Template-Type: ReDIF-Paper 1.0
Series: Tinbergen Institute Discussion Papers
Creation-Date: 2006-02-21
Number: 06-022/1
Author-Name: Keisuke Sato
Author-Email: sato90@sk.tsukuba.ac.jp
Author-Workplace-Name: University of Tsukuba, Japan
Author-Name: Yoshitsugu Yamamoto
Author-Email: yamamoto@sk.tsukuba.ac.jp
Author-Workplace-Name: University of Tsukuba, Japan
Title: A Study on Linear Inequality Representation of Social Welfare Functions
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.
Classification-JEL: D71
Keywords: Social welfare function; Linear inequality representation; Extreme points; Probabilistic social welfare function; Integral polytope
File-Url: https://papers.tinbergen.nl/06022.pdf
File-Format: application/pdf
File-Size: 306970 bytes
Handle: RePEc:tin:wpaper:20060022