Exam 12: Voting Methods

The results of an election are summarized in the preference table below. Using the pairwise comparison voting method, determine the winner.

A hiring board must select a new teacher. They vote using the approval method. The results are Shown. Which applicant was selected?

Mrs. Jackson's third-grade class voted on whether to have a clown (C), a magician (M), or a superhero (S)at their class party. Their preference ballots are shown below. Make a preference table for the results of the election and answer each question. (a)How many people voted? (b)How many people voted for the candidates in the order of preference MSC? (c)How many people voted for candidate C as their first choice? (d)Using the plurality method, determine the winner of the election.

The preference ballots for the election of teacher of the year by a junior high school are shown below. Make a preference table for the results of the election and answer each question. (a)How many people voted? (b)How many people voted for the candidates in the order of preference BTW? (c)How many people voted for candidate B as their first choice? (d)Using the plurality method, determine the winner of the election.

The results of an election are summarized in the preference table below. Using the pairwise comparison voting method, determine the winner.

The results of an election are summarized in the preference table below. Suppose the election is declared invalid, and a reelection is held. If the people who voted XYZ in the Original election change their vote to ZXY, is the monotonicity criterion violated?

A club voted on what time to have their next meeting (12:00 p.m., 1:00 p.m., 5:00 p.m., or 6:00 p.m.). The election results are summarized in the preference table below. Does the election violate the majority criterion? Explain your answer.

The results of an election are summarized in the preference table below. The winner is determined using the plurality-with-elimination method. Suppose the election is declared invalid. The results of the reelection are summarized in the preference table below. Is the monotonicity criterion violated? Explain your answer.

The results of an election are summarized in the preference table below. Using the plurality-with-elimination method of voting, determine the winner.

The results of an election are summarized in the following preference table. (a)Determine the winner using the Borda method of voting. (b)Is the winner the same as the one determined by the plurality method?

The math department is voting for a new department chairperson. The candidates are Jenkins (J), Peterson (P), and Thomas (T). The results of the election are summarized in the preference table Below. The winner is determined by the plurality-with-elimination method. Suppose the election is declared invalid, and that a reelection is held. If the voters in column 2 change their Vote from JPT to PJT, is the monotonicity criterion violated?

The results of an election are summarized in the preference table below. Using the plurality-with-elimination method of voting, determine the winner.

The results of an election are summarized in the preference table below. (a)Using the pairwise comparison voting method, determine the winner. (b)If candidate X drops out and the votes are recounted, does this election violate the irrelevant alternative Criterion?

The results of an election are summarized in the preference table below. If candidate A is unable to serve in the election and the votes are recounted, does this election violate the irrelevant alternative criterion? Explain your answer.

A homeowners association voted on what color to paint the clubhouse, white (W), yellow (Y), or taupe (T). The preference ballots for the election are shown below. Make a preference table for the results of the election and answer each question. (a)How many people voted? (b)How many people voted for the candidates in the order of preference WYT? (c)How many people voted for candidate W as their first choice? (d)Using the plurality method, determine the winner of the election.

A county library has three branches. The number of books at each branch of the library is shown Below. The head librarian purchased 53 new books and apportioned them to the libraries using Hamilton's method. When the book order arrived the librarian noticed there was an extra book Added as a "bonus" and she reapportioned the books with the extra book added. Determine if the Reapportionment resulted in the Alabama paradox

The results of an election are summarized in the preference table below. (a)Using the pairwise comparison voting method, determine the winner. (b)If candidate B is eliminated and the votes are recounted, does this election violate the irrelevant alternative Criterion?

This year 10 faculty members are to receive promotions at a community college with three Campuses. The number of promotions will be apportioned according to the number of full-time Faculty members as shown. Find (a)the standard divisor and (b)the standard quota for each district. Round answers to three decimal places, if necessary.

A tenure board must select one teacher to get tenure. They vote using the approval method. The Results are shown. Which teacher was selected?

A freight company has four terminals. The volume of business in truckloads for each terminal is Shown below along with the standard quota. The owner has purchased 9 new trucks to be allocated To the four terminals. If the standard divisor is 20.8, (a)determine how many trucks each terminal Should receive using Adam's method and (b)indicate the modified divisor used (answers may vary). Round the divisor to the nearest tenth, if necessary.