Ch 2 Notes - One Voter-One Vote each individual vote counts...

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One Voter-One Vote : each individual vote counts equally No one vote is worth more than any other vote Weighted Voting System (WVS) : one voter : x votes Not all votes are equal One vote is worth more than another vote Electoral College Shareholder e lections Business Partnerships United Nations Security Council
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Players : the voters people, businesses, states, countries, etc. Weights : each player controls a certain number of votes Quota : the minimum number of votes needed to pass a motion majority : more than half must be more than 50% of the total number of votes cannot be more than 100% of the votes [q : w 1 , w 2 , …, w n ] Quota weights
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32 shares of stock are divided among four business partners Alice Bob Cathy Dennis 13 9 7 3 Each share equals one vote Alice has 13 votes Bob has 9 votes Cathy has 7 votes Dennis has 3 votes A majority is needed to pass a motion 50% of the votes is 16 [16 : 13, 9, 7, 3] What if Alice & Dennis vote yes and Bob What happens here? This shows why a majority must be larger than 50% of the votes.
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Anna Bob Cathy Dennis 13 9 7 3 A majority is needed to pass a motion Since the majority is more than 50% of the votes, the majority would be 17. 50% of the votes is 16 [17 : 13, 9, 7, 3] 2/3 of the votes are needed to pass a motion (2/3)• 32 = 21.3 21 votes would not be 2/3 22 is the next integer larger than 2/3 of the votes [22 : 13, 9, 7, 3]
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33 votes are needed to pass a motion [33 : 13, 9, 7, 3] IMPOSSIBLE!!! Even if everyone
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This note was uploaded on 05/06/2008 for the course MATH 110 taught by Professor Pietro during the Spring '08 term at SUNY Fredonia.

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Ch 2 Notes - One Voter-One Vote each individual vote counts...

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