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Seat Apportionment by Population and Contribution in European Parliament After Brexit

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Transactions on Computational Collective Intelligence XXXIV

Part of the book series: Lecture Notes in Computer Science ((TCCI,volume 11890))

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Abstract

The problem of apportioning seats to member countries of the European Parliament after Brexit and in view of new accessions/exits is delicate, as countries with strong economies (and their consequent large contributions to the European Union) require that they have greater representative weight in the European Parliament. In this paper, we propose a model for seat apportionment in the European Parliament, which assigns seats taking into account both the percentages of the populations and the percentages of the contributions by each member state to the European Union budget by means of a linear combination of these two quantities. The proposed model is a modification of the approach given by Bertini, Gambarelli, and Stach in 2005. Using the new model, we studied the power position of each European Union member state before and after the exit of the United Kingdom using the Banzhaf power index. A short latest-literature review on this topic is given.

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References

  1. Bertini, C., Gambarelli, G., Stach, I.: Apportionment strategies for the European Parliament. In: Gambarelli, G., Holler, M. (eds.) Power Measures III, a Special Issue of Homo Oeconomicus, vol. 22, pp. 589–604. Accedo Verlagsgesellschaft, München (2005). Reprinted in: Holler, M.J., Nurmi, H. (eds.) Power, Voting, and Voting Power: 30 Years After, pp. 541–552. Springer-Verlag, Heidelberg (2013)

    Google Scholar 

  2. Bertini, C., Gambarelli, G., Stach, I.: A method of seat distribution in the European Parliament. In: Łebkowski, P. (ed.) Zarządzanie przedsiębiorstwem. Teoria i praktyka 2014, pp. 271–280. AGH University of Science and Technology Press, Kraków (2014)

    Google Scholar 

  3. Bilbao, J.M., Fernández, J.R., Jiménez Losada, A., López, J.J.: Generating functions for computing power indices efficiently. Top 8(2), 191–213 (2000)

    Article  MathSciNet  Google Scholar 

  4. Mercik, J., Ramsey, D.M.: The effect of Brexit on the balance of power in the European Union Council: an approach based on pre-coalitions. In: Mercik, J. (ed.) Transactions on Computational Collective Intelligence XXVII. LNCS, vol. 10480, pp. 87–107. Springer, Cham (2017). https://doi.org/10.1007/978-3-319-70647-4_7

    Chapter  MATH  Google Scholar 

  5. Shapley, L.S., Shubik, M.: A method for evaluating the distribution of power in a committee system. Am. Polit. Sci. Rev. 48, 787–792 (1954)

    Article  Google Scholar 

  6. Stach, I.: Shapley-Shubik index. In: Dowding, K. (ed.) Encyclopedia of Power, pp. 603–606. SAGE Publications, Los Angeles (2011)

    Google Scholar 

  7. Banzhaf, J.F.: Weighted voting doesn’t work. A mathematical analysis. Rutgers Law Rev. 19, 317–343 (1965)

    Google Scholar 

  8. Johnston, R.J.: On the measurement of power: some reactions to Laver. Environ. Plann. A 10, 907–914 (1978)

    Article  Google Scholar 

  9. Gładysz, B., Mercik, J., Ramsey, D.M.: The effect of Brexit on the balance of power in the European Union Council revisited: a fuzzy multicriteria attempt. In: Nguyen, N.T., Kowalczyk, R., Mercik, J., Motylska-Kuźma, A. (eds.) Transactions on Computational Collective Intelligence XXXI. LNCS, vol. 11290, pp. 80–91. Springer, Heidelberg (2018). https://doi.org/10.1007/978-3-662-58464-4_8

    Chapter  Google Scholar 

  10. Kóczy, L.Á.: How Brexit affects European Union power distribution. Discussion Papers (MTDP-2016/11), Institute of Economics, Centre for Economic and Regional Studies, Hungarian Academy of Sciences, Budapest (2016)

    Google Scholar 

  11. Petróczy, D.G., Rogers, M.F., Kóczy, L.Á.: Brexit: the belated threat. arXiv:1808.05142v1 [econ.GN], 14 August 2018

  12. Bertini, C., Stach, I.: Banzhaf voting power measure. In: Dowding, K. (ed.) Encyclopedia of Power, pp. 54–55. SAGE Publications, Los Angeles (2011)

    Google Scholar 

  13. EU elections: how many MEPs will each country get in 2019, News. European Parliament, EU affairs 01-02-2018 10:21 (2018). http://www.europarl.europa.eu/news/en/headlines/eu-affairs/20180126STO94114/eu-elections-how-many-meps-will-each-country-get-in-2019

  14. Voting system. https://www.consilium.europa.eu/en/council-eu/voting-system. Accessed 3 Sept 2018

  15. Keep, M.: A guide to the EU budget. Briefing Paper 06455 (2018). http://researchbriefings.files.parliament.uk/documents/SN06455/SN06455.pdf. Accessed 28 Oct 2018

