A general scoring rule

Gaertner, W. & Xu, Y. (2012). A general scoring rule. Mathematical Social Sciences, 63(3), 193-196. https://doi.org/10.1016/j.mathsocsci.2012.01.006
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This paper studies a ranking rule of the following type axiomatically: each voter places k candidates into n categories with ranks from n to 1 attached to these categories, the candidate(s) with the highest aggregate score is (are) the winner(s). We show that it is characterized by a monotonicity condition and a multi-stage cancellation property

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