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Triple-acyclicity in majorities based on difference in support

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Llamazares, Bonifacio and Pérez-Asurmendi, Patrizia (2015) Triple-acyclicity in majorities based on difference in support. Information Sciences, 299 . pp. 209-220. ISSN 0020-0255

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Official URL: https://doi.org/10.1016/j.ins.2014.11.049



Abstract

In this paper we study to what extent majorities based on difference in support leads to triple-acyclic collective decisions. These majorities, which take into account voters’ intensities of preference between pairs of alternatives through reciprocal preference relations, require to the winner alternative to exceed the support for the other alternative in a difference fixed before the election. Depending on that difference, i.e., on the threshold of support, and on some requirements on the individual rationality of the voters, we provide necessary and sufficient conditions for avoiding cycles of three alternatives on the collective decision.


Item Type:Article
Uncontrolled Keywords:Majorities based on difference in support; Reciprocal preference relation; Triple-acyclicity; Voting system.
Subjects:Social sciences > Economics > Economics
ID Code:59456
Deposited On:10 Mar 2020 13:13
Last Modified:11 Mar 2020 08:27

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