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

Author

Listed:
  • Abdelhalim El Ouafdi

    (UJM Saint-Etienne, GATE)

  • Dominique Lepelley

    (Université de La Réunion, CEMOI)

  • Jérôme Serais

    (Université de Caen Normandie, CREM)

  • Hatem Smaoui

    (Université de La Réunion, CEMOI)

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 .

Suggested Citation

  • Abdelhalim El Ouafdi & Dominique Lepelley & Jérôme Serais & Hatem Smaoui, 2022. "Comparing the manipulability of approval, evaluative and plurality voting with trichotomous preferences," SN Business & Economics, Springer, vol. 2(8), pages 1-22, August.
    • Handle: RePEc:spr:snbeco:v:2:y:2022:i:8:d:10.1007_s43546-022-00253-y
    DOI: 10.1007/s43546-022-00253-y
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    References listed on IDEAS

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    More about this item

    Keywords

    Evaluative voting; Approval voting; Coalitional manipulability; Probability;
    All these keywords.

    JEL classification:

    • D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations
    • D72 - Microeconomics - - Analysis of Collective Decision-Making - - - Political Processes: Rent-seeking, Lobbying, Elections, Legislatures, and Voting Behavior

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