Abstract

  


 



A Study on Linear Inequality Representation of Social Welfare Functions


Keisuke Sato


University of Tsukuba

Yoshitsugu Yamamoto


University of Tsukuba
February 2006

Tinbergen Institute Discussion Paper No. 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.

Number of Pages in PDF File: 22

Keywords: Social welfare function, Linear inequality representation, Extreme points, Probabilistic social welfare function, Integral polytope.

JEL Classification: D71

working papers series


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Date posted: March 1, 2006  

Suggested Citation

Sato, Keisuke and Yamamoto, Yoshitsugu, A Study on Linear Inequality Representation of Social Welfare Functions (February 2006). Tinbergen Institute Discussion Paper No. 06-022/1. Available at SSRN: http://ssrn.com/abstract=886242 or http://dx.doi.org/10.2139/ssrn.886242

Contact Information

Keisuke Sato (Contact Author)
University of Tsukuba ( email )
Tsukuba, Ibaraki 305-8573
Japan
Yoshitsugu Yamamoto
University of Tsukuba ( email )
Tsukuba, Ibaraki 305-8573
Japan
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