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13 Cards in this Set
- Front
- Back
Dummy
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has no power
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veto
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if drops out can change outcome
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dictator
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reaches quota by itself
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quota
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the number of votes needed to win
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weight/power
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how much each vote is worth
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number of votes
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{q: w1 w2 w3 w4 w5} all the ws added.
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coaliton
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a group of voters that can win the election
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smallest q value
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majority
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largest q value
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numbers added together
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Banzaf
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ex:
{101:99,98,3} winning coaltions: {p1,p2} {p1,p3} {p2,p3} {p1,p2,p3} list powers- whose vote is critical to each coalition p1= 2/6 p2= 2/6 p3=2/6 in this case they have equal power. |
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equation for banzaf
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use c=2^n-1 to find number of coaltions n is the number of players
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Shapley-Shubik
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ex:
list all sequential winning coalitions then find power by going across the coaltion and the number that reaches the quota has the power in that coaltion. then list the amount of times it wins over the amount of coaltions and thats its power. |
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equation for shapley
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if there are 3 players for example you go
3*2*1=6 and thats how many coalitions there are. |