Question 1170873: Calculate, if possible, the Banzhaf power index for each voter. Round to the nearest hundredth.
a. {8: 4, 3, 2}
b. {15: 8, 6, 4}
c. {20: 7, 3, 2, 1}
d. {10: 7, 5, 1, 1}
e. {12: 14, 12, 4, 3, 1}
f. {5: 1, 1, 1, 1, 1, 1}
g. {21: 21, 7, 3, 3, 1, 1}
h. {12: 6, 6, 4, 3, 1}
i. {80: 60, 40, 30, 25, 5}
j. {85: 50, 40, 25, 5}
Which, if any, of the voting systems is a dictatorship?
Which, if any, of the voting systems is a veto power system?
Which, if any, of the voting systems is a null system?
Which, if any, of the voting systems is a one-person, one-vote system?
Answer by ikleyn(52795)   (Show Source):
You can put this solution on YOUR website! .
It is interesting problem, but it requires some introduction,
which at least explains the used terms . . . and the meaning of the presented numbers . . .
Unfortunately, this vitally important info absents in the post.
* * * Is it missed intentionally or simply missed inadvertently ? * * *
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Comment from a visitor :
Weighted Voting System A weighted voting is an electoral system in which the voters do not have the same amount
of influence over the result of an election. Each voting system can be described using
the form {q: w1, w2, w3, w4,…,wn} where q is the quota, w are the weights and n is the number of voters.
The weights are listed in numerical order, starting with the highest weight.
Calculate, if possible, the Banzhaf power index for each voter. Round to the nearest hundredth.
a. {8: 4, 3, 2}
b. {15: 8, 6, 4}
c. {20: 7, 3, 2, 1}
d. {10: 7, 5, 1, 1}
e. {12: 14, 12, 4, 3, 1}
f. {5: 1, 1, 1, 1, 1, 1}
g. {21: 21, 7, 3, 3, 1, 1}
h. {12: 6, 6, 4, 3, 1}
i. {80: 60, 40, 30, 25, 5}
j. {85: 50, 40, 25, 5}
Which, if any, of the voting systems is a dictatorship?
Which, if any, of the voting systems is a veto power system?
Which, if any, of the voting systems is a null system?
Which, if any, of the voting systems is a one-person, one-vote system?
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My response : It is just better;
but could you PLEASE re-post it to the forum (as you do it regularly),
instead of posting it to me personally,
in order for other tutor could participate also
and could get a pleasure to work on this problem ?
In the future, please do not post problems (or parts of the problems) to me personally via the comments' window.
This window, which you used for it, is designed and intended for other purposes rather than posting problems or their parts . . .
Have a nice day (!)
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