   # Calculate, if possible, the l3anzhaf power index for each voter. Round to the nearest hundredth. { 14 : 7 , 5 , 1 , 1 } ### 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 6ES
Textbook Problem
1 views

## Calculate, if possible, the l3anzhaf power index for each voter. Round to the nearest hundredth. { 14 : 7 , 5 , 1 , 1 }

To determine

Calculate, if possible, trie Banzhaf power index for each voter. Round to the nearest hundredth.

{14:7,5,1,1}

### 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 four people A,B,CandD, and the weighted system is {14:7,5,1,1}.

Therefore,

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

In above table we look in Critical voters' column and find that A is a critical voter 1 time, B is a critical voter is 1 time, C is a critical voter is 1 time, and D is a critical voter 1 time therefore formula of Banzhaf power index of a voter v, symbolized by BPI(v) is given by

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

Then,

BPI(A)=11+1+1+1=14=0

### Still sussing out bartleby?

Check out a sample textbook solution.

See a sample solution

#### The Solution to Your Study Problems

Bartleby provides explanations to thousands of textbook problems written by our experts, many with advanced degrees!

Get Started

Find more solutions based on key concepts
In Problems 7-34, perform the indicated operations and simplify. 29.

Mathematical Applications for the Management, Life, and Social Sciences

In Exercises 7-28, perform the indicated operations and simplify each expression. 28. 2(2x3)1/3(x1)(2x3)2/3(2x3...

Applied Calculus for the Managerial, Life, and Social Sciences: A Brief Approach

Simplify: j38

Elementary Technical Mathematics

True or False: The degree of f (x) = 4x3 + 7x6 + 1 is 7.

Study Guide for Stewart's Single Variable Calculus: Early Transcendentals, 8th

True or False: converges conditionally.

Study Guide for Stewart's Multivariable Calculus, 8th

Suppose that y(x) is a solution of the autonomous equation dy/dx = f(y) and is bounded above and below by two c...

A First Course in Differential Equations with Modeling Applications (MindTap Course List)

5.5 SKILL BUILDING EXERCISES Using the Quadratic formula In Exercises S-1 through S-6, use the quadratic formul...

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)

Experience and Sales. Refer to exercise 7, where an estimated regression equation relating years of experience ...

Modern Business Statistics with Microsoft Office Excel (with XLSTAT Education Edition Printed Access Card) (MindTap Course List) 