   # Calculate the Banzhaf power indices for voters A. B. and C in the weighted sting system { 9 : 6 , 5 , 3 } . ### Mathematical Excursions (MindTap C...

4th Edition
Richard N. Aufmann + 3 others
Publisher: Cengage Learning
ISBN: 9781305965584

#### Solutions

Chapter
Section ### Mathematical Excursions (MindTap C...

4th Edition
Richard N. Aufmann + 3 others
Publisher: Cengage Learning
ISBN: 9781305965584
Chapter 4, Problem 23RE
Textbook Problem
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## Calculate the Banzhaf power indices for voters A. B. and C in the weighted sting system { 9 : 6 , 5 , 3 } .

To determine

Calculate the BanZhaf power indices for voters A,B and C in the weighted voting system {9:6,5,3}.

### Explanation of Solution

Given Information:

Consider three people A,B and C and the weighted system is {9:6,5,3}

Concept used:

BPI(v)=Number of times voter v is a critical voternuner of times any voter is a critical voter

Calculation:

Consider three people A,B and C and the weighted system is {9:6,5,3}

Therefore,

 Winning Coalition Number of Votes Critical Voters {A,B} 11 {A,B} {A,C} 12 {A,C} {A,B,C} 14 A

In above table we l

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