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
Englisch

Bibliographic citation
Series: Tinbergen Institute Discussion Paper ; No. 06-022/1

Classification
Wirtschaft
Social Choice; Clubs; Committees; Associations
Subject
Social welfare function
Linear inequality representation
Extreme points
Probabilistic social welfare function
Integral polytope

Event
Geistige Schöpfung
(who)
Sato, Keisuke
Yamamoto, Yoshitsugu
Event
Veröffentlichung
(who)
Tinbergen Institute
(where)
Amsterdam and Rotterdam
(when)
2006

Handle
Last update
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

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