This paper develops a new axiomatic characterization of the Banzhaf index of power using four axioms from four different contributions to the area. A nice feature of the characterization is independence of the axioms showing importance of each of them in the exercise.

This paper develops a new axiomatic characterization of the Banzhaf index of power using four axioms from four different contributions to the area. A nice feature of the characterization is independence of the axioms showing importance of each of them in the exercise.

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...