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4th Edition

Richard N. Aufmann + 3 others

Publisher: Cengage Learning

ISBN: 9781305965584

Chapter 4.3, Problem 24ES

Textbook Problem

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Football The head coach in Exercise 23 has decided that next year the coaching staff should use the weighted voting system

a. Compute the Banthaf power index for each coach under this new system.

b. How do the Banthaf power indices for this new voting system compare with the Banzhaf power indices in Exercise 23? Did the head coach gain any power, according to the Banzhaf power indices, with this new voting system?

To determine

**(a)**

Compute the Banzhaf power index for each of the coaches.

**Given Information:**

Consider three people the head coach,

**Concept used:**

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**Calculation:**

In above table we look in Critical voters column and find that

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Then

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To determine

**(b)**

Explain why it seems reasonable that the assistant coach and the junior varsity coach have the same Banzhaf power index in this voting system

Mathematical Excursions (MindTap Course List)

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