Back to Examples Labs: Voting and Social Choice. Part 2. Math Alive

Explanation for the First Example

What is the Banzhaf power index of the following weighted voting system?

[51: 49, 48, 3]

49483# of votesoutcome
yyy100Win
y(s)y(s)n97Win
y(s)ny(s)52Win
yn(s)n(s)49Lose
ny(s)y(s)51Win
n(s)yn(s)48Lose
n(s)n(s)y3Lose
nnn0Lose

Here are all the possible voting coalitions for the weighted voting system [51: 49, 48, 3]. It should now be clear that the Banzhaf index for this system is (4, 4, 4).

Back to Examples Last Modified: August 2008