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Measuring The Power Of Parties Within Government Coalitions

Author

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  • HARALD WIESE

    (Universität Leipzig, Postfach 920, 04009 Leipzig, Germany)

Abstract

The paper presents a coalition-structure value that is meant to capture outside options of players in a cooperative game. It deviates from the Aumann-Drèze value by violating the null-player axiom. We use this value as a power index and apply it to weighted majority games.

Suggested Citation

  • Harald Wiese, 2007. "Measuring The Power Of Parties Within Government Coalitions," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 9(02), pages 307-322.
    • Handle: RePEc:wsi:igtrxx:v:09:y:2007:i:02:n:s0219198907001412
    DOI: 10.1142/S0219198907001412
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    References listed on IDEAS

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    1. Steven J. Brams & Todd R. Kaplan, 2002. "Dividing the Indivisible: Procedures for Allocating Cabinet Ministries to Political Parties in a Parliamentary System," Discussion Papers 0202, University of Exeter, Department of Economics.
    2. Brams, Steven J. & Kaplan, Todd R., 2017. "Dividing the indivisible: procedures for allocation cabinet ministries to political parties in a parlamentary system," Center for Mathematical Economics Working Papers 340, Center for Mathematical Economics, Bielefeld University.
    3. Brams,S.L. & Kaplan,T.R., 2002. "Dividing the indivisible : procedures for allocating cabinet ministries to political parties in a parliamentary system," Center for Mathematical Economics Working Papers 340, Center for Mathematical Economics, Bielefeld University.
    Full references (including those not matched with items on IDEAS)

    Citations

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    Cited by:

    1. Tobias Hiller, 2022. "Abilities and the structure of the firm," International Review of Economics, Springer;Happiness Economics and Interpersonal Relations (HEIRS), vol. 69(3), pages 339-349, September.
    2. André Casajus, 2010. "Another characterization of the Owen value without the additivity axiom," Theory and Decision, Springer, vol. 69(4), pages 523-536, October.
    3. Mario Guajardo & Kurt Jörnsten & Mikael Rönnqvist, 2016. "Constructive and blocking power in collaborative transportation," OR Spectrum: Quantitative Approaches in Management, Springer;Gesellschaft für Operations Research e.V., vol. 38(1), pages 25-50, January.
    4. Piolatto, Amedeo, 2011. "Plurality versus proportional electoral rule: Which is most representative of voters?," European Journal of Political Economy, Elsevier, vol. 27(2), pages 311-327, June.
    5. Antonio Magaña & Francesc Carreras, 2018. "Coalition Formation and Stability," Group Decision and Negotiation, Springer, vol. 27(3), pages 467-502, June.
    6. Abe, Takaaki & Nakada, Satoshi, 2023. "The in-group egalitarian Owen values," Games and Economic Behavior, Elsevier, vol. 142(C), pages 1-16.
    7. Tobias Hiller, 2015. "The $$\chi $$ χ value and team games," Theory and Decision, Springer, vol. 78(4), pages 539-548, April.
    8. Tobias Hiller, 2018. "On the Stability of Couples," Games, MDPI, vol. 9(3), pages 1-10, July.
    9. Hiller Tobias, 2021. "Who Bears an Employee’s Special Annual Payment?," Review of Law & Economics, De Gruyter, vol. 17(1), pages 223-237, March.
    10. Takaaki Abe, 2018. "Stable coalition structures in symmetric majority games: a coincidence between myopia and farsightedness," Theory and Decision, Springer, vol. 85(3), pages 353-374, October.
    11. Abe, Takaaki, 2021. "Stability and values for games with coalition structures," Economics Letters, Elsevier, vol. 200(C).
    12. Tobias Hiller, 2011. "Effizienz und Stabilität von Zweckverbänden," Review of Regional Research: Jahrbuch für Regionalwissenschaft, Springer;Gesellschaft für Regionalforschung (GfR), vol. 31(1), pages 1-9, June.
    13. Casajus, André, 2008. "On the stability of coalition structures," Economics Letters, Elsevier, vol. 100(2), pages 271-274, August.
    14. Takaaki Abe, 2019. "Stable Coalition Structures: Characterizations and Applications of Hart and Kurz's Four Stability Concepts," Working Papers 1812, Waseda University, Faculty of Political Science and Economics.
    15. Tobias Hiller, 2011. "A note on χ-values," International Review of Economics, Springer;Happiness Economics and Interpersonal Relations (HEIRS), vol. 58(4), pages 433-438, December.
    16. Julia Belau, 2013. "An outside-option-sensitive allocation rule for networks: the kappa-value," Economic Theory Bulletin, Springer;Society for the Advancement of Economic Theory (SAET), vol. 1(2), pages 175-188, November.
    17. Casajus, André & Tutić, Andreas, 2013. "Nash bargaining, Shapley threats, and outside options," Mathematical Social Sciences, Elsevier, vol. 66(3), pages 262-267.
    18. Tobias Hiller, 2022. "Allocation of portfolio risk and outside options," Managerial and Decision Economics, John Wiley & Sons, Ltd., vol. 43(7), pages 2845-2848, October.
    19. Xianghui Li & Yang Li, 2021. "On the Structural Stability of Values for Cooperative Games," Journal of Optimization Theory and Applications, Springer, vol. 189(3), pages 873-888, June.
    20. Casajus, André, 2009. "Outside options, component efficiency, and stability," Games and Economic Behavior, Elsevier, vol. 65(1), pages 49-61, January.
    21. Tobias Hiller, 2023. "Training, Abilities and the Structure of Teams," Games, MDPI, vol. 14(3), pages 1-8, May.
    22. Antônio Francisco Neto, 2019. "Generating Functions of Weighted Voting Games, MacMahon’s Partition Analysis, and Clifford Algebras," Mathematics of Operations Research, INFORMS, vol. 44(1), pages 74-101, February.
    23. Casajus, André & La Mura, Pierfrancesco, 2024. "Null players, outside options, and stability: The conditional Shapley value," Journal of Mathematical Economics, Elsevier, vol. 110(C).
    24. Andreas Tutic & Stefan Pfau & André Casajus, 2011. "Experiments on bilateral bargaining in markets," Theory and Decision, Springer, vol. 70(4), pages 529-546, April.
    25. Hiller, Tobias, 2017. "Quantitative overeducation and cooperative game theory," Economics Letters, Elsevier, vol. 152(C), pages 36-40.

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    More about this item

    Keywords

    Power; government coalition; outside option; Aumann-Drèze value; Shapley value; null-player axiom; JEL Classification: C71; JEL Classification: H1;
    All these keywords.

    JEL classification:

    • B4 - Schools of Economic Thought and Methodology - - Economic Methodology
    • C0 - Mathematical and Quantitative Methods - - General
    • C6 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling
    • C7 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory
    • D5 - Microeconomics - - General Equilibrium and Disequilibrium
    • D7 - Microeconomics - - Analysis of Collective Decision-Making
    • M2 - Business Administration and Business Economics; Marketing; Accounting; Personnel Economics - - Business Economics

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