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A critical reappraisal of some voting power paradoxes

  • Annick Laruelle
  • Federico Valenciano

    ()

Power indices are meant to assess the power that a voting rule confers a priori to each of the decision makers who use it. In order to test and compare them, some authors have proposed ‘natural’ postulates that a measure of a priori voting power ‘should’ satisfy, the violations of which are called ‘voting power paradoxes.’ In this paper two general measures of success and decisiveness based on the voting rule and voters' behavior and some of these postulates/paradoxes test each other. As a result serious doubts are cast on the discriminating power of most voting power postulates. Copyright Springer Science + Business Media, Inc. 2005

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File URL: http://hdl.handle.net/10.1007/s11127-005-3408-5
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Article provided by Springer in its journal Public Choice.

Volume (Year): 125 (2005)
Issue (Month): 1 (July)
Pages: 17-41

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Handle: RePEc:kap:pubcho:v:125:y:2005:i:1:p:17-41
Contact details of provider: Web page: http://www.springerlink.com/link.asp?id=100332

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  1. van Deemen, Adrian & Rusinowska, Agnieszka, 2003. " Paradoxes of Voting Power in Dutch Politics," Public Choice, Springer, vol. 115(1-2), pages 109-37, April.
  2. Carreras, Francesc & Freixas, Josep & Puente, Maria Albina, 2003. "Semivalues as power indices," European Journal of Operational Research, Elsevier, vol. 149(3), pages 676-687, September.
  3. Robert J. Weber, 1979. "Subjectivity in the Valuation of Games," Cowles Foundation Discussion Papers 515, Cowles Foundation for Research in Economics, Yale University.
  4. Pradeep Dubey & Abraham Neyman & Robert J. Weber, 1979. "Value Theory without Efficiency," Cowles Foundation Discussion Papers 513, Cowles Foundation for Research in Economics, Yale University.
  5. Annick Laruelle & Federico Valenciano, 2005. "Assessing success and decisiveness in voting situations," Social Choice and Welfare, Springer, vol. 24(1), pages 171-197, January.
  6. Federico Valenciano & Annick Laruelle, 2000. "- Power Indices And The Veil Of Ignorance," Working Papers. Serie AD 2000-13, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
  7. Dreyer, Jacob S & Schotter, Andrew, 1980. "Power Relationships in the International Monetary Fund: The Consequences of Quota Changes," The Review of Economics and Statistics, MIT Press, vol. 62(1), pages 97-106, February.
  8. 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.
  9. Vincent Merlin & Annick Laruelle, 2002. "Different least square values, different rankings," Social Choice and Welfare, Springer, vol. 19(3), pages 533-550.
  10. Dan Felsenthal & Moshé Machover & William Zwicker, 1998. "The Bicameral Postulates and Indices of a Priori Voting Power," Theory and Decision, Springer, vol. 44(1), pages 83-116, January.
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