IDEAS home Printed from https://ideas.repec.org/p/arx/papers/2508.08914.html
   My bibliography  Save this paper

The impact of the European Union's enlargement with the Western Balkans and the Association Trio on the power of member states in the Council

Author

Listed:
  • T'imea Kov'acs
  • D'ora Gr'eta Petr'oczy
  • G'abor P'asztor

Abstract

As of 2022, the European Union has taken several steps regarding enlargement. We focus on the accession of countries with which the Union is actively negotiating membership. This is examined under two enlargement scenarios: first, the enlargement along the lines of the Western Balkan countries, and second, the accession of a trio (Ukraine, Moldova, and Georgia) to the already enlarged Union. We determine the a priori power of the member states based on the Banzhaf and Shapley--Shubik indices. Various coalitions are also assumed to assess the power and influence of member states, considering both pre- and post-enlargement scenarios. We found a rare case when the two indices give different rankings. In the case of the Western Balkan countries' accession, the smaller population member states gain power, presenting an example of the new member paradox. While in a Union of 36 members, every member state loses some of their current power. However, some coalitions are better off with the EU36 enlargement than a EU33 one.

Suggested Citation

  • T'imea Kov'acs & D'ora Gr'eta Petr'oczy & G'abor P'asztor, 2025. "The impact of the European Union's enlargement with the Western Balkans and the Association Trio on the power of member states in the Council," Papers 2508.08914, arXiv.org.
  • Handle: RePEc:arx:papers:2508.08914
    as

