   # Using the data in Check Your Progress 3 on page 215. list all blocking coalitions. ### 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 3EE
Textbook Problem
1 views

## Using the data in Check Your Progress 3 on page 215. list all blocking coalitions.

To determine

list all blocking coahtions.

### Explanation of Solution

Given Information:

The four members, A,B,C,andD of an organization adopted the weighted voting system {6:4,3,2,1}.

Concept used:

Apply the Banzhalf power index.

Calculation:

 Winning coalition Number of votes Critical Voters {A,B} 7 A, B {A,C} 6 A, C {A,B,C} 9 A {A,B,D} 8 A, B {A,C,D} 7 A, C {B,C,D} 6 B,C,D {A,B,C,D} 10 None

Using the Banzhaf power index, we have BPI(A)=5/12.

Consider A for Belgium, B for France, C for Germany, D for Italy, E for Luxembourg, F for Netherlands,

 Winning coalition Number of votes Critical Voters {B,C,D} 12 B,C,D {A,B,C,D} 14 B,C,D {A, B, C, F} 12 A, B, C, F {B, C, D, E} 13 B,C,D {B, C, D, F} 14 B,C,D {A, B, C, D, E} 15 B,C,D {A, B, C, D, F} 17 None {B, C, D, E, F} 15 B,C,D {A, B, C, D, E, F} 17 None

Now draw the blocking Coalition table.

 Winning coalition Number of votes Critical Voters {A,B,C} 10 7 {A,B,D} 10 7 {B,C,D} 12 5 {B, C, E} 9 8 {B, C, F} 10 7 {C, D, E} 9 8 {C, D, F}

### 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 Exercises 29-34, rationalize the denominator of each expression. 32. a1a

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

Find a point on the y-axis that is equidistant from (5, 5) and (1, 1).

Single Variable Calculus: Early Transcendentals

Sketch the graph of each equation. (a) r=1sin (b) r=1sin(4)

Calculus: Early Transcendental Functions (MindTap Course List)

Determine the roots of the following terms. 64d6t93

Mathematics For Machine Technology

Sometimes, Always, or Never: The sum of two elementary functions is an elementary function.

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

In Problems 4146 use Theorem B.3 to find A1 for the given matrix or show that no inverse exists. 45. A=(1121201...

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

1. Find the following chi-square distribution values from Table 11.1 or Table 3 of Appendix B. with df = 5 with...

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

Suppose that the peak of the roof occurs 20 rather than 14 horizontal feet toward the interior of the structure...

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