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Weighted Voting System : Votes Needed for Different Types of Majority

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2) In a weighted voting system, player 1's weight is one more than player 2's weight, and player 2's weight is twice that of player 3's weight. Player 3 and player 4 have the same weight, which is one more than player 5's weight. Player 5 has a weight of three. Find the weighted voting system for each quota:
(a) single majority
(b) 2/3 majority
(c) 3/4 majority
(d) 85% majority
(e) Unanimous majority

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Solution Summary

The numbers of votes needed for five quotas are found. The weighted voting systems for different types of majorities are determined.

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You must start with Player #5, since you are told exactly what his weight is. The rest of the players, you must figure out as you go. Start with Player #5, and then figure out Player #3 and Player #4, then you can find out Player #2's weight, and then finally ...

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