Introducing
Your new presentation assistant.
Refine, enhance, and tailor your content, source relevant images, and edit visuals quicker than ever before.
Trending searches
Voting Methods: Plurality
4
What We Should Know Before Understanding Plurality
Typically, traditional ballots only ask you to
pick your favorite choice
What's wrong with this?
Works Cited:
http://www.opentextbookstore.com/mathinsociety/2.5/MathinSociety.pdf
http://math.hws.edu/eck/math110_f08/voting.html
Fave Fruits
Preference Schedules
Individual preference ballots are usually
combined into one preference schedule
This is where a
preference ballot
is used
people
Total
Votes
- What a preference schedule is
- How to read the basic parts of a preference schedule
So, now that we understand..
- What a preference ballot is
The Fairness Criteria & Condorcet Criterion
Voting Methods: Plurality
Plurality
The fairness criteria are statements that seem like they should be true in a fair election.
QUESTION:
Senior class President
Plurality
using the plurality method, who wins and
with what amount of first-choice votes?
Amber Cordero
John wins with 43
first-choice votes
The condorcet criterion states that
"if there is a choice that is preferred in every
one-to-one comparison with the other choices,
that choice should be the winner. We call this
winner the condorcet winner or condorcet
candidate.
A plurality vote describes the situation when a candidate or proposal polls more votes than any other
What does this mean?
john
wins
43
out of 100 votes
Plurality
It means john won 43% of the votes, which is a plurality of the votes, but not a majority.
In an election, a candidate
can be elected with less
than a majority of the vote
relative
majority
A winner doesn't have to be the majority winner
to be the pluarity winner
The Declared winner when using the plurality method is the one with the most first-preference votes
Condorcet Criterion
Fave Fruits
When you compare oranges to honeydew melons:
When you compare apples to honeydew Melons:
apples: 1 + 3 = 4 first-choice votes
Oranges: 1 + 3 = 4 first-choice votes
Honeydew: 3 + 3 = 6 first-choice votes
Honeydew Melon: 3 + 3 = 6 first-choice votes
Seeing as how the honeydew melon is preferred in both one to one comparisons, it is condorcet winner.
Problems with
Plurality
How would these students vote if there were only two choices?
John: 28 + 15 = 43 first-choice votes
Roger: 35 + 22 = 57 first-choice votes
Although John won, 57 out of 100 people (so 57% of them) would have preferred Roger.
a single winner voting system is an electoral system where the plurality method is used
Plurality
Single winner contests are used in most legislative elections
In the Plurality voting Method
We only care about the first choice options
So How Does Plurality Work?
Fave Fruits
# of votes
1+3= 4 first-choice votes for apples
3 first-choice votes for oranges
3 first-choice votes for honeydew melons