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Math - Review

Quiz yourself by thinking what should be in each of the black spaces below before clicking on it to display the answer.
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Question
Answer
Quota Rule   No state shall receive more seats than it's original UQ or less seats than it's original LQ  
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Alabama Paradox   When the total number of seats is increased a state loses a seat  
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New States Paradox   When a new state is added another existing state receives even more seats  
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Population Paradox   When a states population increases but they actually lose a seat  
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Hamilton's Method   LQ with surplus  
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Jefferson's Method   LQ  
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Adam's Method   UQ  
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Weber's Method   CQ  
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Minimum number of the quota   1 more than half of all total weights example 1/2(w1+w2+w3) + 1 [q:13,9,8,2] (13+9+8+2) = 32 / 2 = 16 + 1 = answer 17  
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Maximum number of the quota   Sum of all the weights combined  
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Veto Power   Needed in every single coalition in order to pass a motion  
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Dummy   Is not needed to pass a motion  
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Dictator   Can pass a motion by themself  
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Minimum value of q to ensure all players have veto power   (w1+w2+w3+1) Always make the last weight =1  
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Minimum value of q to ensure p4 is a dummy   drop the last weight completely if 4 weights (  
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Minimum number of Borda Points needed to win the election Number of matches player must win to be Condorcet   Add up all BPs depending on how many candidates (5). Take that number multiply it by 5 Do pairwise method then take the number in parenthesis on top.  
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Super computer problem: Calculate 1 billion with 26 players   Take the factorial for number of players and divide it by the # of calculations is needed. Take that answer and divide by 60 Take that answer and divide by 60 Take that answer and divide by 24 Take that answer and divide by 365 answer  
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Minimum number of votes needed to win by plurality   Number of votes times the number candidates  
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Created by: ecurcic
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