  16. The EU budget at a glance. http://www.europarl.europa.eu/external/html/budgetataglance/default_en.html. Accessed 3 Sept 2018

  17. Eurostat, Code tps00001 - Population on 1 January – persons. https://ec.europa.eu/eurostat/tgm/table.do?tab=table&language=en&pcode=tps00001&tableSelection=1&footnotes=yes&labeling=labels&plugin=1. Accessed 12 Dec 2018

  18. Gambarelli, G.: Minimax apportionments. Group Decis. Negot. 8(6), 441–461 (1999)

    Article  Google Scholar 

  19. Holler, M.J.: Forming coalitions and measuring voting power. Polit. Stud. 30, 262–271 (1982)

    Article  Google Scholar 

  20. Holler, M.J., Packel, E.W.: Power, luck and the right index. Zeitschrift für Nationalökonomie, J. Econ. 43, 21–29 (1983)

    Article  Google Scholar 

  21. Bertini, C., Freixas, J., Gambarelli, G., Stach, I.: Comparing power indices. Int. Game Theory Rev. 15(2), 13400041–134000419 (2013)

    MathSciNet  MATH  Google Scholar 

  22. Stach, I.: Sub-coalitional approach to values. In: Mercik, J. (ed.) Transactions on Computational Collective Intelligence XXVII. LNCS, vol. 10480, pp. 74–86. Springer, Cham (2017). https://doi.org/10.1007/978-3-319-70647-4_6

    Chapter  Google Scholar 

  23. Owen, G.: Values of games with a priori unions. In: Henn, R., Moeschlin, O. (eds.) Essays in Mathematical Economics and Game Theory, vol. 141, pp. 76–88. Springer, Heidelberg (1977). https://doi.org/10.1007/978-3-642-45494-3_7

    Chapter  Google Scholar 

  24. Owen, G.: Modification of the Banzhaf-Coleman index for games with a priori unions. In: Holler, M.J. (ed.) Power, Voting, and Voting Power, pp. 232–238. Physica, Würzburg (1982)

    Google Scholar 

  25. Życzkowski, K., Słomczyński, W.: Voting in the European Union: the square root system of Penrose and a critical point and optimal quota. arXiv:cond-mat/0405396 [cond-mat.other] (2004)

  26. Słomczyński, W., Życzkowski, K.: Penrose voting system and optimal quota. Acta Physica Polonica B37(11), 3133–3143 (2006)

    Google Scholar 

  27. Słomczyński, W., Życzkowski, K.: Jagiellonian compromise – an alternative voting system for the council of the European Union. In: Życzkowski, K. (ed.) Institutional Design and Voting Power in the European Union, pp. 43–57. Routledge, London (2011)

    Google Scholar 

  28. Penrose, L.S.: The elementary statistics of majority voting. J. Roy. Stat. Soc. 109(1), 53–57 (1946)

    Article  Google Scholar 

  29. Penrose, L.S.: On the Objective Study of Crowd Behaviour. H.K. Lewis, London (1952)

    Google Scholar 

  30. Kirsch, W., Życzkowski, K., Słomczyński, W.: Getting the votes right. Eur. Voice 13(17), 12 (2007)

    Google Scholar 

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Acknowledgements

This research is financed by the funds (No. 16.16.200.396) of AGH University of Science and Technology, MIUR, research grants from the University of Bergamo, and the GNAMPA group of INDAM.

The authors would like to thank the anonymous reviewers for their numerous comments and suggestions that led us to improving this paper.

Author information

Authors and Affiliations

  1. Department of Management, Economics and Quantitative Methods, University of Bergamo, Via dei Caniana, 2, 24127, Bergamo, Italy

    Cesarino Bertini & Gianfranco Gambarelli

  2. AGH University of Science and Technology, Al. Mickiewicza 30, 30-059, Krakow, Poland

    Izabella Stach

  3. Institute Leonardo da Vinci, Bergamo, Italy

    Giuliana Zibetti

Authors
  1. Cesarino Bertini
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  2. Gianfranco Gambarelli
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  3. Izabella Stach
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  4. Giuliana Zibetti
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Corresponding author

Correspondence to Izabella Stach .

Editor information

Editors and Affiliations

  1. Wroclaw University of Technology, Wroclaw, Poland

    Ngoc Thanh Nguyen

  2. Swinburne University of Technology, Hawthorn, VIC, Australia

    Ryszard Kowalczyk

  3. WSB University in Wroclaw, Wroclaw, Poland

    Jacek Mercik

  4. WSB University in Wroclaw, Wroclaw, Poland

    Anna Motylska-Kuźma

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Bertini, C., Gambarelli, G., Stach, I., Zibetti, G. (2019). Seat Apportionment by Population and Contribution in European Parliament After Brexit. In: Nguyen, N., Kowalczyk, R., Mercik, J., Motylska-Kuźma, A. (eds) Transactions on Computational Collective Intelligence XXXIV. Lecture Notes in Computer Science(), vol 11890. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-60555-4_8

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  • DOI: https://doi.org/10.1007/978-3-662-60555-4_8

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