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Probabilities of consistent election outcomes with majorities based on difference in support

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Diss, Mostapha and Pérez-Asurmendi, Patrizia (2016) Probabilities of consistent election outcomes with majorities based on difference in support. Group Decision and Negotiation, 25 (5). pp. 967-994. ISSN 0926-2644

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Official URL: https://dx.doi.org/10.1007/s10726-015-9467-1



Abstract

Computer simulations are used to evaluate the likelihood of consistent outcomes under the class of majorities based on difference in support. These majorities require certain consensus in collective preferences to declare an alternative as the winner. More precisely, individuals show preference intensities in the unit interval among each pair of alternatives and it is required that the winner alternative obtains a difference in the sum of the intensities with respect to the loser alternative. This difference is a real number located between 0 and the total number of voters. We introduce the values of the required threshold for which majorities based on difference in support lead to transitive and triple-acyclic collective decisions with a probability of 1. Our results improve the previous theoretical ones since they require softer thresholds to reach consistent collective decisions.


Item Type:Article
Uncontrolled Keywords:Computer simulations; Majorities based on difference in support; Probability; Transitivity; Triple-acyclicity.
Subjects:Social sciences > Economics > Economics
ID Code:59459
Deposited On:10 Mar 2020 13:28
Last Modified:10 Mar 2020 13:28

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