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Measuring voting power: The paradox of new members vs the null player axiom

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  • László Á. Kóczy

    ()
    (Budapest Tech)

Abstract

Qualified majority voting is used when decisions are made by voters of different sizes. In such situations the voters' influence on decision making is far from obvious; power measures are used for an indication of the decision making ability. Several power measures have been proposed and characterised by simple axioms to help the choice between them. Unfortunately the power measures also feature a number of so-called paradoxes of voting power. In this paper we show that the Paradox of New Members follows from the Null Player Axiom. As a corollary of this result it follows that there does not exist a power measure that satisfies the axiom, while not exhibiting the Paradox.

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File URL: http://uni-obuda.hu/users/vecseya/RePEc/pkk/wpaper/0903.pdf
File Function: Manuscript, 2009
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Bibliographic Info

Paper provided by Óbuda University, Keleti Faculty of Business and Management in its series Working Paper Series with number 0903.

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Length: 15 pages
Date of creation: 2009
Date of revision:
Handle: RePEc:pkk:wpaper:0903

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Keywords: a priori voting power; paradox of new members; null player axiom;

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References

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  1. Perez-Castrillo, David & Wettstein, David, 2001. "Bidding for the Surplus : A Non-cooperative Approach to the Shapley Value," Journal of Economic Theory, Elsevier, vol. 100(2), pages 274-294, October.
  2. Julien Reynaud & Fabien Lange & Lukasz Gatarek & Christian Thimann, 2007. "Proximity in coalition building," Working Paper Series 0808, Óbuda University, Keleti Faculty of Business and Management, revised Jul 2008.
  3. Daniel Diermeier & Antoni Merlo, 1999. "An Empirical Investigation of Coalitional Bargaining Procedures," Discussion Papers 1267, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
  4. van Deemen, Adrian & Rusinowska, Agnieszka, 2003. " Paradoxes of Voting Power in Dutch Politics," Public Choice, Springer, vol. 115(1-2), pages 109-37, April.
  5. Federico Valenciano & Annick Laruelle, 2004. "A Critical Reappraisal Of Some Voting Power Paradoxes," Working Papers. Serie AD 2004-04, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
  6. R J Johnston, 1978. "On the measurement of power: some reactions to Laver," Environment and Planning A, Pion Ltd, London, vol. 10(8), pages 907-914, August.
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Cited by:
  1. László Á. Kóczy, 2010. "Lisszaboni kilátások," Working Paper Series 1014, Óbuda University, Keleti Faculty of Business and Management.

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