A Study on Linear Inequality Representation of Social Welfare Functions | Zendy

Keisuke Sato | Zendy; Yoshitsugu Yamamoto | Zendy

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A Study on Linear Inequality Representation of Social Welfare Functions

Author(s) -

Keisuke Sato,

Yoshitsugu Yamamoto

Publication year - 2006

Publication title -

ssrn electronic journal

Language(s) - English

Resource type - Journals

ISSN - 1556-5068

DOI - 10.2139/ssrn.886242

Subject(s) - inequality , representation (politics) , welfare , mathematics , social inequality , linear inequality , social welfare , mathematical economics , public economics , algebra over a field , economics , political science , pure mathematics , mathematical analysis , law , politics

. This paper presents a study on the recently proposed linear inequality rep- resentation of Arrovian Social Welfare Functions (ASWFs). We first give an alternative proof of the ASWF integer linear inequality representation theorem, and then show several sucient,conditions on preference domains for the linear inequalities of the rep- resentation to form integral polytopes. We also show that a given probabilistic ASWF induces a real vector satisfying the inequalities.

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