The Dodgson ranking and its relation to Kemeny’s method and Slater’s rule
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In this paper we provide a binary extension of Dodgson’s non-binary preference aggregation rule. This new aggregation rule is then compared to two other rules which, as Dodgson’s rule, are also explicitly based on distance functions, namely Kemeny’s and Slater’s rule. It is shown that the alternative which is top ranked by any of those rules can occur at any position in the Dodgson ranking.
KeywordsDistance Function Aggregation Rule Preference Aggregation Binary Extension Preference Aggregation Rule
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