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Analysis of the 2025 Bundestag elections. Part 1 of 4: Imperfection of the electoral reform

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  • Tanguiane, Andranick S.

Abstract

This is the first of four articles on the 2025 German federal elections, continuing our analysis of the 2009, 2013, 2017 and 2021 elections. We begin with the 2023/24 electoral reform, which aimed to curb the uncontrolled growth of the Bundestag caused by political developments not envisaged in the original election rules. The reform fixes the size of the Bundestag at 630 members and introduces limits to parties' mandates at the level of federal states (Länder). All this makes the proportional allocation of Bundestag seats to parties less accurate and skews the balance between the two concepts implemented in the German mixed-member proportional representation system - the descriptive one (parliament consists of local representatives in order to 'mirror' the society) and the agent one (parliament consists of credible political experts from political parties) - in favor of the agent concept at the expense of the descriptive one. We show that the accuracy of Bundestag seat allocation to parties can be improved by applying modern discrete optimization techniques instead of the currently used historical Sainte-Lague/Webster method. The balance between the two concepts of representation can be restored by replacing the official two-tier distribution of Bundestag seats between federal state party associations with that computed directly in one step. Finally, all apportionment problems can be completely solved by introducing adjustment vote weights. All these devices are illustrated using hypothetical redistributions of Bundestag seats.

Suggested Citation

  • Tanguiane, Andranick S., 2025. "Analysis of the 2025 Bundestag elections. Part 1 of 4: Imperfection of the electoral reform," Working Paper Series in Economics 167, Karlsruhe Institute of Technology (KIT), Department of Economics and Management.
  • Handle: RePEc:zbw:kitwps:320437
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    References listed on IDEAS

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    1. Andranik Tangian, 2014. "Mathematical Theory of Democracy," Studies in Choice and Welfare, Springer, edition 127, number 978-3-642-38724-1, June.
    2. 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.
    3. 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.
    4. M. L. Balinski & H. P. Young, 1979. "Criteria for Proportional Representation," Operations Research, INFORMS, vol. 27(1), pages 80-95, February.
    5. Andranik Tangian, 2020. "Analytical Theory of Democracy," Studies in Choice and Welfare, Springer, number 978-3-030-39691-6, June.
    6. Andranik Tangian, 2017. "Policy Representation of a Parliament: The Case of the German Bundestag 2013 Elections," Group Decision and Negotiation, Springer, vol. 26(1), pages 151-179, January.
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    JEL classification:

    • D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations

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