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Power indices when players can commit to reject coalitions

Author

Listed:
  • László Á. Kóczy

    (Institute of Economics, Centre for Economic and Regional Studies, Hungarian Academy of Sciences and Keleti Faculty of Economics, Óbuda University)

Abstract

Power indices have been used to evaluate the allocation of power in a wide range of voting situations. While they use the language of game theory known measures of a priori voting power are hardly more than statistical expectations assuming the random behaviour of the players. We introduce a model where players can reject certain partnerships in cooperation. For normalised indices strategic rejection may increase power. Our notion of a strategic power index is well defined if power is measured by an index that takes only minimal winning coalitions into account.

Suggested Citation

  • László Á. Kóczy, 2014. "Power indices when players can commit to reject coalitions," KRTK-KTI WORKING PAPERS 1431, Institute of Economics, Centre for Economic and Regional Studies.
    • Handle: RePEc:has:discpr:1431
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    References listed on IDEAS

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    1. van Deemen, Adrian & Rusinowska, Agnieszka, 2003. "Paradoxes of Voting Power in Dutch Politics," Public Choice, Springer, vol. 115(1-2), pages 109-137, April.
    2. Helge Berger & Till Mueller, 2007. "How should large and small countries be represented in a currency union?," Public Choice, Springer, vol. 132(3), pages 471-484, September.
    3. Annick Laruelle & Federico Valenciano, 2005. "A critical reappraisal of some voting power paradoxes," Public Choice, Springer, vol. 125(1), pages 17-41, July.
    4. Roger B. Myerson, 1977. "Graphs and Cooperation in Games," Mathematics of Operations Research, INFORMS, vol. 2(3), pages 225-229, August.
    5. Matthew Braham & Manfred J. Holler, 2005. "The Impossibility of a Preference-Based Power Index," Journal of Theoretical Politics, , vol. 17(1), pages 137-157, January.
    6. 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.
    7. repec:cup:apsrev:v:48:y:1954:i:03:p:787-792_00 is not listed on IDEAS
    8. Serguei Kaniovski & Dennis Leech, 2009. "A behavioral power index," Public Choice, Springer, vol. 141(1), pages 17-29, October.
    9. R J Johnston, 1978. "On the Measurement of Power: Some Reactions to Laver," Environment and Planning A, , vol. 10(8), pages 907-914, August.
    10. Bernard Steunenberg & Dieter Schmidtchen & Christian Koboldt, 1999. "Strategic Power in the European Union," Journal of Theoretical Politics, , vol. 11(3), pages 339-366, July.
    11. Faigle, U & Kern, W, 1992. "The Shapley Value for Cooperative Games under Precedence Constraints," International Journal of Game Theory, Springer;Game Theory Society, vol. 21(3), pages 249-266.
    12. Kaniovski, Serguei & Leech, Dennia, "undated". "A behavioral power index," Economic Research Papers 269780, University of Warwick - Department of Economics.
    13. 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.
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    Cited by:

    1. Anastasia Brooks & Franjo Šarčević & Ismar Volić, 2026. "Weighted simple games and the topology of simplicial complexes," Theory and Decision, Springer, vol. 100(2), pages 497-530, March.
    2. László Á. Kóczy, 2018. "Partition Function Form Games," Theory and Decision Library C, Springer, number 978-3-319-69841-0, January.
    3. Livino M. Armijos-Toro & José M. Alonso-Meijide & Manuel A. Mosquera, 2024. "Mergeable weighted majority games and characterizations of some power indices," Annals of Operations Research, Springer, vol. 336(3), pages 1373-1393, May.
    4. Tobias Hiller, 2018. "The Effects of Excluding Coalitions," Games, MDPI, vol. 9(1), pages 1-7, January.

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    JEL classification:

    • C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games
    • D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations

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