Arbeitspapier
A Study on Linear Inequality Representation of Social Welfare Functions
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.
- Language
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Englisch
- Bibliographic citation
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Series: Tinbergen Institute Discussion Paper ; No. 06-022/1
- Classification
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Wirtschaft
Social Choice; Clubs; Committees; Associations
- Subject
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Social welfare function
Linear inequality representation
Extreme points
Probabilistic social welfare function
Integral polytope
- Event
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Geistige Schöpfung
- (who)
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Sato, Keisuke
Yamamoto, Yoshitsugu
- Event
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Veröffentlichung
- (who)
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Tinbergen Institute
- (where)
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Amsterdam and Rotterdam
- (when)
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2006
- Handle
- Last update
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10.03.2025, 11:43 AM CET
Data provider
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Object type
- Arbeitspapier
Associated
- Sato, Keisuke
- Yamamoto, Yoshitsugu
- Tinbergen Institute
Time of origin
- 2006