Cooperative phenomena in crystals and the probability of tied Borda count elections (Q1613352)
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scientific article; zbMATH DE number 1792301
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Cooperative phenomena in crystals and the probability of tied Borda count elections |
scientific article; zbMATH DE number 1792301 |
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Cooperative phenomena in crystals and the probability of tied Borda count elections (English)
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29 August 2002
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The author derives an alternative formula for the number of \(n\)-step closed paths on a triangular lattice, and corrects the formula published by C. Domb [On the theory of cooperative phenomena in crystals. Adv. Phys. 9, 149--361 (1960)], where apparently a factor \(l!\) emerged from typesetting as \(1\). Modelling voter (strict) rankings of three candidates by the edges of the lattice, the author notes that a Borda tie corresponds to a closed path and so is able to use the formula to determine the probabilities that a vote of \(l\) voters results in a tie under Borda count.
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Borda
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probability of ties
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random walk
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triangular lattice
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0.8089783
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0.80365086
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0.79967666
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0.7951501
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0.7931654
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