IDEAS home Printed from https://ideas.repec.org/a/gam/jgames/v12y2021i4p92-d697016.html
   My bibliography  Save this article

A Disproportionality Bias in the Bureau of the Regional Assembly of Madrid

Author

Listed:
  • Omar de la Cruz Vicente

    (Departamento de Economía y Empresa, Facultad de Ciencias Sociales, Universidad Nebrija, 28240 Madrid, Spain)

  • Fernando Tomé Bermejo

    (Departamento de Economía y Empresa, Facultad de Ciencias Sociales, Universidad Nebrija, 28240 Madrid, Spain)

  • Rafael Ramiro Moreno

    (ICADE Business School, Facultad de Ciencias Económicas y Empresariales, Universidad Pontificia Comillas, 28015 Madrid, Spain)

Abstract

This paper analyses the voting behavior of the parliamentary groups in the Regional Assembly of Madrid to appoint the Bureau, its representative body, in all the legislatures since its inception (1983–2021). To this end, the actual result of the voting is compared with the mock result attained by following a Nash equilibrium (NE) and a d’Hondt (d’H) allocation in each vote. But the result of a d’Hondt allocation varies based on the number of stages in which the voting is performed (President, Vice-President, and Secretaries), so a bias towards disproportionality could exist as measured by the absolute index of disproportionality which calculates the number of seats non-proportionally allocated. The results show that, in view of the hypothesis on the importance of the number of seats, the NE was only followed in four of the 12 Legislatures for Vice-Presidents (it was always followed for Secretaries). Thus, parliamentary groups could gain more seats by modifying their strategies. Additionally, the absolute rate of disproportionality and the number of seats non-proportionally allocated indicate that, in general, parliamentary groups obtain voting results that are less disproportionate than they could be (due to the number of voting stages).

Suggested Citation

  • Omar de la Cruz Vicente & Fernando Tomé Bermejo & Rafael Ramiro Moreno, 2021. "A Disproportionality Bias in the Bureau of the Regional Assembly of Madrid," Games, MDPI, vol. 12(4), pages 1-25, December.
  • Handle: RePEc:gam:jgames:v:12:y:2021:i:4:p:92-:d:697016
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2073-4336/12/4/92/pdf
    Download Restriction: no

    File URL: https://www.mdpi.com/2073-4336/12/4/92/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. M. L. Balinski & H. P. Young, 1979. "Criteria for Proportional Representation," Operations Research, INFORMS, vol. 27(1), pages 80-95, February.
    2. Karpov, Alexander, 2015. "Alliance incentives under the D’Hondt method," Mathematical Social Sciences, Elsevier, vol. 74(C), pages 1-7.
    3. Joaquín Pérez & Omar De la Cruz, 2014. "Implementation of Jefferson-d’Hondt rule in the formation of a parliamentary committee," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 42(1), pages 17-30, January.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Karpov, Alexander, 2015. "Alliance incentives under the D’Hondt method," Mathematical Social Sciences, Elsevier, vol. 74(C), pages 1-7.
    2. Tanguiane, Andranick S., 2022. "Analysis of the 2021 Bundestag elections. 3/4. Tackling the Bundestag growth," Working Paper Series in Economics 153, Karlsruhe Institute of Technology (KIT), Department of Economics and Management.
    3. Bittó, Virág, 2017. "Az Imperiali és Macau politikai választókörzet-kiosztási módszerek empirikus vizsgálata [Empirical Analysis of the Imperiali and Macau Apportionment Methods]," MPRA Paper 79554, University Library of Munich, Germany.
    4. Tanguiane, Andranick S., 2023. "Apportionment in times of digitalization," Working Paper Series in Economics 161, Karlsruhe Institute of Technology (KIT), Department of Economics and Management.
    5. Tanguiane, Andranick S., 2019. "Tackling the Bundestag growth by introducing fraction-valued votes," Working Paper Series in Economics 137, Karlsruhe Institute of Technology (KIT), Department of Economics and Management.
    6. Jarosław Flis & Wojciech Słomczyński & Dariusz Stolicki, 2020. "Pot and ladle: a formula for estimating the distribution of seats under the Jefferson–D’Hondt method," Public Choice, Springer, vol. 182(1), pages 201-227, January.
    7. Michel Le Breton & Karine Van Der Straeten, 2017. "Alliances Électorales et Gouvernementales : La Contribution de la Théorie des Jeux Coopératifs à la Science Politique," Revue d'économie politique, Dalloz, vol. 127(4), pages 637-736.
    8. Mostapha Diss & Clinton Gubong Gassi & Issofa Moyouwou, 2023. "Combining diversity and excellence in multi winner elections," Working Papers 2023-05, CRESE.
    9. George, John A. & Lamar, Bruce W. & Wallace, Chris A., 1997. "Political district determination using large-scale network optimization," Socio-Economic Planning Sciences, Elsevier, vol. 31(1), pages 11-28, March.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:gam:jgames:v:12:y:2021:i:4:p:92-:d:697016. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: MDPI Indexing Manager (email available below). General contact details of provider: https://www.mdpi.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.