Voting Theory: Plurality Method

In the plurality method, the choice with the most first preference votes is declared the winner. It is possible to have a winner in the plurality method without having a majority over 50%. Here is an example of a preference table:

Six voting blocks made their preferences for a city project. The options are to build a Library (L), Fitness Centre (F) or a commercial complex (C).

# Voters412513263015
1st ChoiceLLFFCC
2nd ChoiceFCLCFL
3rd ChoiceCFCLLF

Here are the aggregates of first-choice votes for each option.

ChoiceVotes%
Library(L)6666/150
= 44
Fitness (F)3929/150
= 26
commercial (C)4545/150
= 30

The library is the winner.

The plurality method can potentially violate fairness criteria as the final choice is not guaranteed to win in all one-to-one comparisons. One of them is the Condorcet Criterion.