Integer programming and Arrovian Social Welfare functions

Integer programming and Arrovian Social Welfare functions

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Article ID: iaor2004392
Country: United States
Volume: 28
Issue: 2
Start Page Number: 309
End Page Number: 326
Publication Date: May 2003
Journal: Mathematics of Operations Research
Authors: , ,
Abstract:

We characterize the class of Arrovian Social Welfare Functions (ASWFs) as integer solutions to a collection of linear inequalities. Many of the classical possibility, impossibility, and characterization results can be derived in a simple and unified way from this integer program. Among the new results we derive is a characterization of preference domains that admit a nondictatorial, neutral ASWF. We also give a polyhedral characterization of all ASWFs on single-peaked domains.

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