We provide a simple construction of social choice rules for economies with infinite populations. The rules are continuous, Pareto and non-dictatorial; they are constructed as limits of individual preferences when the limit exists, and otherwise as adequate generalizations. This contrasts with...

This paper establishes a clear connection between equilibrium theory, game theory and social choice theory by showing that, for a well defined social choice problem, a condition which is necessary and sufficient to solve this problem - limited arbitrage - is the same as the condition which is...

This paper studies maps which are invariant under the action of the symmetry group Sk. The problem originates in social choice theory: there are k individuals each with a space of preferences X, and a social choice map : Xk-X which is anonymous i.e. invariant under the action of a group of...