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
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
*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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F86d06c69-0bc5-4d3d-863a-ed4e3f58b493%2F5f978811-bd74-4d5b-8a3c-fc46d91e8c3f%2Fu3wtll7_processed.png&w=3840&q=75)
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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