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.

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Year of publication:	2006
Authors:	Sato, Keisuke ; Yamamoto, Yoshitsugu
Publisher:	Amsterdam and Rotterdam : Tinbergen Institute
Subject:	Social welfare function \| Linear inequality representation \| Extreme points \| Probabilistic social welfare function \| Integral polytope

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Series:	Tinbergen Institute Discussion Paper ; 06-022/1
Type of publication:	Book / Working Paper
Type of publication (narrower categories):	Working Paper
Language:	English
Other identifiers:	837466571 [GVK] hdl:10419/86402 [Handle] RePEc:dgr:uvatin:20060022 [RePEc]
Classification:	D71 - Social Choice; Clubs; Committees; Associations
Source:	EconStor

Persistent link: https://www.econbiz.de/10010325364