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Monotonicity of power in games with a priori unions

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  • J. Alonso-Meijide
  • C. Bowles
  • M. Holler
  • S. Napel

Abstract

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Suggested Citation

  • J. Alonso-Meijide & C. Bowles & M. Holler & S. Napel, 2009. "Monotonicity of power in games with a priori unions," Theory and Decision, Springer, vol. 66(1), pages 17-37, January.
    • Handle: RePEc:kap:theord:v:66:y:2009:i:1:p:17-37
    DOI: 10.1007/s11238-008-9114-2
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    References listed on IDEAS

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    1. Manfred J. Holler & Stefan Napel, 2004. "Monotonicity of power and power measures," Theory and Decision, Springer, vol. 56(2_2), pages 93-111, February.
    2. Dan Felsenthal & Moshé Machover, 2005. "Voting power measurement: a story of misreinvention," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 25(2), pages 485-506, December.
    3. Amer, Rafael & Carreras, Francese & Gimenez, Jose Miguel, 2002. "The modified Banzhaf value for games with coalition structure: an axiomatic characterization," Mathematical Social Sciences, Elsevier, vol. 43(1), pages 45-54, January.
    4. J. Alonso-Meijide & F. Carreras & M. Fiestras-Janeiro, 2005. "The Multilinear Extension and the Symmetric Coalition Banzhaf Value," Theory and Decision, Springer, vol. 59(2), pages 111-126, September.
    5. Hamiache, Gerard, 1999. "A new axiomatization of the Owen value for games with coalition structures," Mathematical Social Sciences, Elsevier, vol. 37(3), pages 281-305, May.
    6. José Alonso-Meijide & M. Fiestras-Janeiro, 2002. "Modification of the Banzhaf Value for Games with a Coalition Structure," Annals of Operations Research, Springer, vol. 109(1), pages 213-227, January.
    7. Manfred Holler & Stefan Napel, 2005. "Local monotonicity of power: Axiom or just a property?," Quality & Quantity: International Journal of Methodology, Springer, vol. 38(5), pages 637-647, January.
    8. Kauppi, Heikki & Widgren, Mika, 2007. "Voting rules and budget allocation in the enlarged EU," European Journal of Political Economy, Elsevier, vol. 23(3), pages 693-706, September.
    9. Leech, Dennis & Leech, Robert, 2004. "Voting Power in the Bretton Woods Institutions," The Warwick Economics Research Paper Series (TWERPS) 718, University of Warwick, Department of Economics.
    10. Winter, Eyal, 1992. "The consistency and potential for values of games with coalition structure," Games and Economic Behavior, Elsevier, vol. 4(1), pages 132-144, January.
    11. A. Laruelle & F. Valenciano, 2004. "On The Meaning Of Owen--Banzhaf Coalitional Value In Voting Situations," Theory and Decision, Springer, vol. 56(2_2), pages 113-123, February.
    12. J. Alonso-Meijide & C. Bowles, 2005. "Generating Functions for Coalitional Power Indices: An Application to the IMF," Annals of Operations Research, Springer, vol. 137(1), pages 21-44, July.
    13. Dan S. Felsenthal & Moshé Machover, 1998. "The Measurement of Voting Power," Books, Edward Elgar Publishing, number 1489.
    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. Turnovec, Frantisek, 1997. "Monotonicity of Power Indices," East European Series 41, Institute for Advanced Studies.
    16. Vazquez-Brage, M. & van den Nouweland, A. & Garcia-Jurado, I., 1997. "Owen's coalitional value and aircraft landing fees," Mathematical Social Sciences, Elsevier, vol. 34(3), pages 273-286, October.
    17. A. Laruelle & F. Valenciano, 2004. "On The Meaning Of Owen–Banzhaf Coalitional Value In Voting Situations," Theory and Decision, Springer, vol. 56(1), pages 113-123, April.
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    Citations

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    Cited by:

    1. Badinger, Harald & Mühlböck, Monika & Nindl, Elisabeth & Reuter, Wolf Heinrich, 2014. "Theoretical vs. empirical power indices: Do preferences matter?," European Journal of Political Economy, Elsevier, vol. 36(C), pages 158-176.
    2. Elena Mielcová, 2010. "The Uncertainty in Voting Power: The Case of the Czech Parliament 1996–2004," Czech Economic Review, Charles University Prague, Faculty of Social Sciences, Institute of Economic Studies, vol. 4(2), pages 201-222, June.
    3. 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.
    4. Napel, Stefan & Nohn, Andreas & Alonso-Meijide, José Maria, 2012. "Monotonicity of power in weighted voting games with restricted communication," Mathematical Social Sciences, Elsevier, vol. 64(3), pages 247-257.

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    More about this item

    Keywords

    Monotonicity; Voting power; Coalitional values; Coalition structures; A priori unions; C71;
    All these keywords.

    JEL classification:

    • C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games

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