Given n agents with von Neumann-Morgenstern utility functions who wish to divide m commodities, consider the n-person noncooperative game with strategies consisting of concave, increasing von Neumann-Morgenstern utility functions, and whose outcomes are the relative utilitarian solution. It is...

This paper provides characterization theorems for preferences that can be represented by the minimum, the maximum, and the sum of components, or combinations of these forms. It contains a discussion of applications to social choice