Borda rule as an almost first-order stochastic dominance rule

Mostapha Diss, Eric Kamwa and Muhammad Mahajne ()
Additional contact information
Muhammad Mahajne: GATE, Univ Lyon

No 2020-05, Working Papers from CRESE

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; centrality measures; rankings; first-order stochastic dominance; scoring rules; Borda’s rule. (search for similar items in EconPapers)
JEL-codes: C71 D71 D72 D85 (search for similar items in EconPapers)
Pages: 10 pages
Date: 2020-07
New Economics Papers: this item is included in nep-mic, nep-net and nep-ore
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
https://crese.univ-fcomte.fr/uploads/wp/WP-2020-05.pdf First version, 2020 (application/pdf)

Related works:
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)
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:crb:wpaper:2020-05

Access Statistics for this paper

More papers in Working Papers from CRESE Contact information at EDIRC.
Bibliographic data for series maintained by Laurent Kondratuk ().