Preferences, Summation, and Social Welfare Functions
- 1 November 1969
- journal article
- Published by Institute for Operations Research and the Management Sciences (INFORMS) in Management Science
- Vol. 16 (3) , 179-186
- https://doi.org/10.1287/mnsc.16.3.179
Abstract
This paper gives a necessary and sufficient condition for the following proposition, in which ⪯ and ⪯i for i = 1,…, n are weak orders on a finite set X. There are real-valued functions f1, f2,…, fn on X such that, for all x and y in X and i in {1,…,n}x⪯i y if and only if fi(x) ≤ fi(y), and x ⪯ y if and only if fl(x) + ⋯ + fn(x) ≤ fl(y) + ⋯ + fn(y). The condition can be viewed as an extension of a simple unanimity or dominance condition.Keywords
This publication has 0 references indexed in Scilit: