Skip to Main content Skip to Navigation
Preprints, Working Papers, ...

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.
Document type :
Preprints, Working Papers, ...
Complete list of metadata

Cited literature [17 references]  Display  Hide  Download
Contributor : Eric Kamwa Connect in order to contact the contributor
Submitted on : Monday, April 27, 2020 - 1:45:53 AM
Last modification on : Wednesday, November 3, 2021 - 6:57:38 AM


Files produced by the author(s)


  • HAL Id : hal-02554924, version 1


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



Record views


Files downloads