Concept explainers
In Exercises 27-30, refer to the preference table that was given prior to Exercise
The plurality method
Before a conference on “Trends in the next Decade,” a panel of participants voted on the topic for the keynote address. The choices were (T)echnology, (P)overty in Third World Countries, (E)conomy, (G)lobal Warming, and (F)oreign Policy. The votes are summarized in the following preference table. Use this information to answer Exercises
Preference | Number of Ballots | ||||
|
|
|
|
|
|
|
T | E | G | P | E |
|
P | P | F | G | F |
|
E | G | E | F | G |
|
F | F | P | E | P |
|
G | T | T | T | T |
Choosing a speaker. What topic is selected using the plurality method?
Want to see the full answer?
Check out a sample textbook solutionChapter 11 Solutions
Mathematics All Around Plus MyLab Math -- Title-Specific Access Card Package (6th Edition)
- The results of an election are summarized in the following preference table. Determine the winner using the plurality method.arrow_forwardThe Science club is selecting its representative for a competition. The members rank the 4 candidates given in the preference table below: Using the agenda ABCD, who is the pairwise sequential winner?arrow_forwardIn a preference schedule with six candidates and 37 voters, what is the total number of points awarded to the candidates using the usual Borda count weights?arrow_forward
- The university administration has asked a group of student leaders to vote on the aspects of college life to target for improvement over the next year. The choices were (H)ousing, (L)ibrary, (T)heater, and (F)itness center. The votes are summarized in the preference table.arrow_forwardA journalist reviewing various cellular phone services surveyed 200 customers and asked each one to rank four service providers in order of preference. The group’s results are shown below. RANKINGS Red and White 3 4 2 3 4 Sprint PCS 1 1 4 4 3 Cingular 2 2 1 2 1 Nextel 4 3 3 1 2 No. of Votes 18 38 42 63 39 Using plurality with elimination, which provider is the favorite of these customers?arrow_forward# of Voters 19 6 36 39 1st B W P S 2nd W B W W 3rd P P B P 4th S S S B Use the preference schedule provided in the introduction to answer the question about various voting methods. Vocabulary words in bold are defined in the Voting Theory section in Math in Society. How many points does each candidate get via Copeland's Method?arrow_forward
- The members of campus club are having a cleanup drive.There are three departments who will participate theactivity: BSAB, BSPA, and BSCD. The members areasked to rank these choices in order of preference ,andthe results are summarized in the following preferencetable (attached) b. Use the plurality method to determine the winner.c. What percent of the votes did the winner in letter (b)receive?d. Use the majority method to determine the winner.arrow_forward2. A fraternity votes to choose a service project--visiting nursing homes, reading with children in elementary schools, or cleaning up a stretch of highway. Their preference rankings are as follows: Number of Voters 3 1 4 8 2 Visiting nursing homes 1 1 2 3 2 Reading with children 2 3 1 1 3 Cleaning highway 3 2 3 2 1 Is there a Condorcet winner? If there is no Condorcet winner, is there a Weak Condorcet winner? Show the work you do in deciding, including vote totals, and state your conclusion.arrow_forwardUse the following preference table to solve the following question. Number of votes 50 40 35 20 1st Choice C B A A 2nd Choice A C B C 3rd Choice B A C B The above preference table gives the results of a straw vote among three candidates, A, B, and C. a. Using the plurality-with-elimination method, which candidate wins the straw vote? ] (Type an upper case alphabet. Do not type space.) b. In the actual election, the 20 voters in the last column who voted A, C, B, in that order, change their votes to C, A, B. Using the plurality-with-elimination method, which candidate wins the actual election? (Type an upper case alphabet. Do not type space.) c. Is the monotonicity criterion satisfied?arrow_forward
- Discrete Mathematics and Its Applications ( 8th I...MathISBN:9781259676512Author:Kenneth H RosenPublisher:McGraw-Hill EducationMathematics for Elementary Teachers with Activiti...MathISBN:9780134392790Author:Beckmann, SybillaPublisher:PEARSON
- Thinking Mathematically (7th Edition)MathISBN:9780134683713Author:Robert F. BlitzerPublisher:PEARSONDiscrete Mathematics With ApplicationsMathISBN:9781337694193Author:EPP, Susanna S.Publisher:Cengage Learning,Pathways To Math Literacy (looseleaf)MathISBN:9781259985607Author:David Sobecki Professor, Brian A. MercerPublisher:McGraw-Hill Education