The New Welfare
Economics identified conditions for what it called a
general social optimum
. This problem was solved without
assumptions of interpersonally comparable or measurable utility.
Bergson, A. A reformulation of
certain aspects of welfare economics.
QJE 1938
Lange, O. The foundations of welfare economics.
Econometrica
1942
A Bergson Social welfare function maps consumption and production to $\mathbb{R}$. \begin{equation*} \text{Welfare}=W\bigl(U_1(x_1),\ldots,U_N(x_N)\bigr) \end{equation*} He derives the marginal conditions that characterize optimality. Lange maxes $U_i$ subject to all $U_j$ fixed and technology and resource constraints to get P.O. The welfare theorems and public economics are the chief accomplishments of the NWE.