   # Calculate, if possible, the l3anzhaf power index for each voter. Round to the nearest hundredth. { 10 : 7 , 6 , 4 } ### 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 4.3, Problem 4ES
Textbook Problem
1 views

## Calculate, if possible, the l3anzhaf power index for each voter. Round to the nearest hundredth. { 10 : 7 , 6 , 4 }

To determine

Calculate. if possible. the Banzhaf power index for each voter. Round to the nearest hundredth. (10:7,6,4).

### Explanation of Solution

Given Information:

Banzhaf Power indices

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 {6:7,6,4}.

Therefore,

 Winning coalition Number of Votes Critical Voters {A,B} 13 {A,B} {A,C} 11 {A,C} {B,C} 10 {B,C} {A,B,C} 15 None

In above table we look in critical voters' column and find that A is

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