Grofman, Bernard

N1 - Funding Information: We thank the National Science Foundation for funding this collaborative research through NSF grants SBR 97-30076 to Regenwetter and SBR 97-30578 to Grofman and Marley. The paper has also benefitted from interactions at Random Utility 2000, a conference funded via NSF grant SBR 98-18756 to Regenwetter and Pekeč. We thank Saša Pekeč, an anonymous referee and the editor for their helpful comments on earlier drafts. This research was carried out while the first author was a faculty member of the Decision Sciences group at the Fuqua School of Business, Duke University, which we thank for its valuable support. Marley was a fellow at the Hanse-Wissenschaftskolleg, Germany, during the paper’s completion.

PY - 2002

Y1 - 2002

N2 - We develop a general concept of majority rule for finitely many choice alternatives that is consistent with arbitrary binary preference relations, real-valued utility functions, probability distributions over binary preference relations, and random utility representations. The underlying framework is applicable to virtually any type of choice, rating, or ranking data, not just the linear orders or paired comparisons assumed by classic majority rule social welfare functions. Our general definition of majority rule for arbitrary binary relations contains the standard definition for linear orders as a special case.

AB - We develop a general concept of majority rule for finitely many choice alternatives that is consistent with arbitrary binary preference relations, real-valued utility functions, probability distributions over binary preference relations, and random utility representations. The underlying framework is applicable to virtually any type of choice, rating, or ranking data, not just the linear orders or paired comparisons assumed by classic majority rule social welfare functions. Our general definition of majority rule for arbitrary binary relations contains the standard definition for linear orders as a special case.

KW - Condorcet criterion

KW - Majority rule

KW - Partial orders

KW - Random utility

KW - Semiorders

KW - Weak orders

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DO - 10.1016/S0165-4896(02)00021-5

M3 - Article

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VL - 43

SP - 405

EP - 428

JO - Mathematical social sciences

JF - Mathematical social sciences

IS - 3

ER -

A general concept of majority rule

Abstract

Keywords

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