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A Characterization and Some Properties of the Banzhaf-Coleman-Dubey-Shapley Sensitivity Index

Author

Listed:
  • Barua, Rana
  • Chakravarty, Satya R.
  • Roy, Sonali
  • Sarka, Palash

Abstract

A sensitivity index quantifies the degree of smoothness with which it responds to fluctuations in the wishes of the members of a voting body. This paper characterizes the Banzhaf-Coleman-Dubey-Shapley sensitivity index using a set of independent axioms. Bounds on the index for a very general class of games are also derived.

Suggested Citation

  • Barua, Rana & Chakravarty, Satya R. & Roy, Sonali & Sarka, Palash, 2007. "A Characterization and Some Properties of the Banzhaf-Coleman-Dubey-Shapley Sensitivity Index," Staff General Research Papers Archive 12807, Iowa State University, Department of Economics.
    • Handle: RePEc:isu:genres:12807
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    2. Barua, Rana & Chakravarty, Satya R. & Roy, Sonali, 2006. "On the Coleman indices of voting power," European Journal of Operational Research, Elsevier, vol. 171(1), pages 273-289, May.
    3. Bertrand Mbama Engoulou & Pierre Wambo & Lawrence Diffo Lambo, 2023. "Banzhaf–Coleman–Dubey–Shapley sensitivity index for simple multichoice voting games," Annals of Operations Research, Springer, vol. 328(2), pages 1349-1364, September.
    4. Barua, Rana & Chakravarty, Satya R. & Sarkar, Palash, 2009. "Minimal-axiom characterizations of the Coleman and Banzhaf indices of voting power," Mathematical Social Sciences, Elsevier, vol. 58(3), pages 367-375, November.
    5. Maria Axenovich & Sonali Roy, 2010. "On the structure of minimal winning coalitions in simple voting games," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 34(3), pages 429-440, March.

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