Determine the plurality, Borda, runoff, and sequential runoff winners for the following set of preferences. Create a situation for the set of preferences and decide which method of voting would be the most fair. Justify your choice.

Research a variety of voting methods including (but not limited to) plurality, Borda, runoff, and sequential runoff. Create a proposal for how to fairly conduct an election for Homecoming King and Queen. In your proposal identify the current method and compare it to what you believe would be the most fair. Create mock ballots depending on the voting method and conduct a mock election with these different ballots. Write a short paper reporting the results and analyzing the fairest method.

Determine the plurality, Borda, runoff, and sequential runoff winners for the following set of preferences.

You have been chosen to serve on the committee that decides who this year's Homecoming King and Queen will be. As a committee, you have already determined the three sets of finalists to be, in no particular order, Alan and Alice, Bob and Betty, and Carl and Cathy. Please note that all finalists are seniors. Furthermore, you have already held elections through class meetings and have collected the following results:

 
Look at the election information above. In your opinion, which couple should reign as Homecoming King and Queen? Who would finish 2nd and 3rd? Write an explanation explaining your methodology for first, second and third.