Extending Xu's results to Arrow's Impossibility Theorem

This note shows that results similar to Arrow's Impossibility Theorem can be proved by replacing the weak Pareto principle by a weaker condition called Pareto Neutrality and used by Xu (1990) to state another version of Sen's liberal paradox. Our result strengthens Xu's arguments for taking into account non−welfarist information into the social−choice−theoretic framework. I am particularly grateful to Claude d'Aspremont and two anonymous referees for their helpful comments. The usual caveat, of course, applies