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Borda rule as an almost first-order stochastic dominance rule

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.
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https://hal.archives-ouvertes.fr/hal-02554924
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Submitted on : Monday, April 27, 2020 - 1:45:53 AM
Last modification on : Tuesday, October 27, 2020 - 2:34:44 PM

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  • HAL Id : hal-02554924, version 1

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Mostapha Diss, Eric Kamwa, Muhammad Mahajne. Borda rule as an almost first-order stochastic dominance rule. 2020. ⟨hal-02554924⟩

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