   # 25. Calculate the Banzhaf power indices for voters A, B, C, and D in the weighted voting system { 31 : 19 , 15 , 12 , 10 } . Round to the nearest hundredth. ### 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 25RE
Textbook Problem
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## 25. Calculate the Banzhaf power indices for voters A, B, C, and D in the weighted voting system { 31 : 19 , 15 , 12 , 10 } . Round to the nearest hundredth.

To determine

Calculate the Banzhaf power indices for voters A,B,C and D in the weighted voting system {31:19,15,12,10}. Round to the nearest hundredth.

### Explanation of Solution

Given Information:

Consider voters A,B,C and D in the weighted voting {31:19,15,12,10}

Concept used:

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

Calculation:

Consider voters A,B,C and D in the weighted voting {31:19,15,12,10}

Therefore,

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