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Local monotonicity of power: Axiom or just a property?

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  • Manfred Holler
  • Stefan Napel

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  • 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.
  • Handle: RePEc:spr:qualqt:v:38:y:2005:i:5:p:637-647
    DOI: 10.1007/s11135-005-4755-5
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    References listed on IDEAS

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    1. Federico Valenciano & Annick Laruelle, 2002. "Assessment Of Voting Situations: The Probabilistic Foundations," Working Papers. Serie AD 2002-22, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
    2. Stenlund, Hans & Lane, Jan-Erik & Bjurulf, Bo, 1985. "Formal and real voting power," European Journal of Political Economy, Elsevier, vol. 1(1), pages 59-75.
    3. Philip Straffin, 1977. "Homogeneity, independence, and power indices," Public Choice, Springer, vol. 30(1), pages 107-118, June.
    4. Mika Widgrén & Stefan Napel, 2001. "Inferior players in simple games," International Journal of Game Theory, Springer;Game Theory Society, vol. 30(2), pages 209-220.
    5. 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.
    6. Moshé Machover & Dan S. Felsenthal, 2001. "The Treaty of Nice and qualified majority voting," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 18(3), pages 431-464.
    7. Stefan Napel & Mika Widgrén, 2002. "Strategic Power Revisited," CESifo Working Paper Series 736, CESifo.
    8. Steven J. Brams & Peter C. Fishburn, 1995. "When is Size a Liability?," Journal of Theoretical Politics, , vol. 7(3), pages 301-316, July.
    9. Stefan Napel & Mika Widgren, 2004. "Power Measurement as Sensitivity Analysis," Journal of Theoretical Politics, , vol. 16(4), pages 517-538, October.
    10. Napel, Stefan & Widgrén, Mika, 2017. "Power measurement as sensitivity analysis: a unified approach," Center for Mathematical Economics Working Papers 345, Center for Mathematical Economics, Bielefeld University.
    11. Manfred Holler & Rie Ono & Frank Steffen, 2001. "Constrained Monotonicity and the Measurement of Power," Theory and Decision, Springer, vol. 50(4), pages 383-395, June.
    12. R. Myerson, 2010. "Nash Equilibrium and the History of Economic Theory," Voprosy Ekonomiki, NP Voprosy Ekonomiki, issue 6.
    13. Brams, Steven J. & Fishburn, Peter C., 1994. "When is Size a Liability? Bargaining Power in Minimal Winning Coalitions," Working Papers 94-07, C.V. Starr Center for Applied Economics, New York University.
    14. Guillermo Owen, 1972. "Multilinear Extensions of Games," Management Science, INFORMS, vol. 18(5-Part-2), pages 64-79, January.
    15. Hannu Nurmi, 2000. "Game-Theoretical Approaches to the EU Institutions: An Overview and Evaluation," Homo Oeconomicus, Institute of SocioEconomics, vol. 16, pages 363-390.
    16. 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. J. M. Alonso-Meijide & M. Álvarez-Mozos & M. G. Fiestras-Janeiro, 2017. "Power Indices and Minimal Winning Coalitions for Simple Games in Partition Function Form," Group Decision and Negotiation, Springer, vol. 26(6), pages 1231-1245, November.
    2. Manfred J. Holler & Stefan Napel, 2004. "Monotonicity of power and power measures," Theory and Decision, Springer, vol. 56(2_2), pages 93-111, February.
    3. 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.

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