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Review - Weigthed Voting System: Quota; Banzhaf Distribution; Shapley-Schubick Distribution; Dictators, Veto Power Players, Dummies

PLEASE SHOW ALL WORK FOR SPECEFIC QUESTIONS FOR COMPLETE UNDERSTANDING.

1)FIND THE FOLLOWING WEIGHTED VOTING SYSTEM( 8: 6,3,2,1)

A) FIND WHAT PRECENT OF TOTAL WEIGHT IS QUOTA?

B) FIND BANZHAF DISTRIBUTION IN PERCENTS?

C) FIND SHAPLEY- SCHUBICK DISTRIBUTION IN PERCENTS?

D) FIND ALL DICTATORS , VETO POWER PLAYERS , AND DUMMIES?

2) A COMMITIE OF 12 MEMBERS IS HEADED BY 3 DIRECTORS OF EQUAL RANK WHO ARE VOTED IN. HOW MANY WAYS CAN THE 3 DIRECTORS BE CHOSEN FROM THE 12 MEMBERS?

Solution Preview

I have not worked out problem 2 but I did work through the specifics of problem 1 a bit against my better judgement. However, the question is for four players and the generalized solution I illustrated was for 3 players. The solution is included as an attachment. It is my sincere belief though that in doing this I am doing you a diservice as I stated in my email when you specifically said the answer you are getting is not helping. I really think you need to work the problem through yourself with the guidance example rather than have the numbers fed to you by the OTA.

All values for problem 1 are worked in the attachment in gory detail

The expiration time for this is 930 and it is 804

I will work on the ...

$2.19