1. Introduction and Definitions In Kaneko and Nakamura[2], we demonstrate that there exists
the unique social welfare func tionwhich satisfies several rationality criteria. The function is …

We investigate the notion of the Nash social welfare function and make a fundamental
assumption that there exists a distinguished alternative called an origin, which represents …

This paper provides a new formulation of the Nash social welfare function for a continuum of
individuals. The new formulation removes redundant assumptions of Kaneko's original …

BERGSON AND Samuelson propose a social welfare index expressed as (1. 1) W= W [u'(x'),
U2 (X2),..., um (xm)] Here, each component of an n-dimensional vector xi-(xi,.., x') represents …

THE NASH SOCIAL WELFARE FUNCTION FOR A MEASURE SPACE OF INDIVIDUALS
Mamoru KANEKO* 1. Introduction (1) Kaneko and Nakamura (1979 Page 1 Journal of …

In Armstrong [1985] I examined precisely dictatorial social welfare functions. These are
those social welfare functions o with associated dictator k so that, for a profile/of preferences …

Hansson (1969) sets forth four conditions satisfied by no generalized social welfare function
(GSWF), a mapping from profiles of individual preferences to arbitrary social preference …

We get one of three different cases. 1 m= l means rank dictatorship, m= n represents the
utilitarian rule, In the intermediate case (1< m< n) there exists one group of m ranks which …

A number of different methods are used in welfare economics and social choice theory to
comparatively evaluate social alternatives using a social preference. In this chapter, I …

This paper is concerned with the “General Possibility Theorem” of Dr. KJ Arrow. Since the
theorem is certainly elegant and probably important, it is proper as well as convenient to …