    Download full text from publisher

    File URL: http://arxiv.org/pdf/2508.08914
    File Function: Latest version
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Le Breton, Michel & Montero, Maria & Zaporozhets, Vera, 2012. "Voting power in the EU council of ministers and fair decision making in distributive politics," Mathematical Social Sciences, Elsevier, vol. 63(2), pages 159-173.
    2. Bolus, Stefan, 2011. "Power indices of simple games and vector-weighted majority games by means of binary decision diagrams," European Journal of Operational Research, Elsevier, vol. 210(2), pages 258-272, April.
    3. Wilms, Ingo, 2020. "Dynamic programming algorithms for computing power indices in weighted multi-tier games," Mathematical Social Sciences, Elsevier, vol. 108(C), pages 175-192.
    4. Widgren, Mika, 1994. "Voting power in the EC decision making and the consequences of two different enlargements," European Economic Review, Elsevier, vol. 38(5), pages 1153-1170, May.
    5. Dan S. Felsenthal & Moshé Machover, 1998. "The Measurement of Voting Power," Books, Edward Elgar Publishing, number 1489, March.
    6. Philip D. Grech, 2021. "Power in the Council of the EU: organizing theory, a new index, and Brexit," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 56(2), pages 223-258, February.
    7. Freixas, Josep & Marciniak, Dorota & Pons, Montserrat, 2012. "On the ordinal equivalence of the Johnston, Banzhaf and Shapley power indices," European Journal of Operational Research, Elsevier, vol. 216(2), pages 367-375.
    8. Werner Kirsch & Wojciech S{l}omczy'nski & Dariusz Stolicki & Karol .Zyczkowski, 2018. "Double Majority and Generalized Brexit: Explaining Counterintuitive Results," Papers 1812.07048, arXiv.org.
    9. Moshé Machover & Dan S. Felsenthal, 2001. "The Treaty of Nice and qualified majority voting," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 18(3), pages 431-464.
    10. Stefan Napel & Mika Widgrén, 2011. "Strategic versus non-strategic voting power in the EU Council of Ministers: the consultation procedure," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 37(3), pages 511-541, September.
    11. Eleni Mylona, 2007. "The Impact of the Accession of the Western Balkan Countries on Voting and Coalition Formation within the European Council of Ministers," Discussion Papers 07/28, Department of Economics, University of York.
    12. Alonso-Meijide, J.M. & Bilbao, J.M. & Casas-Méndez, B. & Fernández, J.R., 2009. "Weighted multiple majority games with unions: Generating functions and applications to the European Union," European Journal of Operational Research, Elsevier, vol. 198(2), pages 530-544, October.
    13. László Á. Kóczy, 2021. "Brexit and Power in the Council of the European Union," Games, MDPI, vol. 12(2), pages 1-10, June.
    14. Shapley, L. S. & Shubik, Martin, 1954. "A Method for Evaluating the Distribution of Power in a Committee System," American Political Science Review, Cambridge University Press, vol. 48(3), pages 787-792, September.
    15. Dan S. Felsenthal & Moshé Machover, 2004. "A Priori Voting Power: What Is It All About?," Political Studies Review, Political Studies Association, vol. 2(1), pages 1-23, January.
    16. Dóra Gréta Petróczy & Mark Francis Rogers & László Á. Kóczy, 2022. "Exits from the European Union and Their Effect on Power Distribution in the Council," Games, MDPI, vol. 13(1), pages 1-25, February.
    17. Leech, Dennis, 2002. "Designing the Voting System for the Council of the European Union," Public Choice, Springer, vol. 113(3-4), pages 437-464, December.
    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. D'ora Gr'eta Petr'oczy & L'aszl'o Csat'o, 2023. "Voting power in the Council of the European Union: A comprehensive sensitivity analysis," Papers 2312.16878, arXiv.org, revised Nov 2025.
    2. Dóra Gréta Petróczy & Mark Francis Rogers & László Á. Kóczy, 2022. "Exits from the European Union and Their Effect on Power Distribution in the Council," Games, MDPI, vol. 13(1), pages 1-25, February.
    3. Le Breton, Michel & Montero, Maria & Zaporozhets, Vera, 2012. "Voting power in the EU council of ministers and fair decision making in distributive politics," Mathematical Social Sciences, Elsevier, vol. 63(2), pages 159-173.
    4. Di Giannatale, Paolo & Passarelli, Francesco, 2013. "Voting chances instead of voting weights," Mathematical Social Sciences, Elsevier, vol. 65(3), pages 164-173.
    5. Freixas, Josep & Kurz, Sascha, 2013. "The golden number and Fibonacci sequences in the design of voting structures," European Journal of Operational Research, Elsevier, vol. 226(2), pages 246-257.
    6. Michel Le Breton & Dominique Lepelley & Antonin Macé & Vincent Merlin, 2017. "Le mécanisme optimal de vote au sein du conseil des représentants d’un système fédéral," L'Actualité Economique, Société Canadienne de Science Economique, vol. 93(1-2), pages 203-248.
    7. Zaporozhets, Vera, 2015. "Power Distribution in French River Basin Committees," TSE Working Papers 15-558, Toulouse School of Economics (TSE).
    8. Kóczy Á., László, 2011. "Lisszaboni kilátások [Lisbon prospects]," Közgazdasági Szemle (Economic Review - monthly of the Hungarian Academy of Sciences), Közgazdasági Szemle Alapítvány (Economic Review Foundation), vol. 0(12), pages 1045-1058.
    9. Matthias Weber, 2014. "Choosing Voting Systems behind the Veil of Ignorance: A Two-Tier Voting Experiment," Tinbergen Institute Discussion Papers 14-042/I, Tinbergen Institute.
    10. Diego Varela & Javier Prado-Dominguez, 2012. "Negotiating the Lisbon Treaty: Redistribution, Efficiency and Power Indices," Czech Economic Review, Charles University Prague, Faculty of Social Sciences, Institute of Economic Studies, vol. 6(2), pages 107-124, July.
    11. Yener Kandogan, 2005. "Power analysis of the Nice Treaty on the future of European integration," Applied Economics, Taylor & Francis Journals, vol. 37(10), pages 1147-1156.
    12. Kóczy, László Á., 2012. "Beyond Lisbon: Demographic trends and voting power in the European Union Council of Ministers," Mathematical Social Sciences, Elsevier, vol. 63(2), pages 152-158.
    13. Ines Lindner, 2012. "Annick Laruelle and Federico Valenciano: Voting and collective decision-making," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 38(1), pages 161-179, January.
    14. Zhi WANG & Shangjin WEI & Kei-Mu YI, 2009. "Value Chain in East Asia Production Network -An International Input-output Model Based Analysis," EcoMod2009 21500090, EcoMod.
    15. Annick Laruelle & Ricardo Martınez & Federico Valenciano, 2006. "Success Versus Decisiveness," Journal of Theoretical Politics, , vol. 18(2), pages 185-205, April.
    16. D'ora Gr'eta Petr'oczy & Mark Francis Rogers & L'aszl'o 'A. K'oczy, 2018. "Brexit: The Belated Threat," Papers 1808.05142, arXiv.org.
    17. Yener Kandogan, 2003. "DEMOCRACY???S SPREAD: Elections and Sovereign Debt in Developing Countries," William Davidson Institute Working Papers Series 2003-576, William Davidson Institute at the University of Michigan.
    18. Hatvani, Ákos & Petróczy, Dóra Gréta, 2025. "A priori szavazási erő az Európai Unió Tanácsában. A demográfiai változások hatása a Tanács döntéshozatalára [A priori voting power in the Council of the European Union. The impact of demographic s," Közgazdasági Szemle (Economic Review - monthly of the Hungarian Academy of Sciences), Közgazdasági Szemle Alapítvány (Economic Review Foundation), vol. 0(2), pages 158-177.
    19. Le Breton, Michel & Montero, Maria & Zaporozhets, Vera, 2012. "Voting power in the EU council of ministers and fair decision making in distributive politics," Mathematical Social Sciences, Elsevier, vol. 63(2), pages 159-173.
    20. Mika Widgrén, 2008. "The Impact of Council's Internal Decision-Making Rules on the Future EU," Discussion Papers 26, Aboa Centre for Economics.

    More about this item

    NEP fields

    This paper has been announced in the following NEP Reports:

    Statistics

    Access and download statistics

    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:arx:papers:2508.08914. 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: arXiv administrators (email available below). General contact details of provider: http://arxiv.org/ .

    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.