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Voting chances instead of voting weights

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  • Di Giannatale, Paolo
  • Passarelli, Francesco

Abstract

We study political distortions that emerge in situations where agents’ political power is disproportionate with respect to their economic power. We use the Shapley value to evaluate both the economic and the political power. We show that usual weighted majority voting cannot prevent political distortions from emerging in a huge mass of situations. Distortions are less severe if partners can leave the union at low cost.

Suggested Citation

  • Di Giannatale, Paolo & Passarelli, Francesco, 2013. "Voting chances instead of voting weights," Mathematical Social Sciences, Elsevier, vol. 65(3), pages 164-173.
  • Handle: RePEc:eee:matsoc:v:65:y:2013:i:3:p:164-173
    DOI: 10.1016/j.mathsocsci.2012.12.003
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    1. Casella Alessandra & Ehrenberg Shuky & Gelman Andrew & Shen Jie, 2010. "Protecting Minorities in Large Binary Elections: A Test of Storable Votes Using Field Data," The B.E. Journal of Economic Analysis & Policy, De Gruyter, vol. 10(1), pages 1-35, October.
    2. Laslier, Jean-François, 2012. "Why not proportional?," Mathematical Social Sciences, Elsevier, vol. 63(2), pages 90-93.
    3. Laruelle,Annick & Valenciano,Federico, 2011. "Voting and Collective Decision-Making," Cambridge Books, Cambridge University Press, number 9780521182638, April.
    4. Barr, Jason & Passarelli, Francesco, 2009. "Who has the power in the EU?," Mathematical Social Sciences, Elsevier, vol. 57(3), pages 339-366, May.
    5. Le Breton, Michel & Montero, Maria & Zaporozhets, Vera, 2012. "Voting power in the EU council of ministers and fair decision making in distributive politics," Mathematical Social Sciences, Elsevier, vol. 63(2), pages 159-173.
    6. repec:cup:apsrev:v:83:y:1989:i:04:p:1181-1206_08 is not listed on IDEAS
    7. Francesco Passarelli & Jason Barr, 2007. "Preferences, the Agenda Setter, and the Distribution of Power in the EU," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 28(1), pages 41-60, January.
    8. Baldwin, Richard & Widgrén, Mika, 2004. "Winners and Losers Under Various Dual Majority Rules for the EU Council of Ministers," CEPR Discussion Papers 4450, C.E.P.R. Discussion Papers.
    9. Alessandra Casella & Thomas Palfrey & Raymond Riezman, 2013. "Minorities and Storable Votes," World Scientific Book Chapters,in: International Trade Agreements and Political Economy, chapter 15, pages 247-282 World Scientific Publishing Co. Pte. Ltd..
    10. Salvador Barbera & Matthew O. Jackson, 2006. "On the Weights of Nations: Assigning Voting Weights in a Heterogeneous Union," Journal of Political Economy, University of Chicago Press, vol. 114(2), pages 317-339, April.
    11. Dan S Felsenthal & Moshé Machover, 2004. "Analysis of QM rules in the draft constitution for Europe proposed by the European Convention, 2003," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 23(1), pages 1-20, August.
    12. František Turnovec, 2009. "Fairness and squareness: fair decision making rules in the EU Council?," Operations Research and Decisions, Wroclaw University of Technology, Institute of Organization and Management, vol. 4, pages 110-124.
    13. René van den Brink, 2002. "An axiomatization of the Shapley value using a fairness property," International Journal of Game Theory, Springer;Game Theory Society, vol. 30(3), pages 309-319.
    14. Philippe Aghion & Alberto Alesina & Francesco Trebbi, 2004. "Endogenous Political Institutions," The Quarterly Journal of Economics, Oxford University Press, vol. 119(2), pages 565-611.
    15. Stefan Napel & Mika Widgrén, 2006. "The Inter-Institutional Distribution of Power in EU Codecision," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 27(1), pages 129-154, August.
    16. Laruelle, Annick & Valenciano, Federico, 2008. "Noncooperative foundations of bargaining power in committees and the Shapley-Shubik index," Games and Economic Behavior, Elsevier, vol. 63(1), pages 341-353, May.
    17. James M. Snyder Jr. & Michael M. Ting & Stephen Ansolabehere, 2005. "Legislative Bargaining under Weighted Voting," American Economic Review, American Economic Association, vol. 95(4), pages 981-1004, September.
    18. Sven Berg & Manfred Holler, 1986. "Randomized decision rules in voting games: a model for strict proportional power," Quality & Quantity: International Journal of Methodology, Springer, vol. 20(4), pages 419-429, December.
    19. Fuad Aleskerov, 2008. "Power distribution in the electoral body with an application to the Russian Parliament," ICER Working Papers - Applied Mathematics Series 11-2008, ICER - International Centre for Economic Research.
    20. 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).
    21. Casella, Alessandra, 2005. "Storable votes," Games and Economic Behavior, Elsevier, vol. 51(2), pages 391-419, May.
    22. Winter, Eyal, 2002. "The shapley value," Handbook of Game Theory with Economic Applications,in: R.J. Aumann & S. Hart (ed.), Handbook of Game Theory with Economic Applications, edition 1, volume 3, chapter 53, pages 2025-2054 Elsevier.
    23. Laruelle, Annick & Valenciano, Federico, 2007. "Bargaining in committees as an extension of Nash's bargaining theory," Journal of Economic Theory, Elsevier, vol. 132(1), pages 291-305, January.
    24. Alesina, Alberto & Passarelli, Francesco, 2014. "Regulation versus taxation," Journal of Public Economics, Elsevier, vol. 110(C), pages 147-156.
    25. Ansgar Belke & Barbara Schnurbein, 2012. "European monetary policy and the ECB rotation model," Public Choice, Springer, vol. 151(1), pages 289-323, April.
    26. Stefano Benati & Giuseppe Vittucci Marzetti, 2013. "Probabilistic spatial power indexes," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 40(2), pages 391-410, February.
    27. Moshé Machover & Dan S. Felsenthal, 2001. "The Treaty of Nice and qualified majority voting," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 18(3), pages 431-464.
    28. Hart, Sergiu & Mas-Colell, Andreu, 1996. "Bargaining and Value," Econometrica, Econometric Society, vol. 64(2), pages 357-380, March.
    29. Laruelle, Annick & Valenciano, Federico, 2009. "Cooperative bargaining foundations of the Shapley-Shubik index," Games and Economic Behavior, Elsevier, vol. 65(1), pages 242-255, January.
    30. Annick Laruelle & Federico Valenciano, 2004. "Inequality in voting power," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 22(2), pages 413-431, April.
    31. Stefan Napel & Mika Widgrén, 2011. "Strategic versus non-strategic voting power in the EU Council of Ministers: the consultation procedure," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 37(3), pages 511-541, September.
    32. Gul, Faruk, 1989. "Bargaining Foundations of Shapley Value," Econometrica, Econometric Society, vol. 57(1), pages 81-95, January.
    33. Frantisek Turnovec, 2009. "Fairness and squareness: fair decision making rules in the eu council?," Operations Research and Decisions, Wroclaw University of Technology, Institute of Organization and Management, vol. 4, pages 110-124.
    34. repec:cup:apsrev:v:48:y:1954:i:03:p:787-792_00 is not listed on IDEAS
    35. Leech, Dennis, 2002. "Designing the Voting System for the Council of the European Union," Public Choice, Springer, vol. 113(3-4), pages 437-464, December.
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    Cited by:

    1. Alesina, Alberto & Passarelli, Francesco, 2014. "Regulation versus taxation," Journal of Public Economics, Elsevier, vol. 110(C), pages 147-156.
    2. Marco Alderighi & Christophe Feder, 2014. "Political competition, power allocation and welfare in unitary and federal systems," Working Paper series 23_14, Rimini Centre for Economic Analysis.

    More about this item

    JEL classification:

    • D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations
    • C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games
    • D72 - Microeconomics - - Analysis of Collective Decision-Making - - - Political Processes: Rent-seeking, Lobbying, Elections, Legislatures, and Voting Behavior

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