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A Measure Of The Trade‐Off Between Responsiveness and Nondictatorship for Arrovian Social Welfare Functions
Author(s) -
CAMPBELL DONALD E.,
KELLY JERRY S.
Publication year - 2013
Publication title -
journal of public economic theory
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.809
H-Index - 32
eISSN - 1467-9779
pISSN - 1097-3923
DOI - 10.1111/jpet.12002
Subject(s) - transitive relation , fraction (chemistry) , pareto principle , economics , welfare , set (abstract data type) , social welfare function , measure (data warehouse) , social welfare , mathematical economics , social preferences , function (biology) , social choice theory , microeconomics , welfare economics , mathematics , combinatorics , biology , computer science , political science , law , market economy , operations management , chemistry , organic chemistry , database , evolutionary biology , programming language
If individuals are never indifferent between distinct alternatives then for any transitive‐valued social welfare function satisfying IIA, and any fraction t , either the set of pairs of alternatives that are socially ordered without consulting more than one individual's preferences comprises at least the fraction t of all pairs, or else the fraction of pairs that have their social ordering determined independently of everyone's s preferences exceeds, or is very close to, 1 − t . The Pareto criterion is not imposed. (There is also a version of this result for the domain of preferences that admit indifference.)