In this paper we provide Impossibility Theorems for social welfare functionals. We adapt the method of proving the inevitability of dictatorial Bergson-Samuelson social welfare functions for fixed utility profiles developed in a paper by Robert P. Parks in 1976. With a little more from results...

Extensive measurement is the standard measurement-theoretic approach for constructing a ratio scale. It involves the comparison of objects that can be concatenated in an additively representable way. This paper studies the implications of extensively measurable welfare for social choice theory....