On the selection of the same winner by all scoring rules

Eyal Baharad, Shmuel Nitzan

Research output: Contribution to journalReview articlepeer-review

5 Scopus citations


Different scoring rules can result in the selection of any of the k competing candidates, given the same preference profile, (Saari DG 2001, Chaotic elections! A mathematician looks at voting. American Mathematical Society, Providence, R.I.). It is also possible that a candidate, and even a Condorcet winning candidate, cannot be selected by any scoring rule, (Saari DG 2000 Econ Theory 15:55-101). These findings are balanced by Saari's result (Saari DG 1992 Soc Choice Welf 9(4):277-306) that specifies the necessary and sufficient condition for the selection of the same candidate by all scoring rules. This condition is, however, indirect. We provide a sufficient condition that is stated directly in terms of the preference profile; therefore, its testability does not require the verdict of any voting rule.

Original languageEnglish
Pages (from-to)597-601
Number of pages5
JournalSocial Choice and Welfare
Issue number3
StatePublished - Jun 2006


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