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On the Coleman Indices of Voting Power

  • Barua, Rana
  • Chakravarty, Sanya R.
  • Roy, Sonali

Coleman [1971. Control of collectives and the power of a collectivity to act. In: Lieberman, B. (Ed.), Social Choice. Gordon and Breach, New York, pp. 269-298] suggested two indices of voting power, power to prevent an action and power to initiate an action. This paper rigorously demonstrates relationship between the two indices and shows that they satisfy several attractive properties.

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Paper provided by Iowa State University, Department of Economics in its series Staff General Research Papers Archive with number 12810.

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Date of creation: 07 May 2007
Date of revision:
Publication status: Published in European Journal of Operational Research, May 2006, vol. 171 no. 1, pp. 273-289
Handle: RePEc:isu:genres:12810
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Iowa State University, Dept. of Economics, 260 Heady Hall, Ames, IA 50011-1070

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  1. Federico Valenciano & Annick Laruelle, 2002. "Assessment Of Voting Situations: The Probabilistic Foundations," Working Papers. Serie AD 2002-22, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
  2. Barua, Rana & Chakravarty, Satya R. & Roy, Sonali & Sarkar, Palash, 2004. "A characterization and some properties of the Banzhaf-Coleman-Dubey-Shapley sensitivity index," Games and Economic Behavior, Elsevier, vol. 49(1), pages 31-48, October.
  3. Andrzej S. Nowak & Tadeusz Radzik, 2000. "note: An alternative characterization of the weighted Banzhaf value," International Journal of Game Theory, Springer;Game Theory Society, vol. 29(1), pages 127-132.
  4. 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.
  5. Owen, G & Shapley, L S, 1989. "Optimal Location of Candidates in Ideological Space," International Journal of Game Theory, Springer;Game Theory Society, vol. 18(3), pages 339-56.
  6. M. J. Albizuri, 2001. "An axiomatization of the modified Banzhaf Coleman index," International Journal of Game Theory, Springer;Game Theory Society, vol. 30(2), pages 167-176.
  7. Lehrer, E, 1988. "An Axiomatization of the Banzhaf Value," International Journal of Game Theory, Springer;Game Theory Society, vol. 17(2), pages 89-99.
  8. 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.
  9. Dan S. Felsenthal & Moshé Machover, 1998. "The Measurement of Voting Power," Books, Edward Elgar Publishing, number 1489.
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