MM Weighted Voting Checkpoint 1

Front

What is a weighted voting system?

Back

A voting system where different players have different weights, influencing the outcome based on their assigned values.

Front

Define 'critical player' in a weighted voting system.

Back

A player is considered critical if their vote is essential for achieving a winning coalition.

Front

What is the Banzhaf Power Index?

Back

A measure of a player's power in a voting game, calculated based on the number of times they are critical in winning coalitions.

Front

How do you calculate the Banzhaf Power for a player?

Back

Count the number of winning coalitions in which the player is critical, then divide by the total number of critical instances for all players.

Front

In the weighted voting system [10:7,5,4,2], what is the total weight?

Back

The total weight is 10 + 7 + 5 + 4 + 2 = 28.

Front

What does it mean for a player to be 'critical' in a coalition?

Back

It means that if the player were to leave the coalition, the coalition would no longer have enough weight to win.

Front

How many players are in the weighted voting system [10:7,5,4,2]?

Back

There are 4 players in the system.

Front

What is the significance of the quota in a weighted voting system?

Back

The quota is the minimum weight required to win a vote, determining the threshold for a coalition to be successful.

Front

If Player 4 has a weight of 2, how many times can they be critical in the system [10:7,5,4,2]?

Back

Player 4 is critical 1 time.

Front

What is the Banzhaf Power for Player 3 (weight 4) in the system [10:7,5,4,2]?

Back

The Banzhaf Power for Player 3 is 25%.