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Math for Liberal Studies: Banzhaf Power Index 

James Hamblin
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27 окт 2024

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Комментарии : 13   
@LC-tb6dp
@LC-tb6dp 11 лет назад
Thank you so much for making this video! It was incredibly helpful when studying for my finite math class at FSU :)
@HamblinMath
@HamblinMath 13 лет назад
It turns out (but it's not at all obvious) that the number of times a voter is critical in winning coalitions is equal to the number of times he/she is critical in blocking coalitions.
@racheldow7507
@racheldow7507 9 лет назад
Is it still a winning coalition if it TIES, but doesn't go over the initial number?
@Ohemgee35
@Ohemgee35 13 лет назад
Thanks so much! Was really helpful info.
@HamblinMath
@HamblinMath 9 лет назад
Rachel: Yes, if the coalition's total number of votes equals the quota, it is a winning coalition.
@CH-po6kl
@CH-po6kl 10 лет назад
Better than that darn textbook!
@narechoke513
@narechoke513 9 лет назад
But isnt the power index for the banzhaf supposed to be an integer and not a fraction? For the Shapley-Shubik index it is supposed to be a fraction, but for banzhaf isnt it supposed to be an integer?
@HamblinMath
@HamblinMath 9 лет назад
+narechoke513 There's no rule that says it has to be an integer or a fraction. I think power indices are best expressed as fractions so that you can tell right away what fraction of the total power each voter has.
@ІгорКривий-д9и
@ІгорКривий-д9и 9 лет назад
Thanx for the video! Pretty clear.
@007myzorro
@007myzorro 7 лет назад
Ігор Крив
@hitokageMODERATOR
@hitokageMODERATOR 9 лет назад
this is the worst class ever, do not take it if you value yourself.
@RichardMongero-ro6hd
@RichardMongero-ro6hd 25 дней назад
you aint kiddin buddy. screw this class