Voting Methods

To decide on a new website design, the designer asks people to rank three designs that have been created (labeled A, B, and C). The individual ballots are shown below. Create a preference table.

ABC, ABC, ACB, BAC, BCA, BCA, ACB, CAB, CAB, BCA, ACB, ABC

To decide on a movie to watch, a group of friends all vote for one of the choices (labeled A, B, and C). The individual ballots are shown below. Create a preference table.

CAB, CBA, BAC, BCA, CBA, ABC, ABC, CBA, BCA, CAB, CAB, BAC

In exercises 3-18, complete the following:

1. How many voters voted in this election?

2. How many votes are needed for a majority?

3. Find the winner under the plurality method.

4. Find the winner under the Instant Runoff Voting method.

5. Find the winner under the Borda Count Method.

6. Find the winner under Copeland's method.

The planning committee for a renewable energy trade show is trying to decide where to hold thei…

In exercises 3-18, complete the following:

1. How many voters voted in this election?

2. How many votes are needed for a majority?

3. Find the winner under the plurality method.

4. Find the winner under the Instant Runoff Voting method.

5. Find the winner under the Borda Count Method.

6. Find the winner under Copeland's method.

A non-profit agency is electing a new chair of the board. The votes are shown below.

In exercises 3-18, complete the following:

1. How many voters voted in this election?

2. How many votes are needed for a majority?

3. Find the winner under the plurality method.

4. Find the winner under the Instant Runoff Voting method.

5. Find the winner under the Borda Count Method.

6. Find the winner under Copeland's method.

A group of students is deciding which class to take together. The votes are shown below.

In exercises 3-18, complete the following:

1. How many voters voted in this election?

2. How many votes are needed for a majority?

3. Find the winner under the plurality method.

4. Find the winner under the Instant Runoff Voting method.

5. Find the winner under the Borda Count Method.

6. Find the winner under Copeland's method.

A professional psychology association is deciding where to hold their next conference. The vote…

In exercises 3-18, complete the following:

1. How many voters voted in this election?

2. How many votes are needed for a majority?

3. Find the winner under the plurality method.

4. Find the winner under the Instant Runoff Voting method.

5. Find the winner under the Borda Count Method.

6. Find the winner under Copeland's method.

The Hillsboro City Council has an election with three candidates, D, E, F. The votes are:

In exercises 3-18, complete the following:

1. How many voters voted in this election?

2. How many votes are needed for a majority?

3. Find the winner under the plurality method.

4. Find the winner under the Instant Runoff Voting method.

5. Find the winner under the Borda Count Method.

6. Find the winner under Copeland's method.

The Vancouver mayor's race has three candidates, G, H, I. The votes are:

In exercises 3-18, complete the following:

1. How many voters voted in this election?

2. How many votes are needed for a majority?

3. Find the winner under the plurality method.

4. Find the winner under the Instant Runoff Voting method.

5. Find the winner under the Borda Count Method.

6. Find the winner under Copeland's method.

The Beaverton City Council has an election for one open position. There are four candidates (la…

In exercises 3-18, complete the following:

1. How many voters voted in this election?

2. How many votes are needed for a majority?

3. Find the winner under the plurality method.

4. Find the winner under the Instant Runoff Voting method.

5. Find the winner under the Borda Count Method.

6. Find the winner under Copeland's method.

Portland City Council has an election for one open position. There are four candidates (labeled…

In exercises 3-18, complete the following:

1. How many voters voted in this election?

2. How many votes are needed for a majority?

3. Find the winner under the plurality method.

4. Find the winner under the Instant Runoff Voting method.

5. Find the winner under the Borda Count Method.

6. Find the winner under Copeland's method.

The Portland mayor's race has four candidates, I, J, K, L. The votes are:

In exercises 3-18, complete the following:

1. How many voters voted in this election?

2. How many votes are needed for a majority?

3. Find the winner under the plurality method.

4. Find the winner under the Instant Runoff Voting method.

5. Find the winner under the Borda Count Method.

6. Find the winner under Copeland's method.

A Reynolds School Board position has four candidates, M, N, O, P. The votes are:

In exercises 3-18, complete the following:

1. How many voters voted in this election?

2. How many votes are needed for a majority?

3. Find the winner under the plurality method.

4. Find the winner under the Instant Runoff Voting method.

5. Find the winner under the Borda Count Method.

6. Find the winner under Copeland's method.

The Gresham mayor's race has four candidates, Q, R, S, T. The votes are:

In exercises 3-18, complete the following:

1. How many voters voted in this election?

2. How many votes are needed for a majority?

3. Find the winner under the plurality method.

4. Find the winner under the Instant Runoff Voting method.

5. Find the winner under the Borda Count Method.

6. Find the winner under Copeland's method.

The Parkrose School Board has an election for an open position with four candidates, U, V, W, X…

In exercises 3-18, complete the following:

1. How many voters voted in this election?

2. How many votes are needed for a majority?

3. Find the winner under the plurality method.

4. Find the winner under the Instant Runoff Voting method.

5. Find the winner under the Borda Count Method.

6. Find the winner under Copeland's method.

A Multnomah county commissioner's race has five candidates, A, B, C, D, E. The votes are:

In exercises 3-18, complete the following:

1. How many voters voted in this election?

2. How many votes are needed for a majority?

3. Find the winner under the plurality method.

4. Find the winner under the Instant Runoff Voting method.

5. Find the winner under the Borda Count Method.

6. Find the winner under Copeland's method.

The Oregon State governor's race has five candidates, F, G, H, I, J. The votes are:

In exercises 3-18, complete the following:

1. How many voters voted in this election?

2. How many votes are needed for a majority?

3. Find the winner under the plurality method.

4. Find the winner under the Instant Runoff Voting method.

5. Find the winner under the Borda Count Method.

6. Find the winner under Copeland's method.

A Washington county commissioner's race has five candidates, K, L, M, N, O. The votes are:

In exercises 3-18, complete the following:

1. How many voters voted in this election?

2. How many votes are needed for a majority?

3. Find the winner under the plurality method.

4. Find the winner under the Instant Runoff Voting method.

5. Find the winner under the Borda Count Method.

6. Find the winner under Copeland's method.

A Clackamas county commissioner's race has five candidates, P, Q, R, S, T. The votes are: