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Preference Intensities and Majority Decisions Based on Difference of Support Between Alternatives

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  • José Luis Garcí a-Lapresta

    () (University of Valladolid)

  • Bonifacio Llamazares

    () (University of Valladolid)

Abstract

Simple majority is one of the most used decision rules in practice. However, under this decision rule, an alternative can defeat another one with very poor support. For this reason, other decision rules have been considered in the literature, such as qualified and special majorities as well as other majorities based on difference of votes. In this paper we generalize the latter mentioned voting systems by considering individual intensities of preference, and we provide some axiomatic characterizations.

Suggested Citation

  • José Luis Garcí a-Lapresta & Bonifacio Llamazares, 2010. "Preference Intensities and Majority Decisions Based on Difference of Support Between Alternatives," Group Decision and Negotiation, Springer, vol. 19(6), pages 527-542, November.
  • Handle: RePEc:spr:grdene:v:19:y:2010:i:6:d:10.1007_s10726-009-9156-z
    DOI: 10.1007/s10726-009-9156-z
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    References listed on IDEAS

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    Cited by:

    1. Mostapha Diss & Patrizia Pérez-Asurmendi, 2016. "Consistent collective decisions under majorities based on difference of votes," Theory and Decision, Springer, vol. 80(3), pages 473-494, March.
    2. Mostapha Diss & Patrizia Pérez-Asurmendi, 2016. "Probabilities of Consistent Election Outcomes with Majorities Based on Difference in Support," Group Decision and Negotiation, Springer, vol. 25(5), pages 967-994, September.
    3. Mostapha Diss & Patrizia Pérez-Asurmendi, 2015. "Consistent collective decisions under majorities based on difference of votes," Working Papers halshs-01241996, HAL.
    4. King, Sarah Schulz & Powers, Robert C., 2018. "Beyond neutrality: Extended difference of votes rules," Mathematical Social Sciences, Elsevier, vol. 93(C), pages 146-152.
    5. Richard Baron & Mostapha Diss & Eric Rémila & Philippe Solal, 2015. "A geometric examination of majorities based on difference in support," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 45(1), pages 123-153, June.
    6. Gleb Beliakov & Simon James & Tim Wilkin, 2017. "Aggregation and consensus for preference relations based on fuzzy partial orders," Fuzzy Optimization and Decision Making, Springer, vol. 16(4), pages 409-428, December.
    7. José Carlos R. Alcantud, 2020. "Simple Majorities with Voice but No Vote," Group Decision and Negotiation, Springer, vol. 29(5), pages 803-822, October.
    8. Llamazares, Bonifacio & Pérez-Asurmendi, Patrizia, 2013. "Triple-acyclicity in majorities based on difference in support," MPRA Paper 52218, University Library of Munich, Germany.

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