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Assessment Of Voting Situations: The Probabilistic Foundations

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Author Info

  • Federico Valenciano

    ()
    (Universidad del País Vasco)

  • Annick Laruelle

    (Universidad de Alicante)

Abstract

In this paper we revise the probabilistic foundations of the theory of the measurement of 'voting power' either as success or decisiveness. For an assessment of these features two inputs are claimed to be necessary: the voting procedure and the voters' behavior. We propose a simple model in which the voters' behavior is summarized by a probability distribution over all vote configurations. This basic model, at once simpler and more general that other probabilistic models, provides a clear conceptual common basis to reinterpret coherently from a unified point of view di.erent power indices and some related game theoretic notions, as well as a wider perspective for a dispassionate assessment of the power indices themselves, their merits and their limitations.

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File URL: http://www.ivie.es/downloads/docs/wpasad/wpasad-2002-22.pdf
File Function: Fisrt version / Primera version, 2002
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Bibliographic Info

Paper provided by Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie) in its series Working Papers. Serie AD with number 2002-22.

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Length: 40 pages
Date of creation: Nov 2002
Date of revision:
Publication status: Published by Ivie
Handle: RePEc:ivi:wpasad:2002-22

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Related research

Keywords: Voting rules; voting power; decisiveness; success; power indices;

References

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  1. 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.
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Citations

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Cited by:
  1. Mika Widgren, 2003. "Power in the Design of Constitutional Rules," European Economy Group Working Papers 23, European Economy Group.
  2. Mika Widgrén, 2003. "Enlargements and the Principles of Designing EU - Decision-Making Procedures," CESifo Working Paper Series 903, CESifo Group Munich.
  3. Barua, Rana & Chakravarty, Satya R. & Sarkar, Palash, 2009. "Minimal-axiom characterizations of the Coleman and Banzhaf indices of voting power," Mathematical Social Sciences, Elsevier, vol. 58(3), pages 367-375, November.
  4. repec:hal:cesptp:hal-00633613 is not listed on IDEAS
  5. repec:hal:wpaper:hal-00633613 is not listed on IDEAS
  6. Barua, Rana & Chakravarty, Sanya R. & Roy, Sonali, 2007. "On the Coleman Indices of Voting Power," Staff General Research Papers 12810, Iowa State University, Department of Economics.
  7. Federico Valenciano & Annick Laruelle, 2003. "Potential, Value And Probability," Working Papers. Serie AD 2003-01, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
  8. Napel,S. & Widgren,M., 2002. "Power measurement as sensitivity analysis : a unified approach," Working Papers 345, Bielefeld University, Center for Mathematical Economics.
  9. 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.
  10. Federico Valenciano & Annick Laruelle & Ricardo Martínez, 2004. "On The Difficulty Of Making Decisions Within The Eu-25," Working Papers. Serie AD 2004-15, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
  11. Widgrén, Mika, 2008. "The Impact of Council Voting Rules on EU Decision-Making," Discussion Papers 1162, The Research Institute of the Finnish Economy.

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