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Power indices when players can commit to reject coalitions

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  • 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," CERS-IE 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. Serguei Kaniovski & Dennis Leech, 2009. "A behavioral power index," Public Choice, Springer, vol. 141(1), pages 17-29, October.
    4. Annick Laruelle & Federico Valenciano, 2005. "A critical reappraisal of some voting power paradoxes," Public Choice, Springer, vol. 125(1), pages 17-41, July.
    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. 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.
    8. R J Johnston, 1978. "On the Measurement of Power: Some Reactions to Laver," Environment and Planning A, , vol. 10(8), pages 907-914, August.
    9. Bernard Steunenberg & Dieter Schmidtchen & Christian Koboldt, 1999. "Strategic Power in the European Union," Journal of Theoretical Politics, , vol. 11(3), pages 339-366, July.
    10. 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.
    11. Kaniovski, Serguei & Leech, Dennia, 2009. "A behavioral power index," Economic Research Papers 269780, University of Warwick - Department of Economics.
    12. 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. Tobias Hiller, 2018. "The Effects of Excluding Coalitions," Games, MDPI, Open Access Journal, vol. 9(1), pages 1-7, January.
    2. László Á. Kóczy, 2018. "Partition Function Form Games," Theory and Decision Library C, Springer, number 978-3-319-69841-0, December.

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    More about this item

    Keywords

    quarrelling; rejected coalitions; a priori voting power; power indices; minimal winning coalitions; rational players;
    All these keywords.

    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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