On the stability of a triplet of scoring rules

Mostapha Diss and Vincent Merlin ()

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Abstract: When choosing a voting rule to make subsequent decisions, the members of a committee may wish this rule to be self-selected when it is the object of a choice among a menu of different possible voting rules. Such concepts have recently been explored in Social Choice theory, and a menu of voting rule is said to be stable if it contains at least one self-selective voting rule at each profile of preferences on voting rules. We consider in this article the menu constituted by the three well-known scoring rules {Borda, Plurality, and Antiplurality}. Under the Impartial Culture assumption, which proposes an a priori model to estimate the likelihood of the profiles, we will derive a probability for the stability of this triplet of voting rules.

Keywords: Self-selectivity; Stability; Instability; Scoring rules; Impartial Culture assumption (search for similar items in EconPapers)
Date: 2010
Note: View the original document on HAL open archive server: https://shs.hal.science/halshs-00443854
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Citations: View citations in EconPapers (4)

Published in Theory and Decision, 2010, 69, pp.289-316. ⟨10.1007/s11238-009-9187-6⟩

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Journal Article: On the stability of a triplet of scoring rules (2010)
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Persistent link: https://EconPapers.repec.org/RePEc:hal:journl:halshs-00443854

DOI: 10.1007/s11238-009-9187-6

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