Chapter 17.2, Problem 38PS

To determine

a.

If there’s a majority winner or not and if not, then check which city wins the plurality vote for the following voting preferences.

$\begin{array}{cccc}\left(\text{BLIMS}\right)& \left(\text{LBSIM}\right)& \left(\text{IBLSM}\right)& \left(\text{MSBLI}\right)\\ \text{32}& \text{3}& \text{5}& \text{8}\\ \left(\text{LSBIM}\right)& \left(\text{SBLMI}\right)& \left(\text{IMSBL}\right)& \left(\text{MBSLI}\right)\\ \text{6}& \text{30}& \text{2}& \text{3}\end{array}$.

To determine

b.

The result of the election using the Hare method of voting with following voting preferences.

$\begin{array}{cccc}\left(\text{BLIMS}\right)& \left(\text{LBSIM}\right)& \left(\text{IBLSM}\right)& \left(\text{MSBLI}\right)\\ \text{32}& \text{3}& \text{5}& \text{8}\\ \left(\text{LSBIM}\right)& \left(\text{SBLMI}\right)& \left(\text{IMSBL}\right)& \left(\text{MBSLI}\right)\\ \text{6}& \text{30}& \text{2}& \text{3}\end{array}$

To determine

c.

Do the results of parts a and b violate any of the fairness criteria or not.