Comparing the manipulability of approval, evaluative and plurality voting with trichotomous preferences

Abdelhalim El Ouafdi (), Dominique Lepelley, Jérôme Serais () and Hatem Smaoui ()
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Abdelhalim El Ouafdi: UJM Saint-Etienne, GATE
Jérôme Serais: Université de Caen Normandie, CREM
Hatem Smaoui: Université de La Réunion, CEMOI

SN Business & Economics, 2022, vol. 2, issue 8, 1-22

Abstract: Abstract We consider a framework where voters' preferences are supposed to be trichotomous and only three candidates are in contention. We compare the following three voting rules on the basis of their vulnerability to strategic manipulation by coalitions of voters: (2,1,0)-evaluative voting ( $$EV$$ EV ), approval voting ( $$AV$$ AV ) and plurality voting ( $$PV$$ PV ). We first assume that the voters do not react to the deviation of some of them from their sincere preferences (naive behavior) and we show that $$AV$$ AV dominates $$PV$$ PV which dominates $$EV$$ EV . We then take into consideration the possible reactions of voters (non-naive behavior) and we demonstrate that $$AV$$ AV still dominates $$PV$$ PV and $$EV$$ EV , but that $$EV$$ EV becomes less manipulable than $$PV$$ PV .

Keywords: Evaluative voting; Approval voting; Coalitional manipulability; Probability (search for similar items in EconPapers)
JEL-codes: D71 D72 (search for similar items in EconPapers)
Date: 2022
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DOI: 10.1007/s43546-022-00253-y

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