menu
bartleby
search
close search
Hit Return to see all results
Subscribe
Sign in
Math
Mathematical Excursions (MindTap Course List)4th Edition
close solutoin list

Calculate, if possible, the l3anzhaf power index for each voter. Round to the nearest hundredth. { 14 : 6 , 6 , 4 , 3 , 1 }

BuyFindarrow_forward

Mathematical Excursions (MindTap C...

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

Solutions

Chapter
Section
Problem 1EE
Problem 2EE
Problem 3EE
Problem 4EE
Problem 5EE
Problem 6EE
Problem 7EE
Problem 1ES
Problem 2ES
Problem 3ES
Problem 4ES
Problem 5ES
Problem 6ES
Problem 7ES
Problem 8ES
Problem 9ES
Problem 10ES
Problem 11ES
Problem 12ES
Problem 13ES
Problem 14ES
Problem 15ES
Problem 16ES
Problem 17ES
Problem 18ES
Problem 19ES
Problem 20ES
Problem 21ES
Problem 22ES
Problem 23ES
Problem 24ES
Problem 25ES
Problem 26ES
Problem 27ES
Problem 28ES
Problem 29ES
Problem 30ES
BuyFindarrow_forward

Mathematical Excursions (MindTap C...

4th Edition
Richard N. Aufmann + 3 others
Publisher: Cengage Learning
ISBN: 9781305965584
Chapter 4.3, Problem 10ES
Textbook Problem
1 views

Calculate, if possible, the l3anzhaf power index for each voter. Round to the nearest hundredth.

{ 14 : 6 , 6 , 4 , 3 , 1 }

To determine

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

  {14: 6,6,4,3,1}

Explanation of Solution

Given Information:

The weighted system is {14: 6,6,4,3,1}

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,C,D and E and the weighted system is {14: 6,6,4,3,1}

Therefore,

Winning coalition Number of Votes Critical voters
  {A,B,C}  16  {A,B,C}
  {A,B,D}  15  {A,B,D}
  {A,B,C,D}  19  {A,B}
  {A,B,C,E}  17  {A,B,C}
  {B,C,D,E}  14  {B,C,D,E}
  {A,B,C,D,E}  20None

In above table we look in Critical voters' column and find that A is a critical voter 4 times, B is a critical voter is 5 times, C is a critical voter is 3 times, and D is a critical voter 2 times and E is a critical voter 1 times, therefore

Still sussing out bartleby?

Check out a sample textbook solution.

See a sample solution
arrow_back
Chapter 4.3,
Problem 9ES
Chapter 4.3,
Problem 11ES
arrow_forward

