Math Problem Statement
Consider the weighted voting system [51: 30, 30, 30, 10]. Write a few sentences explaining to a friend who hasn't taken this class why it might not make sense to say that Player 4 has 10% of the power in this system even though they have 10% of the votes. You can assume that your friend understands how a weighted voting system works.
Solution
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Math Problem Analysis
Mathematical Concepts
Weighted Voting Systems
Voting Power
Banzhaf Power Index
Coalition Formation
Formulas
Banzhaf Power Index formula: Number of times a player is critical ÷ Total critical instances
Theorems
Banzhaf Power Theorem
Suitable Grade Level
Undergraduate Level
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