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

  • László Á. Kóczy

    ()

    (Budapest Tech)

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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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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  1. Julien Reynaud & Fabien Lange & Łukasz Gątarek & Christian Thimann, 2011. "Proximity in Coalition Building," Central European Journal of Economic Modelling and Econometrics, CEJEME, vol. 3(3), pages 111-132, September.
  2. 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).
  3. 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.
  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. 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.
  6. Diermeier, Daniel & Merlo, Antonio, 2004. "An empirical investigation of coalitional bargaining procedures," Journal of Public Economics, Elsevier, vol. 88(3-4), pages 783-797, March.
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