Question

数学作业 急急急

This homework is about the Banzhaf Power Index. Consider 5 voters, labeled A, B, C, D, and E, who are shareholders on a company board.

1) If there are 11 votes total and a 2/3 majority is required to pass a motion, what is the quota? That is, how many votes are required to pass a motion? (Hint: the answer is a whole number between 0 and 11 that represents at least a 2/3 majority). 8

2) Suppose A has 5 votes, B has 3 votes, and C, D, and E have one vote each. Determine the Normalized BPI and the Absolute BPI for each voter.

3) If A gives one vote to B, so that the new distribution of votes is: A has 4, B has 4, C has 1, D has 1, and E has 1, what happens to voter A's Normalized BPI (meaning, voter A's share of power)--does it increase, decrease, or stay the same?

4) In a weighted voter scheme, a "dummy voter" is a voter who effectively has no power (NBPI = 0) even though they are alloted more than zero votes. Give an example of a voting situation (quota and distribution of votes among voters) where at least one of the voters is a dummy voter.

5) Give your best explanation for the apparently paradoxical answer to #3 above.

Answer 1

这项是关于班扎夫权力指数的任务。考虑五位选民，A，B，C，D和E，他们是公司董事会的股东。
1）如果总共有11票，并且需要2/3多数通过该法案，那么配额是多少？换句话说，您需要多少票才能通过该法案？ （提示：答案是0到11之间的整数，代表至少2/3的大部分）。 8
2）假设A有5票，B有3票，C，D和E各有一票。确定每个选民的标准化BPI和绝对BPI。
3）如果A投票给B，那么新的投票分配是：A有4，B有4，C有1，D有1，E有1，选民A的标准化BPI（意思是选民A的权力份额 - ）它会增加，减少还是保持不变？
4）在加权选民计划中，“虚拟选民”是实际上没有权力（NBPI = 0）的选民，即使他们被分配的票数超过零。举一个投票的例子（选民和投票之间的配额），其中至少有一个是虚拟选民。
5）对上面＃3的明显矛盾的答案给出最好的解释。
不会做！！！

Answer 2

看不懂

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