The Solution to Your Study Problems

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

Get Started

Chapter 4 Solutions

Mathematical Excursions (MindTap Course List)
Show all chapter solutions
add
Ch. 4.1 - Verify this apportionment using the Jefferson...Ch. 4.1 - Find the apportionment that would have resulted if...Ch. 4.1 - Give each state one representative. Use the...Ch. 4.1 - Find the apportionment that would have resulted if...Ch. 4.1 - Explain how to calculate the standard divisor of...Ch. 4.1 - Teacher Aides A total of 25 teacher aides are to...Ch. 4.1 - In the Hamilton apportionment method, explain how...Ch. 4.1 - What is quota rule?Ch. 4.1 - Governing Boards The following table shows how the...Ch. 4.1 - Forest Rangers The table below shows how the...
Ch. 4.1 - Sales Associates The table below shows the number...Ch. 4.1 - Hospital Interns The table below shows the number...Ch. 4.1 - House of Representatives The U.S. House of...Ch. 4.1 - College Enrollment The following table shows the...Ch. 4.1 - Medical Care A hospital district consists of six...Ch. 4.1 - What is the Alabama paradox?Ch. 4.1 - What is the population paradox?Ch. 4.1 - What is the new states paradox?Ch. 4.1 - 15. What is the Balinski-Young Impossibility...Ch. 4.1 - Apportionment of Projectors Consider the...Ch. 4.1 - Hotel Management A company operates four resorts....Ch. 4.1 - College Security A college apportions 40 security...Ch. 4.1 - Management Scientific Research Corporation has...Ch. 4.1 - Education The science division of a college...Ch. 4.1 - Elementary School Teachers The following table...Ch. 4.1 - Social Workers The following table shows the...Ch. 4.1 - Computer Usage The table below shows the number of...Ch. 4.1 - The population of Illinois increased by over...Ch. 4.1 - 25. The population of Louisiana increased 1.4%...Ch. 4.1 - House of Representatives Currently. the U.S. House...Ch. 4.1 - Computer Usage Use the Webster method to apportion...Ch. 4.1 - Demographics The table below shows the populations...Ch. 4.1 - Which of she following apportionment methods can...Ch. 4.1 - According to Michael Balinski and H. Peyton Young,...Ch. 4.1 - 31. What method is presently used to apportion the...Ch. 4.1 - 32. According to the 2010 census, what is the...Ch. 4.1 - John Quincy Adams, the sixth president of the...Ch. 4.1 - In the Huntington-Hill method of apportionment,...Ch. 4.1 - Deriving the Huntington-Hill Number The...Ch. 4.2 - Using the Borda method of voting, which flavor of...Ch. 4.2 - Instead of using the normal Borda method, suppose...Ch. 4.2 - Suppose the Borda method used in Exercise I of...Ch. 4.2 - Suppose the Borda method used in Exercise I of...Ch. 4.2 - Suppose the Borda method used in Exercise 1 of...Ch. 4.2 - Can the assignment of points for first. Second,...Ch. 4.2 - Suppose the assignment of points for first,...Ch. 4.2 - What is the difference between a majority and a...Ch. 4.2 - Explain why the plurality voting system may not be...Ch. 4.2 - Explain how the Borda Count method of voting...Ch. 4.2 - Explain how the plurality with elimination voting...Ch. 4.2 - 5. Explain how the pairwise comparison voting...Ch. 4.2 - What does the Condorcet criterion say?Ch. 4.2 - Is there a best voting method? Is one method more...Ch. 4.2 - Explain why. if only two candidates are running,...Ch. 4.2 - Presidential Election The table below shows the...Ch. 4.2 - Breakfast Cereal Sixteen people were asked to rank...Ch. 4.2 - Cartoon Characters A kindergarten class was...Ch. 4.2 - Catering A 15-person committee is having lunch...Ch. 4.2 - Movies Fifty consumers were surveyed about their...Ch. 4.2 - Breakfast Cereal Use the Borda count method of...Ch. 4.2 - Cartoons Use the Borda count method of voting to...Ch. 4.2 - Catering Use the Borda count method of voting to...Ch. 4.2 - Class Election A senior high school class held an...Ch. 4.2 - Cell Phone Usage A journalist reviewing various...Ch. 4.2 - Baseball Uniforms A Little League baseball team...Ch. 4.2 - Radio Stations A number of college students were...Ch. 4.2 - Class Election Use plurality with elimination to...Ch. 4.2 - Cell Phone Usage Use plurality with elimination to...Ch. 4.2 - Campus Club A campus club has money left over in...Ch. 4.2 - Recreation A company is planning its annual summer...Ch. 4.2 - X-Men Movies Fans of the X-Men movies have been...Ch. 4.2 - Family Reunion The Nelson family is trying to...Ch. 4.2 - School Mascot A new college needs to pick a moscot...Ch. 4.2 - Election Five candidates are running for president...Ch. 4.2 - Baseball Uniforms Use the pairwise comparison...Ch. 4.2 - Radio Stations Use the pairwise comparison method...Ch. 4.2 - Does the winner in Exercise tic satisfy the...Ch. 4.2 - 32. Does the winner in Exercise 12 satisfy the...Ch. 4.2 - Does the winner in Exercise 2k satisfy the...Ch. 4.2 - Does the winner in Exercise 24c satisfy the...Ch. 4.2 - Does the winner in Exercise 17 satisfy the...Ch. 4.2 - Does the winner in Exercise 20 satisfy the...Ch. 4.2 - Election Three candidates are running for mayor. A...Ch. 4.2 - Film Competition Three films have been selected as...Ch. 4.2 - 39. Election A campus club needs to elect four...Ch. 4.2 - Scholarship Awards The members of a scholarship...Ch. 4.2 - Another method of voting is to assign a weight. or...Ch. 4.2 - Approval voting is a system in which voters may...Ch. 4.2 - Restaurants Suppose you and three friends. David,...Ch. 4.3 - Using the data in Example 1 on page 211, list all...Ch. 4.3 - For the data in Example I on page 211, calculate...Ch. 4.3 - Using the data in Check Your Progress 3 on page...Ch. 4.3 - For the data in Check Your Progress 3 on page 215,...Ch. 4.3 - Create a voting system with three members that is...Ch. 4.3 - Create a voting system with four members in which...Ch. 4.3 - Create a voting system with five members that...Ch. 4.3 - In the following exercises that involve weighted...Ch. 4.3 - In the following exercises that involve weighted...Ch. 4.3 - Calculate, if possible, the l3anzhaf power index...Ch. 4.3 - Calculate, if possible, the l3anzhaf power index...Ch. 4.3 - Calculate, if possible, the l3anzhaf power index...Ch. 4.3 - Calculate, if possible, the l3anzhaf power index...Ch. 4.3 - Calculate, if possible, the l3anzhaf power index...Ch. 4.3 - Calculate, if possible, the l3anzhaf power index...Ch. 4.3 - Calculate, if possible, the l3anzhaf power index...Ch. 4.3 - Calculate, if possible, the l3anzhaf power index...Ch. 4.3 - Calculate, if possible, the l3anzhaf power index...Ch. 4.3 - Calculate, if possible, the l3anzhaf power index...Ch. 4.3 - Which, if any, of the voting systems in Exercises...Ch. 4.3 - Explain why it is impossible to calculate the...Ch. 4.3 - Music Education A music department Consists of a...Ch. 4.3 - Four voters. A, B. C, and D. make decisions by...Ch. 4.3 - Criminal Justice In a criminal trial, each of the...Ch. 4.3 - Criminal Justice In California civil court cases,...Ch. 4.3 - Identify any dictator and all dummies for each...Ch. 4.3 - Identify any dictator and all dummies for each...Ch. 4.3 - Identify any dictator and all dummies for each...Ch. 4.3 - Identify any dictator and all dummies for each...Ch. 4.3 - Football At the beginning of each football season,...Ch. 4.3 - Football The head coach in Exercise 23 has decided...Ch. 4.3 - Consider the weighted voting system { 60:4,56,58...Ch. 4.3 - 26. Consider the weighted voting system {...Ch. 4.3 - Consider the weighted voting system { q:8,3,3,2 },...Ch. 4.3 - 28. a. In a weighted voting system, suppose that...Ch. 4.3 - Voter Intimidation and Tampering Consider the...Ch. 4.3 - UN Security Council The United Nations C Security...Ch. 4 - Education The following table shows the...Ch. 4 - Airline Industry The following table shows the...Ch. 4 - Airline Industry The table below shows how the...Ch. 4 - 4. Education The following table shows the number...Ch. 4 - Technology A company has four offices. The...Ch. 4 - Automobile Sales Consider the apportionment of 27...Ch. 4 - Music Company MusicGalore.biz has offices in Los...Ch. 4 - Building Inspectors A city apportions 34 building...Ch. 4 - Is the Hamilton apportionment method susceptible...Ch. 4 - Is the Jefferson apportionment method susceptible...Ch. 4 - Corporate Security The Huntington-Hill...Ch. 4 - Essay Contest Four finalists are competing in an...Ch. 4 - Ski Club A campus ski club is trying o decide...Ch. 4 - Campus Election Four students are running for the...Ch. 4 - Consumer Preferences A group of consumers were...Ch. 4 - Use the pairwise comparison method of voting to...Ch. 4 - Use the pairwise comparison method of voting to...Ch. 4 - Homecoming Queen Three high school students are...Ch. 4 - Homecoming Queen In Exercise I. suppose Cynthia L....Ch. 4 - Scholarship Awards A scholarship committee must...Ch. 4 - A weighted voting system for voters A, B, C, and D...Ch. 4 - A weighted voting system for voters A. B. C. D....Ch. 4 - Calculate the Banzhaf power indices for voters A....Ch. 4 - Calculate the Banzhaf power indices for voters A,...Ch. 4 - 25. Calculate the Banzhaf power indices for voters...Ch. 4 - Calculate the Banzhaf power indices for voters A,...Ch. 4 - Identify any dictator and all dummies for each...Ch. 4 - Identify any dictator and all dummies for each...Ch. 4 - Four voters. A. B. C. and D. make decisions by...Ch. 4 - Postal Service The table below shows the number of...Ch. 4 - Computer Allocation The following table shows the...Ch. 4 - High School Counselors The following table shows...Ch. 4 - A weighted voting system for voters A, B, C, D....Ch. 4 - Consumer Preference One hundred consumers ranked...Ch. 4 - Executives Preferences A company with offices...Ch. 4 - Exam Review A professor is preparing an extra...Ch. 4 - Budget Proposal A committee must vote on which of...Ch. 4 - Drama Department The four staff members. A, B,C,...Ch. 4 - Three voters. A. B. and C, make decisions by using...

