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Majority Efficient Representation of the Citizens in a Federal Union

In: Evaluating Voting Systems with Probability Models

Author

Listed:
  • Marc Feix
  • Dominique Lepelley

    (Université de la Réunion)

  • Vincent Merlin

    (Normandy University, UNICAEN, CNRS, UMR 6211, CREM, MRSH bureau 131, Université de Caen Normandie)

  • Jean-Louis Rouet

    (Université d’Orléans, CNRS/INSU, BRGM, ISTO, UMR7327)

  • Laurent Vidu

    (Normandy University, UNICAEN, CNRS, UMR 6211, CREM, MRSH bureau 131, Université de Caen Normandie)

Abstract

In federal unions, how many weights should be given to each state in a two-tier voting system, given that the majority rule is used at each level? We apply a majority criterion to evaluate these voting rules: An apportionment of the seats among the states is majority efficient if it minimizes the probability of electing the candidate who receives less than 50% of the votes in a two candidate competition over the whole union. Depending on the assumptions that we use to describe the electoral process, either the proportional or the square root rule can emerge as an optimal solution.

Suggested Citation

  • Marc Feix & Dominique Lepelley & Vincent Merlin & Jean-Louis Rouet & Laurent Vidu, 2021. "Majority Efficient Representation of the Citizens in a Federal Union," Studies in Choice and Welfare, in: Mostapha Diss & Vincent Merlin (ed.), Evaluating Voting Systems with Probability Models, pages 163-187, Springer.
    • Handle: RePEc:spr:stcchp:978-3-030-48598-6_8
    DOI: 10.1007/978-3-030-48598-6_8
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