Banzhaf - Shapley

Front

What is a weighted voting system?

Back

A voting system where different voters have different weights or powers in decision-making.

Front

What does the quota represent in a weighted voting system?

Back

The minimum number of votes required to pass a motion.

Front

How do you calculate the total weight of a coalition in a weighted voting system?

Back

By summing the weights of all members in the coalition.

Front

What is the Shapley-Shubik Index?

Back

A measure of a player's power in a voting game, calculated based on their contribution to winning coalitions.

Front

What is a coalition in the context of voting?

Back

A group of voters who come together to achieve a common goal, such as passing a motion.

Front

What does it mean for a coalition to be sequential?

Back

Coalitions that are formed one after another, considering the order of formation.

Front

How many sequential coalitions can be formed in a weighted voting system [8: 7, 6, 2]?

Back

6 sequential coalitions.

Front

What is the smallest possible quota in a weighted voting system [q: 10, 8, 5]?

Back

12 is the smallest possible quota.

Front

How do you find the Shapley-Shubik Index for a player?

Back

By analyzing all possible coalitions and determining the player's contribution to winning.

Front

What is the weight of the coalition formed by P1 and P3 in the system [6: 5, 2, 1]?

Back

The weight is 6.