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Power indices and minimal winning coalitions

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  • Werner Kirsch
  • Jessica Langner

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  • Werner Kirsch & Jessica Langner, 2010. "Power indices and minimal winning coalitions," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 34(1), pages 33-46, January.
    • Handle: RePEc:spr:sochwe:v:34:y:2010:i:1:p:33-46
    DOI: 10.1007/s00355-009-0387-3
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    References listed on IDEAS

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    1. Annick Laruelle & Federico Valenciano, 2005. "Assessing success and decisiveness in voting situations," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 24(1), pages 171-197, January.
    2. Dennis Leech, 2003. "Computing Power Indices for Large Voting Games," Management Science, INFORMS, vol. 49(6), pages 831-837, June.
    3. Pradeep Dubey & Lloyd S. Shapley, 1979. "Mathematical Properties of the Banzhaf Power Index," Mathematics of Operations Research, INFORMS, vol. 4(2), pages 99-131, May.
    4. 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.
    5. Leech, D., 1998. "Computing Power Indices for Large Voting Games: A New Algorithm," The Warwick Economics Research Paper Series (TWERPS) 510, University of Warwick, Department of Economics.
    6. Leech, Dennis, 2002. "Computation of Power Indices," The Warwick Economics Research Paper Series (TWERPS) 644, University of Warwick, Department of Economics.
    7. Felsenthal, Dan S & Machover, Moshe, 1998. "The Product Paradox of Voting Power," Public Choice, Springer, vol. 96(1-2), pages 81-92, July.
    8. Leech, Dennis, 2002. "Computation Of Power Indices," Economic Research Papers 269457, University of Warwick - Department of Economics.
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    Cited by:

    1. Monisankar Bishnu & Sonali Roy, 2012. "Hierarchy of players in swap robust voting games," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 38(1), pages 11-22, January.
    2. Boratyn, Daria & Kirsch, Werner & Słomczyński, Wojciech & Stolicki, Dariusz & Życzkowski, Karol, 2020. "Average weights and power in weighted voting games," Mathematical Social Sciences, Elsevier, vol. 108(C), pages 90-99.
    3. Antônio Francisco Neto & Carolina Rodrigues Fonseca, 2019. "An approach via generating functions to compute power indices of multiple weighted voting games with incompatible players," Annals of Operations Research, Springer, vol. 279(1), pages 221-249, August.
    4. Aleksei Y. Kondratev & Vladimir V. Mazalov, 2020. "Tournament solutions based on cooperative game theory," International Journal of Game Theory, Springer;Game Theory Society, vol. 49(1), pages 119-145, March.
    5. Debabrata Pal, 2021. "Does everyone have equal voting power?," Indian Economic Review, Springer, vol. 56(2), pages 515-525, December.

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