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6) Consider the weighted voting system [17: 9, 6, 3, 1] a. Identify any dictators b. C. Identify any player with veto power Identify any dummies

6) Consider the weighted voting system [17: 9, 6, 3, 1] a. Identify any dictators b. C. Identify any player with veto power Identify any dummies

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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*Contemporary Mathematics* 

**Weighted Voting System Exercise** Consider the weighted voting system represented as [17: 9, 6, 3, 1]. **Tasks:** a. Identify any dictators. b. Identify any player with veto power. c. Identify any dummies. **Explanation:** In this weighted voting system, the quota is 17, which means that the total weight of votes needed for a decision to pass is 17. The weights of the players are 9, 6, 3, and 1 respectively. - A **dictator** is a player whose weight alone meets or exceeds the quota. - A player with **veto power** is one whose weight is necessary for any coalition to achieve the quota. - A **dummy** is a player who has no impact on the outcome; their weight isn't necessary for any winning coalition.
Transcribed Image Text:**Weighted Voting System Exercise** Consider the weighted voting system represented as [17: 9, 6, 3, 1]. **Tasks:** a. Identify any dictators. b. Identify any player with veto power. c. Identify any dummies. **Explanation:** In this weighted voting system, the quota is 17, which means that the total weight of votes needed for a decision to pass is 17. The weights of the players are 9, 6, 3, and 1 respectively. - A **dictator** is a player whose weight alone meets or exceeds the quota. - A player with **veto power** is one whose weight is necessary for any coalition to achieve the quota. - A **dummy** is a player who has no impact on the outcome; their weight isn't necessary for any winning coalition.
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