(1) Department of Economics and Finance, University of New Orleans, New Orleans, LA 70148, USA;(2) Department of Economics, University of British Columbia, Vancouver, B.C., Canada, V6T 1Z1
Abstract:
A necessary and sufficient condition for linear aggregation of SSB utility functionals is presented. Harsanyi's social aggregation theorem for von Neumann–Morgenstern utility functions is shown to be a corollary to this result. Two generalizations of Fishburn and Gehrlein's conditional linear aggregation theorem for SSB utility functionals are also established.