ARROWS THEOREM FOR ECONOMIC DOMAINS AND EDGEWORTH HYPERBOXES

Arrow's theorem holds when the set of alternatives is an Edgeworth hyp erbox and the individuals have classical economic preferences over the ir consumption sets. (Free disposability is not assumed.) By classical individual preferences we mean preorders satisfying continuity, stric t convexity, strict monotonicity, and selfishness. A minor, but notewo rthy, accomplishment is the development of a general technique for ext ending two-commodity impossibility theorems to the general m-commodity counterpart.