Jonathan K. Hodge

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An ordering of multidimensional alternatives is separable on a set of dimensions if fixing values on the complementary dimensions always produces the same induced ordering. Most often, studies of separability assume continuous alternative spaces; as we show, separability has different properties when alternative spaces are discrete. For instance, two(More)
Single-peaked preferences are important throughout social choice theory. In this article,we consider single-peaked preferences over multidimensional binary alternative spaces—that is, alternative spaces of the form {0, 1}n for some integer n ≥ 2. We show that preferences that are single-peaked with respect to a normalized separable base order are(More)
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