MEASURES OF POWERLESSNESS IN SIMPLE GAMES

摘要

Consider a simple game with n players. Let ψ_I be the Shapley- Shubik power index for player i. Then 1-ψ_I measures his powerlessness. We Break down this powerlessness into two components-a 'quixote index' Q_I (which Measures how much of a 'quixote' I is), and a 'follower index' F_I (which meas- Ures how much of a 'follower' he is). Formulae, properties, and and axiomatizations For Q and F are given. Examples are also supplied.