Lesson Five: Approval Voting

The last method we will look at is called approval voting. Here, we will use a different kind of preference table. The good news is that our table is much simpler in one respect. Each voter does not have to rank all of the candidates first, second, third, etc. Instead, each voter simply approves or disapproves of each candidate. So if you are a voter, you can vote for one candidate, or two candidates, or three candidates, etc.  Voting for two or more candidates doesn't dilute your vote; each candidate that you approve of gets one full vote. When the votes are counted, the candidate with the most votes wins. 

In the table below, each row corresponds to a different candidate (whom we name W, X, Y and Z), each column corresponds to a different voter, A means "approve" and D means "disapprove." 
 
 

W
A
D
A
A
D
D
D
D
X
A
A
D
D
A
D
A
A
Y
D
D
A
D
D
A
A
A
Z
D
D
A
D
A
A
D
A

To see who wins or comes in second and so on just count the number of A (approvals) for each candidate. What do you find?