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Scoring Run-off Rules, Single-peaked Preferences and Paradoxes of Variable Electorate

Abstract : In three-candidate elections with single-peaked preferences, this paper analyzes the vulnerability of scoring runoff rules to abstention and participation paradoxes. These paradoxes occur when the size of the electorate varies (grows or diminishes). In particular, the Abstention or No-show paradox occurs when a voter is better off by not casting his ballot in the election. First, we show that all the scoring runoff rules that always elect the Condorcet winner on this domain are immune to the different forms of Abstention and Participation paradoxes. Secondly, when these paradoxes are still possible, we compute their likelihood under the Impartial Anonymous Culture assumption. We conclude that considering the single-peaked domain drastically reduces, and even sometimes eliminates the impact of No-show paradoxes, for scoring runoff rules.
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Preprints, Working Papers, ...
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https://hal.archives-ouvertes.fr/hal-03143741
Contributor : Eric Kamwa Connect in order to contact the contributor
Submitted on : Wednesday, February 17, 2021 - 3:43:21 AM
Last modification on : Tuesday, October 19, 2021 - 11:35:06 PM
Long-term archiving on: : Tuesday, May 18, 2021 - 6:19:41 PM

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  • HAL Id : hal-03143741, version 1

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Eric Kamwa, Vincent Merlin, Faty Mbaye Top. Scoring Run-off Rules, Single-peaked Preferences and Paradoxes of Variable Electorate. 2021. ⟨hal-03143741⟩

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