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Extensive measurement in social choice
by
Nebel, Jacob M
in
Arrow's impossibility theorem
/ classical utilitarianism
/ Clients
/ D63
/ D71
/ Dictatorship
/ Economic theory
/ Frame analysis
/ Mathematical functions
/ Measurement
/ measurement theory
/ Pareto optimum
/ Preferences
/ Social choice
/ Social welfare
/ Social welfare functions
/ Utilitarianism
/ variable-population ethics
2024
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Extensive measurement in social choice
by
Nebel, Jacob M
in
Arrow's impossibility theorem
/ classical utilitarianism
/ Clients
/ D63
/ D71
/ Dictatorship
/ Economic theory
/ Frame analysis
/ Mathematical functions
/ Measurement
/ measurement theory
/ Pareto optimum
/ Preferences
/ Social choice
/ Social welfare
/ Social welfare functions
/ Utilitarianism
/ variable-population ethics
2024
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Do you wish to request the book?
Extensive measurement in social choice
by
Nebel, Jacob M
in
Arrow's impossibility theorem
/ classical utilitarianism
/ Clients
/ D63
/ D71
/ Dictatorship
/ Economic theory
/ Frame analysis
/ Mathematical functions
/ Measurement
/ measurement theory
/ Pareto optimum
/ Preferences
/ Social choice
/ Social welfare
/ Social welfare functions
/ Utilitarianism
/ variable-population ethics
2024
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Journal Article
Extensive measurement in social choice
2024
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Overview
Extensive measurement is the standard measurement-theoretic approach for constructing a ratio scale. It involves the comparison of objects that can be concatenated in an additively representable way. This paper studies the implications of extensively measurable welfare for social choice theory. We do this in two frameworks: an Arrovian framework with a fixed population and no interpersonal comparisons, and a generalized framework with variable populations and full interpersonal comparability. In each framework we use extensive measurement to introduce novel domain restrictions, independence conditions, and constraints on social evaluation. We prove a welfarism theorem for these domains and characterize the social welfare functions that satisfy the axioms of extensive measurement at both individual and social levels. The main results are simple axiomatizations of strong dictatorship in the Arrovian framework and classical utilitarianism in the generalized framework.
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