Consider the weighted voting system [13: 13, 6, 4, 2] a. Identify any dictators b. Identify any player with veto power Identify any dummies C.

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*Contemporary Mathematics* 

### Weighted Voting System Exercise

**Consider the weighted voting system [13: 13, 6, 4, 2]:**

#### a. Identify any dictators
- A dictator in a voting system is a player whose vote is enough to determine the outcome. 

#### b. Identify any player with veto power
- A player with veto power can prevent a decision from being made if they vote against it, regardless of the other players' votes.

#### c. Identify any dummies
- Dummies are players whose votes do not affect the outcome of the voting. They do not have any real power in the decision-making process.

**Explanation of Notation:**
- The numbers represent the weight distribution where the first number (13) is the quota required to pass a decision.
- The subsequent numbers (13, 6, 4, 2) are the weights assigned to each player.
Transcribed Image Text:### Weighted Voting System Exercise **Consider the weighted voting system [13: 13, 6, 4, 2]:** #### a. Identify any dictators - A dictator in a voting system is a player whose vote is enough to determine the outcome. #### b. Identify any player with veto power - A player with veto power can prevent a decision from being made if they vote against it, regardless of the other players' votes. #### c. Identify any dummies - Dummies are players whose votes do not affect the outcome of the voting. They do not have any real power in the decision-making process. **Explanation of Notation:** - The numbers represent the weight distribution where the first number (13) is the quota required to pass a decision. - The subsequent numbers (13, 6, 4, 2) are the weights assigned to each player.
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