HW 2.2 - Math with Mr. Lloyd R.J. Reynolds High School

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R. J. Reynolds
High School
Banzhaf Power
Chapter 2.2 Homework
Name___________________________________
Read:
Read pp. 55 – 65, Chapter 2.3, 2.4 and 2.5.
Problems: (show your work!)
A) [10: 7, 6, 4]
B) [12: 11, 5, 5]
Use the above Weighted Voting Systems to answer the following questions:
1) How many players (p)?
A)
B)
2) How many total votes (V)?
A)
B)
3) What is the formula for finding the number of coalitions?
How many coalitions do these formulas have?
A)
B)
4) Calculate the Banzhaf Power Index for each player of [10: 7, 6, 4]
Coalition
Weight of Coalition
Win or Lose?
5) What is the Banzhaf Power Distribution for [10: 7, 6, 4]?
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Critical Player(s)
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