The Number of Preference Orderings: A Recursive Approach

The Mathematical Gazette 99 (544):21-32 (2015)
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Abstract

This article discusses approaches to the problem of the number of preference orderings that can be constructed from a given set of alternatives. After briefly reviewing the prevalent approach to this problem, which involves determining a partitioning of the alternatives and then a permutation of the partitions, this article explains a recursive approach and shows it to have certain advantages over the partitioning one.

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Ben Eggleston
University of Kansas

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