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

Barua, Rana; Chakravarty, Satya R.; Roy, Sonali; Sarka, Palash

Games and Economic Behavior Vol. 49 no. 1 (October 2004): 31-48.

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ヨColemanヨDubeyヨShapley sensitivity index using a set of independent axioms. Bounds on the index for a very general class of games are also derived.

Keywords: voting game, characterization, The Banzhaf–Coleman–Dubey–Shapley sensitivity index, Bounds

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