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Combinatorics of Election Scores

P. 347–366.
Karpov A.

This paper presents a novel combinatorial approach for voting rule analysis. Applying reversal symmetry, we introduce a new class of preference profiles and a new representation (bracelet representation) of preference profiles. By applying an impartial, anonymous, and neutral culture model for the case of three alternatives, we obtain precise theoretical values for the number of election scores for the plurality rule, the Kemeny rule, the Borda rule, and the scoring rules in the extreme case.

Language: English
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Keywords: скоринговые правила scoring rules
Publication based on the results of:
Data analysis and choice of solutions in the studies of socio-economic and political systems (2021)

In book

Evaluating Voting Systems with Probability Models
Evaluating Voting Systems with Probability Models
Cham: Springer, 2021.
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