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Measuring Power in Weighted Majority Games

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

Abstract

This paper suggests an indicator of power in weighted majority games. An indicator of power determines the ability of a voter to influence the outcomes of the voting bodies he belongs to. In a weighted majority game each voter is assigned a certain nonnegative real number weight and there is a positive real number quota such that a group of voters can pass a resolution if the sum of the weights of the group members is at least as high as the given quota. The new index is shown to satisfy all the reasonable postulates for an index of voting power. If attention is restricted to weighted majority game only, then this index may be considered as an extension of the Banzhaf-Coleman power indices. Finally, the paper develops an axiomatic charᆳacterization of the new index.

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Bibliographic Info

Paper provided by Iowa State University, Department of Economics in its series Staff General Research Papers with number 12809.

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Date of creation: 07 May 2007
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Publication status: Published in Homo Oeconomicus 2005, vol. 22 no. 4, pp. 459-486
Handle: RePEc:isu:genres:12809

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Postal: Iowa State University, Dept. of Economics, 260 Heady Hall, Ames, IA 50011-1070
Phone: +1 515.294.6741
Fax: +1 515.294.0221
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Web page: http://www.econ.iastate.edu
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Cited by:
  1. 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.

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