Explanation Voting method use: Pair-wise Comparison Method: 1. Voters rank the candidates. 2. A series of comparisons in which each candidate is compared with each of the other candidates. 3. If candidate A is proffered to candidate B, A receives 1 point. If B is preferred to candidate A, B receives 1 point. If the candidates tie, each receives 1 2 point. 4. After making all comparisons among the candidates, the candidate receiving the most point is declared the winner. Given: Number of votes 3 2 1 2 1 First W V W O V Second O W V V O Third V O O W W When the Wilson family is trying to decide whether to go Washington D.C.(W), Orlando(O), or Virginia Beach(V) on their summer vacation. The two parents, five children, and two grandparents rank their three choices according the following preference table. Calculation: To obtain the winner, it is necessary to make comparisons between the (W) and (O), between the (W) and (V), and between the (O) and (V). The pair-wise comparison of (W) verses (O): ( W ) : 3 + 2 + 1 = 6 votes, and ( O ) : 2 + 1 = 3 votes

A Survey of Mathematics with Applications (10th Edition) - Standalone book

10th Edition

ISBN: 9780134112107

Author: Allen R. Angel, Christine D. Abbott, Dennis Runde

Publisher: PEARSON

See similar textbooks

Concept explainers

Set Theory

Every field in the present world involves a set. The theory of sets was developed by German mathematician Georg Cantor while working on the “problems of trigonometric series”.

Question

Chapter 14.1, Problem 21E

To determine

The winner using the Pair-wise Comparison voting method.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 14.1, Problem 20E

Chapter 14.1, Problem 22E

Students have asked these similar questions

1.2.18. (!) Let G be the graph whose vertex set is the set of k-tuples with elements in (0, 1), with x adjacent to y if x and y differ in exactly two positions. Determine the number of components of G.

1.2.17. (!) Let G,, be the graph whose vertices are the permutations of (1,..., n}, with two permutations a₁, ..., a,, and b₁, ..., b, adjacent if they differ by interchanging a pair of adjacent entries (G3 shown below). Prove that G,, is connected. 132 123 213 312 321 231

1.2.19. Let and s be natural numbers. Let G be the simple graph with vertex set Vo... V„−1 such that v; ↔ v; if and only if |ji| Є (r,s). Prove that S has exactly k components, where k is the greatest common divisor of {n, r,s}.

Chapter 14 Solutions

A Survey of Mathematics with Applications (10th Edition) - Standalone book

Ch. 14.1 - In Exercise 1-8, fill in the blank with an...Ch. 14.1 - In Exercise 1-8, fill in the blank with an...Ch. 14.1 - In Exercise 1-8, fill in the blank with an...Ch. 14.1 - In Exercise 1-8, fill in the blank with an...Ch. 14.1 - Prob. 5E Ch. 14.1 - In Exercise 1-8, fill in the blank with an...Ch. 14.1 - Prob. 7E Ch. 14.1 - Prob. 8E Ch. 14.1 - Plurality Three candidates are running for mayor...Ch. 14.1 - Prob. 10E

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, subject and related others by exploring similar questions and additional content below.

The winner using the Pair-wise Comparison voting method.

Solution Summary: The author explains the Pair-wise Comparison voting method. Voters rank the candidates and compare them with each other.

Concept explainers

The winner using the Pair-wise Comparison voting method.

Want to see the full answer?

Chapter 14 Solutions