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.

In this paper we establish equivalence between six collections of axioms that all characterize the Carreras-Coleman decisiveness index. Axioms in each of the different sets are shown to be independent.

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...

Coleman [1971. Control of collectives and the power of a collectivity to act. In: Lieberman, B. (Ed.), Social Choice. Gordon and Breach, New York, pp. 269ï¾–298] suggested two indices of voting power, power to prevent an action and power to initiate an action. This paper rigorously...

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.

In this paper we establish equivalence between six collections of axioms that all characterize the Carreras-Coleman decisiveness index. Axioms in each of the different sets are shown to be independent.