Arrow's impossibility theorem

Abstract

It is the purpose of this article to give an exact formulation of Arrow's famous impossibility theorem and its proof. Although the results presented here are not new in the sense that the theorem is refuted or questionned, it may be of some interest especially for the reader who wants to get a more or less complete view of the argumentation leading up to the theorem. Special attention is paid to the logical structure of the argument in the conviction that a lot of misunderstanding exists about what Arrow and subsequent writers tried to say. By way of introduction to the central theme some remarks are made concerning the relation of the Arrow problem to welfare economics.