The weighted voting system [27: 10, 8, 6, 4, 2] represents a partnership among five people (P₁, P2, P3, P4, and Ps). You are P5, the one with two votes. You want to increase your power in the partnership and are prepared to buy one share (one share equals one vote) from any of the other partners. Partners P₁, P₂, and P3 are each willing to sell cheap ($1000 for one share), but P4 is not being quite as cooperative—she wants $5000 for one of her shares. Given that you still want to buy one share, from whom should you buy it? Use the Banzhaf power index for your calculations. Explain your answer.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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64. The weighted voting system [27: 10, 8, 6, 4, 2] represents a
partnership among five people (P₁, P2, P3, P4, and P5). You
are P5, the one with two votes. You want to increase your
power in the partnership and are prepared to buy one share
(one share equals one vote) from any of the other partners.
Partners P₁, P₂, and P3 are each willing to sell cheap ($1000
for one share), but P4 is not being quite as cooperative-she
wants $5000 for one of her shares. Given that you still want
to buy one share, from whom should you buy it? Use the
Banzhaf power index for your calculations. Explain your
answer.
Transcribed Image Text:64. The weighted voting system [27: 10, 8, 6, 4, 2] represents a partnership among five people (P₁, P2, P3, P4, and P5). You are P5, the one with two votes. You want to increase your power in the partnership and are prepared to buy one share (one share equals one vote) from any of the other partners. Partners P₁, P₂, and P3 are each willing to sell cheap ($1000 for one share), but P4 is not being quite as cooperative-she wants $5000 for one of her shares. Given that you still want to buy one share, from whom should you buy it? Use the Banzhaf power index for your calculations. Explain your answer.
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