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A Critical Reappraisal Of Some Voting Power Paradoxes

Author

Listed:
  • Federico Valenciano

    () (Universidad del País Vasco)

  • Annick Laruelle

    (Universidad de Alicante)

Abstract

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 factual success and decisiveness based on the voting rule and the voters' behavior, and some of these postulates/paradoxes test each other. As a result serious doubts on the discriminating power of most voting power postulates are cast.

Suggested Citation

  • 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).
  • Handle: RePEc:ivi:wpasad:2004-04
    as

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    References listed on IDEAS

    as
    1. Annick Laruelle & Federico Valenciano, 2005. "Assessing success and decisiveness in voting situations," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 24(1), pages 171-197, January.
    2. Pradeep Dubey & Abraham Neyman & Robert James Weber, 1981. "Value Theory Without Efficiency," Mathematics of Operations Research, INFORMS, vol. 6(1), pages 122-128, February.
    3. van Deemen, Adrian & Rusinowska, Agnieszka, 2003. "Paradoxes of Voting Power in Dutch Politics," Public Choice, Springer, vol. 115(1-2), pages 109-137, April.
    4. Steven J. Brams, 1997. "Game Theory And Emotions," Rationality and Society, , vol. 9(1), pages 91-124, February.
    5. R J Johnston, 1978. "On the Measurement of Power: Some Reactions to Laver," Environment and Planning A, , vol. 10(8), pages 907-914, August.
    6. 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.
    7. 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.
    8. 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).
    9. repec:cup:apsrev:v:48:y:1954:i:03:p:787-792_00 is not listed on IDEAS
    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.
    11. Vincent Merlin & Annick Laruelle, 2002. "Different least square values, different rankings," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 19(3), pages 533-550.
    12. Robert J. Weber, 1979. "Subjectivity in the Valuation of Games," Cowles Foundation Discussion Papers 515, Cowles Foundation for Research in Economics, Yale University.
    Full references (including those not matched with items on IDEAS)

    Citations

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    Cited by:

    1. Freixas, Josep & Pons, Montserrat, 2008. "Circumstantial power: Optimal persuadable voters," European Journal of Operational Research, Elsevier, vol. 186(3), pages 1114-1126, May.
    2. László Á. Kóczy, 2016. "Power Indices When Players can Commit to Reject Coalitions," Homo Oeconomicus: Journal of Behavioral and Institutional Economics, Springer, vol. 33(1), pages 77-91, August.
    3. repec:gam:jgames:v:9:y:2018:i:1:p:1-:d:124945 is not listed on IDEAS
    4. Kóczy Lászlo à ., 2006. "Voting Paradoxes and the Human Intuition," Research Memorandum 048, Maastricht University, Maastricht Research School of Economics of Technology and Organization (METEOR).
    5. László Á. Kóczy, 2009. "Measuring voting power: The paradox of new members vs the null player axiom," Working Paper Series 0903, Óbuda University, Keleti Faculty of Business and Management.
    6. Freixas, Josep & Marciniak, Dorota & Pons, Montserrat, 2012. "On the ordinal equivalence of the Johnston, Banzhaf and Shapley power indices," European Journal of Operational Research, Elsevier, vol. 216(2), pages 367-375.
    7. Carreras, Francesc & Freixas, Josep, 2008. "On ordinal equivalence of power measures given by regular semivalues," Mathematical Social Sciences, Elsevier, vol. 55(2), pages 221-234, March.
    8. Maria Montero & Juan Vidal-Puga, 2012. "A Violation of Monotonicity in a Noncooperative Setting," Discussion Papers 2012-04, The Centre for Decision Research and Experimental Economics, School of Economics, University of Nottingham.

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