   # Calculate the Banzhaf power indices for voters A, B, C, D, and E in the weighted voting system { 35 : 29 , 11 , 8 , 4 , 2 } . 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 26RE
Textbook Problem
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## Calculate the Banzhaf power indices for voters A, B, C, D, and E in the weighted voting system { 35 : 29 , 11 , 8 , 4 , 2 } . Round to the nearest hundredth

To determine

Calculate the Banzhaf power indices for voters A,B,C,D and E in the weighted voting system {35:29,11,8,4,2}. 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:

 Winning coalition Number of Votes Critical Voters {A,B} 40 {A,B} {A,C} 37 {A,C} {A,B,C} 48 {A} {A,B,D} 44 {A,B} {A,B,E} 42 {A,B} {A,C,D} 41 {A,C} {A,C,E} 39 {A,C} {A,D,E} 35 {A,D,E} {A,B,C,D} 52 A {A,B,C,E} 50 {A} {A,

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