Abstract
Although the Pareto principle is a very intuitive property, it has been observed that many results in social choice theory do not require it as an assumption. For example, Wilson [8] proved an impossibility theorem concerning the aggregation of individual preferences without the Pareto principle. Since Wilson's theorem implies as a corollary the Arrow impossibility theorem (Arrow [1]) when the Pareto principle is also assumed, it has been viewed by some as more fundamental than Arrow's theorem. However, most proofs of Wilson's theorem (in particular a recent ultrafilter approach proof by Campbell [3]) are so close to known proofs of Arrow's theorem that one might conjecture that these two results are essentially the same.
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