Thursday, February 14, 2013

Almesha

Use the weighted voting schema to answer the chase questions.

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,P2….>LoseP1…>P2..6L….>P1 Critical
14wP1,P3….>LoseP1…>P3..4L….>P1 Critical
10wP2,P3….>LoseP2…>P3..4L….>P2 Critical
LoseP3…>P2..6L….>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.

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A minimal winning coalition occurs when all persons are critical in a winning coalition. This is the only winning coalition.
10wP2,P3….>LoseP2…>P3..4L….>P2 Critical
LoseP3…>P2..6L….>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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