Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5072579 | Games and Economic Behavior | 2008 | 15 Pages |
Abstract
In one-dimensional environments with single-peaked preferences we consider social welfare functions satisfying Arrow's requirements, i.e. weak Pareto and independence of irrelevant alternatives. When the policy space is a one-dimensional continuum such a welfare function is determined by a collection of 2N strictly quasi-concave preferences and a tie-breaking rule. As a corollary we obtain that when the number of voters is odd, simple majority voting is transitive if and only if each voter's preference is strictly quasi-concave.
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Authors
Lars Ehlers, Ton Storcken,