Please use this identifier to cite or link to this item: http://hdl.handle.net/10419/86402
Authors: 
Sato, Keisuke
Yamamoto, Yoshitsugu
Year of Publication: 
2006
Series/Report no.: 
Tinbergen Institute Discussion Paper 06-022/1
Abstract: 
This paper presents a study on the recently proposed linear inequality representation of Arrovian Social Welfare Functions (ASWFs). We first give an alternative proof of the ASWF integer linear inequality representation theorem, and then 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.
Subjects: 
Social welfare function
Linear inequality representation
Extreme points
Probabilistic social welfare function
Integral polytope
JEL: 
D71
Document Type: 
Working Paper

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