Security Council reform: A game theoretic analysis – 1

In this paper a game-theoretic analysis of Security Council reform is given. Specifically, we analyse how reforms affect the Shapley–Shubik, Banzhaf, Johnston and Deegan–Packel indices of power. The paper begins with a description of the indices investigated and their relative merits. Following this, the formulas needed to calculate power for the individual permanent and non-permanent members and for the two voting blocks are derived. A graphical representation of the results is given followed by conclusions.