A study on linear inequality representations of social welfare functions

A study on linear inequality representations of social welfare functions

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Article ID: iaor200969024
Country: Japan
Volume: 52
Issue: 2
Start Page Number: 112
End Page Number: 130
Publication Date: Jun 2009
Journal: Journal of the Operations Research Society of Japan
Authors: ,
Keywords: economics, social, programming: linear
Abstract:

This paper presents a study on the recently proposed linear inequality representation of Arrovian Social Welfare Functions~(ASWFs). We correct and show several sufficient conditions on preference domains for the linear inequalities of the representation to form integral polytopes. We also show that a given probabilistic ASWF induces a real vector satisfying the inequalities.

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