Additional Math Textbook Solutions

Find more solutions based on key concepts
Show solutions add
Evaluate the expression sin Exercises 116. (42)2

Finite Mathematics

Find.

Mathematical Applications for the Management, Life, and Social Sciences

Evaluate the definite integral. /32/3csc2(12t)dt

Calculus (MindTap Course List)

Prove the identity. 9. cosh x + sinh x = ex

Single Variable Calculus: Early Transcendentals, Volume I

In Exercises 3540, rationalize the numerator of each expression. 38. x1x

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

Solve the differential equation using the method of variation of parameters. 28. y+4y+4y=e2xx3

Multivariable Calculus

Finding Limits Numerically In Exercises 5-12, complete the table and use the result to estimate the limit. Use ...

Calculus: An Applied Approach (MindTap Course List)

Criminal Justice: Jury Duty Have you ever tried to get out of jury duty? About 25% of those called will find an...

Understanding Basic Statistics

A 12-in. bar that is clamped at both ends is to be subjected to an increasing amount of stress until it snaps. ...

Probability and Statistics for Engineering and the Sciences

Solving Nonlinear Systems Find all solutions of the system of equations. 25. {x2y=16x2+4y+16=0

Precalculus: Mathematics for Calculus (Standalone Book)

SOC The scores of 15 respondents on four variables are as reported here. These scores were taken from a public-...

Essentials Of Statistics

A function f has domain [5, 5] and a portion of its graph is shown. (a) Complete the graph of f if it is known ...

Single Variable Calculus

A researcher is curious about the average distance traveled by Canada geese during peak fall migration in the s...

Essentials of Statistics for The Behavioral Sciences (MindTap Course List)

For Problems 19-28, use the following set designations. N= x|x is a natural number Q= x|x is a rational number ...

Intermediate Algebra

Find all possible real solutions of each equation in Exercises 3144. y32y22y3=0

Applied Calculus

Think About It In Exercises 89 and 90, the function f is differentiable on the indicated interval. The table sh...

Calculus: Early Transcendental Functions

In Exercises 15-22, find the equation of the specified line. With slope 4 crossing 2x3y=6 at its x-intercept

Finite Mathematics and Applied Calculus (MindTap Course List)

Standardized measures seem to indicate that the average level of anxiety has increased gradually over the past ...

Statistics for The Behavioral Sciences (MindTap Course List)

Solve the initial-value problem. 18. xy+y=xlnx,y(1)=0

Calculus: Early Transcendentals

Write each decimal in words: 1.00421

Elementary Technical Mathematics

Solve the following word problems by using Table 11-1 or 11-2. When necessary, create new table factors. Round ...

