Math for Liberal Studies: Banzhaf Power Index

[@LC-tb6dp]

Thank you so much for making this video! It was incredibly helpful when studying for my finite math class at FSU :)

[@Rachkayy]

Is it still a winning coalition if it TIES, but doesn't go over the initial number?

[@Ohemgee35]

Thanks so much! Was really helpful info.

[@HamblinMath]

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.

[@HamblinMath]

Rachel: Yes, if the coalition's total number of votes equals the quota, it is a winning coalition.

[@CH-po6kl]

Better than that darn textbook!

[@ІгорКривий-д9и]

Thanx for the video! Pretty clear.

[@007myzorro]

Ігор Крив

[@narechoke513]

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]

+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.

[@hitokageMODERATOR]

this is the worst class ever, do not take it if you value yourself.

[@RichardMongero-ro6hd]

you aint kiddin buddy. screw this class