Borda rule as an almost first-order stochastic dominance rule

Mostapha Diss, Eric Kamwa and Muhammad Mahajne
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Muhammad Mahajne: GATE Lyon Saint-Étienne - Groupe d'Analyse et de Théorie Economique Lyon - Saint-Etienne - ENS de Lyon - École normale supérieure de Lyon - Université de Lyon - UL2 - Université Lumière - Lyon 2 - UCBL - Université Claude Bernard Lyon 1 - Université de Lyon - UJM - Université Jean Monnet - Saint-Étienne - CNRS - Centre National de la Recherche Scientifique

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Abstract: In single-winner elections and individuals expressing linear orderings, an alternative has first-order stochastic dominance if the cumulative standing for this alternative at each rank is higher than that of the other alternatives. It is well-known that this criterion may fail in ranking the competing alternatives since the first-order stochastic dominance winner may not exist in some situations. Making an adaptation of a centrality measure from network theory, we introduce in this note a rule, called the almost first-order stochastic dominance rule, which selects the alternative having first-order stochastic dominance if such an alternative exists, otherwise it selects the alternative which is close to achieve first-order stochastic dominance. It turns out that this rule is equivalent to the well-studied Borda rule. This result highlights an unknown property of the Borda rule.

Keywords: Network; Centrality; Rankings; First-order stochastic dominance; Scoring rules; Borda's rule (search for similar items in EconPapers)
Date: 2020-04-27
New Economics Papers: this item is included in nep-mic
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Working Paper: Borda rule as an almost first-order stochastic dominance rule (2020)
Working Paper: Borda rule as an almost first-order stochastic dominance rule (2020)
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