A Characterization and Some Properties of the Banzhaf-Coleman-Dubey-Shapley Sensitivity Index
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 Banzhafï¾–Colemanï¾–Dubeyï¾–Shapley sensitivity index using a set of independent axioms. Bounds on the index for a very general class of games are also derived.
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|Date of creation:||07 May 2007|
|Date of revision:|
|Publication status:||Published in Games and Economic Behavior, October 2004, vol. 49 no. 1, pp. 31-48|
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- Barua, Rana & Chakravarty, Satya R. & Roy, Sonali, 2007. "Measuring Power in Weighted Majority Games," Staff General Research Papers 12809, Iowa State University, Department of Economics.
- Lehrer, E, 1988. "An Axiomatization of the Banzhaf Value," International Journal of Game Theory, Springer, vol. 17(2), pages 89-99.
- R J Johnston, 1978. "On the Measurement of Power: Some Reactions to Laver," Environment and Planning A, , vol. 10(8), pages 907-914, August.
- Andrzej S. Nowak, 1997. "note: On an Axiomatization of the Banzhaf Value without the Additivity Axiom," International Journal of Game Theory, Springer, vol. 26(1), pages 137-141.
- 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.
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