1. Suppose Homer (i=1), Marge (i=2), Bart (i=3), Lisa (i=4), and Maggie (i=5) have to choose between two alternatives: Duff (x) and Butterfinger (y). Their preferences are as follows: Homer prefers Duff; Marge and Maggie are indifferent between the two alternatives; Bart and Lisa prefer Butterfinger.
a. Using the notation from the Kelly book:
(i) n = _____
(ii) (d1,…,dn) = ____________________________
(iii) The answer to (ii) is a ? ( set / list )
(iv) N+1= _______ N-1= ________
b. Use one of the equations for Simple Majority Voting that are described on pages 5-6 of the Kelly book to determine the outcome. Show your work.
c. Use the equation for Absolute Majority Voting on page 6 of the Kelly book to determine the outcome. Show your work.
2. For the model that is on pages 5-6 of the Kelly book, give an example with n=4 where:
a. Simple Majority Voting assigns +1.
b. Simple Majority Voting assigns 0.
c. Absolute Majority Voting assigns -1.