Social choice and information: A note on the calculus of mappings from utility spaces

Social choice is studied in this paper as a mapping from information on utilities over states of the world to an ordering of those states of the world. The idea of using this type of information originates in the work of Sen and Roberts. This paper differs in that it uses theorems from analysis to derive its results in a straightforward manner. It also gives information on the way in which all states of the world, on any path through the set of states of the world, must be ordered.