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Approval Voting without Faithfulness


  • Uuganbaatar Ninjbat

    () (National University of Mongolia, School of Mathematics and Computer Science, Ulaanbaatar, Mongolia)


In this short paper, we analyze the implications of dropping the axiom of faithfulness in the axiomatization of approval voting, due to P. C. Fishburn. We show that a ballot aggregation function satisfies the remaining axioms (neutrality, consistency and cancellation) if and only if it is either a function that chooses the whole set of alternatives, or an approval voting, or a function that chooses the least approved alternatives.

Suggested Citation

  • Uuganbaatar Ninjbat, 2013. "Approval Voting without Faithfulness," Czech Economic Review, Charles University Prague, Faculty of Social Sciences, Institute of Economic Studies, vol. 7(1), pages 015-020, March.
  • Handle: RePEc:fau:aucocz:au2013_015

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    References listed on IDEAS

    1. repec:cup:apsrev:v:72:y:1978:i:03:p:831-847_15 is not listed on IDEAS
    2. Fishburn, Peter C., 1978. "Axioms for approval voting: Direct proof," Journal of Economic Theory, Elsevier, vol. 19(1), pages 180-185, October.
    3. Wilson, Robert, 1972. "Social choice theory without the Pareto Principle," Journal of Economic Theory, Elsevier, vol. 5(3), pages 478-486, December.
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    More about this item


    Approval voting; faithfulness; inverse approval voting;

    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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