Contemporary Mathematics for Business & Consumers

Problems 1 through 10 refer to triangle ABC, which is not necessarily a right triangle. Find two triangles for ...

Trigonometry (MindTap Course List)

Do the points A, B, and C appear to be collinear?

Elementary Geometry For College Students, 7e

Prove each equation. 41. (a) Equation 18a (b) Equation 18b (c) Equation 18c 18a sinxcosy=12[sin(x+y)+sin(xy)] 1...

Single Variable Calculus: Early Transcendentals

11. Show that is a generating set for the additive abelian group if and only if

Elements Of Modern Algebra

Find the periodic payment required to amortize a loan of 178000 over 180 months with interest charged at the ra...

Finite Mathematics for the Managerial, Life, and Social Sciences

Explain how the following formula used in Example 6 was obtained: V=43R3-43r3

Elementary Geometry for College Students

Finding an Indefinite Integral In Exercises 1-8, find the indefinite integral. (x4+3)dx

Calculus of a Single Variable

Finding Partial Derivatives Implicitly In Exercises 35-38, differentiate implicitly to find the first partial d...

Calculus: Early Transcendental Functions (MindTap Course List)

Exercises 22-27 involve the information in Figure 9.116 on constructing a home. What is the completion time? Ta...

Mathematics: A Practical Odyssey

Express each percent as a common fraction or mixed decimal. a. 30% b. 140% c.12.5% d.0.65%

Mathematics For Machine Technology

Consider the following sample of 25 observations on x = diameter (in centimeters) of DVD disks produced by a pa...

Introduction To Statistics And Data Analysis

The center of 4x2 + 8x − 3y2 + 12y + 4 = 0 is (1, −2) (−1, 2) (2, −1) (−2, 1)

Study Guide for Stewart's Multivariable Calculus, 8th

Evaluating a Line Integral Using Greens TheoremIn Exercises 1524, use Greens Theorem to evaluate the line integ...

Calculus

For f (x) = cos (x2 + 1) we may write f(x) = (h g)(x), where: a) h(x) = cos x2 and g(x) = x +1 b) h(x) = cos x...

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

Classifying a TriangleIn Exercises 2730, the vertices of triangle are given. Determine whether the triangle is ...

Multivariable Calculus

Graph each rational function. Check your work with a graphing calculator. f(x)=x+1x2(x2)

College Algebra (MindTap Course List)

Matt Kenseth won the 2012 Daytona 500, the most important race of the NASCAR season. His win was no surprise be...

STATISTICS F/BUSINESS+ECONOMICS-TEXT

Finding an Indefinite Integral In Exercises 9-30, find the indefinite integral and check the result by differen...

Calculus (MindTap Course List)

Refer again to the crosstabulation of household income by educational level shown in exercise 29. a. Compute co...

Statistics for Business & Economics, Revised (MindTap Course List)

Create an example of a citation for each of the following: a. A single author cited in parentheses. b. Two or m...

Research Methods for the Behavioral Sciences (MindTap Course List)

Briefly explain what an operational definition is and why operational definitions are sometimes necessary.

Research Methods for the Behavioral Sciences (MindTap Course List)

In Problems 25-30 solve the given initial-value problem. Use a graphing utility to graph the solution curve. 30...

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

Prove the full version of Bayes’ theorem.

Discrete Mathematics With Applications

For the following exercises, use the horizontal line test to determine whether each of the given graphs is one-...

Calculus Volume 1

The Size of the Earth The radius of the Earth is approximately 4000 miles. a. How far is it around the equator?...

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

Consider the following hypothesis test: A sample of 75 is used and the population standard deviation is 10. Co...

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

Car Fuel Efficiencies. The U.S. Department of Energys Fuel Economy Guide provides fuel efficiency data for cars...

Essentials Of Statistics For Business & Economics

bartleby
  • Contact Research (Essays)
  • Honor Code
    • © 2020 bartleby. All Rights Reserved.