|Voting is simple, right? Everyone just votes
for their favorite and the votes are counted. The person (or alternative) with the most
But is that always the best way?
family decides to vote on a place to visit on vacation.
Is the BEACH really the best choice for the family vacation? Think about it. Half of the family members (Dad and Tommy) hate the beach. Should the family really go to a spot that half of the family hates? Is there a better choice? Look back at the preferences of each family member and see if you can suggest a 'better' vacation spot. Is 'the most first place votes wins' method really the best method here?
The previous example suggests that perhaps there should be different voting methods in different situations. For instance, in the above example, maybe the family should consider a voting method that takes into consideration what each family member likes and DISLIKES. Counting first place votes takes care of the likes but completely ignores the dislikes.
In this course, we will consider 5 different voting methods (although there are many more). We will look at how each method works and examine the strengths and weaknesses of each. In particular, we will look at each preferential voting method in light of the 4 Fairness Criteria. (Remember, from Kenneth Arrow's work, we know that no preferential voting method can satisify all the Fairness Criteria.)
1 Nonpreferential Voting Method
Back to topics listing for section V. THE MATHEMATICS OF VOTING