The paper considers the problem of description of social welfare orderings (SWOs) on the
entire utility (Euclidean) space R n satisfying Scale Independence. These orderings and the …

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 …

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 …

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dqg dvvxplqj d frpprq/zruvw vrfldo vwdwh iru doo lqglylgxdov1 Wkh fuxfldo d {lrp lq wkh …

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 …

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 …

The paper deals with the characterization of a class of social welfare orderings. The social
evaluation functions which represent these orderings are separable in the components of …

This article characterizes all of the continuous social welfare orderings which satisfy the
Weak (resp. Strong) Pareto principle when utilities are ratio-scale measurable. With Weak …

The Bergson-Samuelson social welfare function (SWF) has become a standard tool of
welfare analysis. Our main purpose in the present note is to cast doubt on the existence of …

The problem of comparing social states with respect to several attributes is investigated in a
purely ordinal framework. Axioms are given for an additive (in individual welfare levels) …