a. Determine how many confederacys on that point are using the formula.
2^n-1
2^3-1
8-1=7
There are seven coalitions.
b. maltreat 1: List every coalitions; determine the coalition weight for from distributively one; and determine whether each coalition is amiable or losing.
1 Person
* P1=10W
* P2=6 L
* P3=4L
2 People
* P1,P2=16W
* P1,P3=14W
* P2,P3=10W
3 People
* P1,P2,P3=20W
c. grade 2: For each winning coalition, determine which voters are critical.
16wP1,P2â¦.>LoseP1â¦>P2..6Lâ¦.>P1 Critical
14wP1,P3â¦.>LoseP1â¦>P3..4Lâ¦.>P1 Critical
10wP2,P3â¦.>LoseP2â¦>P3..4Lâ¦.>P2 Critical
LoseP3â¦>P2..6Lâ¦.>P3 Critical
d. STEP 3: Determine the Voter Banzhaf index of each voter in this system.
e. STEP 4: Determine the Total Banzhaf Power of the system.
f. STEP 5: Determine the Banzhaf Power Index of each voter in this system. Write your answers as both a fraction and a percentage.
Use the weighted voting system to answer the following questions. You should reference your work on the search of this page.
a. What is a minimal winning coalition? List all minimal winning coalitions.

A minimal winning coalition occurs when all persons are critical in a winning coalition. This is the only winning coalition.
10wP2,P3â¦.>LoseP2â¦>P3..4Lâ¦.>P2 Critical
LoseP3â¦>P2..6Lâ¦.>P3 Critical
b. What is a blocking coalition? give ear one blocking coalition, and demonstrate why it is blocking.
c. What is a keep mum voter? Are there any dummy voters in this system? Explain.
A dummy voter is if anyone is not critical. Yes, there is a dummy voter. P1 is a dummy because hes not critical in its winning coalition.
d. What is a dictator? Is person 1 with weight 10 a dictator? Explain.
No, P1 does not have veto power because the motion is mum passed if he votes no.
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