Do any of the four voting methods from problem 9 violate the criterion listed? Describe...

Do any of the four voting methods from problem 9 violate the criterion listed? Describe any violation that occurs.

Problem 9:

The Board of Regents for a college must decide which of three building projects should receive the highest priority during the next budget cycle: a new gymnasium (G), a new library (L), or a new student union (U). The preferences for each Board member are summarized in the following table.

a. Which building project is selected using the Borda count method?

b. Which building project is selected using the pairwise comparison method?

c. Which building project is selected using the plurality method?

d. Which building project is selected using the plurality with elimination method?

The majority criterion.