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Voting chances instead of voting weights

  • Di Giannatale, Paolo
  • Passarelli, Francesco

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.

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Article provided by Elsevier in its journal Mathematical Social Sciences.

Volume (Year): 65 (2013)
Issue (Month): 3 ()
Pages: 164-173

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Handle: RePEc:eee:matsoc:v:65:y:2013:i:3:p:164-173
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  1. 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.
  2. 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.
  3. Gul, Faruk, 1989. "Bargaining Foundations of Shapley Value," Econometrica, Econometric Society, vol. 57(1), pages 81-95, January.
  4. Philippe Aghion & Alberto Alesina & Francesco Trebbi, 2002. "Endogenous Political Institutions," NBER Working Papers 9006, National Bureau of Economic Research, Inc.
  5. František Turnovec, 2009. "Fairness and Squareness: Fair Decision Making Rules in the EU Council?," Working Papers IES 2009/01, Charles University Prague, Faculty of Social Sciences, Institute of Economic Studies, revised Jan 2009.
  6. Casella, Alessandra, 2005. "Storable votes," Games and Economic Behavior, Elsevier, vol. 51(2), pages 391-419, May.
  7. Alesina, Alberto & Passarelli, Francesco, 2014. "Regulation versus taxation," Journal of Public Economics, Elsevier, vol. 110(C), pages 147-156.
  8. 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.
  9. Barbera, Salvador & Matthew O. Jackson, 2004. "On the Weights of Nations: Assigning Voting Weights in a Heterogeneous Union," Working Papers 1196, California Institute of Technology, Division of the Humanities and Social Sciences.
  10. 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.
  11. Michel Le Breton & Maria Montero & Vera Zaporozhets, 2011. "Voting Power in the EU Council of Ministers and Fair Decision Making in Distributive Politics," Discussion Papers 2011-03, The Centre for Decision Research and Experimental Economics, School of Economics, University of Nottingham.
  12. 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..
  13. 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.
  14. Annick Laruelle & F. Valenciano, 2004. "Inequality in voting power," Post-Print halshs-00109420, HAL.
  15. 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.
  16. Laslier, Jean-François, 2012. "Why not proportional?," Mathematical Social Sciences, Elsevier, vol. 63(2), pages 90-93.
  17. 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.
  18. Alessandra Casella & Shuky Ehrenberg & Andrew Gelman & Jie Shen, 2008. "Protecting Minorities in Large Binary Elections. A Test of Storable Votes Using Field Data," Working Papers halshs-00349037, HAL.
  19. 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).
  20. Laruelle,Annick & Valenciano,Federico, 2008. "Voting and Collective Decision-Making," Cambridge Books, Cambridge University Press, number 9780521873871, November.
  21. van den Brink, J.R., 1999. "An Axiomatization of the Shapley Value Using a Fairness Property," Discussion Paper 1999-120, Tilburg University, Center for Economic Research.
  22. 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.
  23. 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.
  24. Leech, Dennis, 2002. "Designing the Voting System for the Council of the European Union," Public Choice, Springer, vol. 113(3-4), pages 437-64, December.
  25. Sergiu Hart & Andreu Mas-Colell, 1994. "Bargaining and value," Economics Working Papers 114, Department of Economics and Business, Universitat Pompeu Fabra, revised Feb 1995.
  26. 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.
  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. Ansgar Belke & Barbara Schnurbein, 2012. "European monetary policy and the ECB rotation model," Public Choice, Springer, vol. 151(1), pages 289-323, April.
  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. 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, 08.
  31. Jason Barr & Francesco Passarelli, . "Who Has the Power in the EU?," Working Papers Rutgers University, Newark 2004-005, Department of Economics, Rutgers University, Newark.
  32. 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.
  33. 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.
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