Voting Game Day
CSCI 364
Spring 2017 Oberlin College
April 14, 2017
Worksheet Due: Wednesday April 19 at 11:00 AM
Welcome to the first Game Day in CSCI 364 (Artificial Intelligence)! Today, we will be practicing
with the different voting systems to determine what was the class’s collective favorite movie
from 2016. We will consider each of the Oscar nominated movies (in 2017), along with some of
the highest grossing movies from 2016. As a reminder, these movies include:
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
13.
14.
15.
16.
17.
18.
19.
20.
21.
22.
23.
24.
25.
Arrival
Captain America: Civil War
Captain Fantastic
Deadpool
Elle
Fantastic Beasts and Where to Find Them
Fences
Finding Dory
Florence Foster Jenkins
Hacksaw Ridge
Hell or High Water
Hidden Figures
Jackie
La La Land
Lion
Loving
Manchester by the Sea
Moana
Moonlight
Nocturnal Animals
Rogue One
Silence
Split
Sully
The Secret Life of Pets
Voting will take place in six episodes, each using different voting systems. Your objectives are
to (1) vote your group’s preference(s) in each episode, (2) determine the movie selected as the
top choice across all groups’ votes in each episode, and (3) answer a few additional questions
about the overall preferences of the class. Your votes must be consistent in each Episode.
For many of the episodes, we will use Google Forms to submit our votes electronically. Only
one group member should vote for their entire group.
Episode 1: Plurality Voting
1) Which movie did your group vote for?
2) Which movie was selected by Plurality Voting (considering the votes of all groups)?
Episode 2: Approval Voting
1) Which movies did your group vote for?
2) Which movie was selected by Approval Voting (considering the votes of all groups)?
Episode 3: Cumulative Voting
1) Which movies did your group vote for, and how many votes did you cast for each movie?
2) Which movie was selected by Cumulative Voting (considering the votes of all groups)?
Episode 4: Borda Voting
1) Which movie was selected by Borda Voting (considering the votes of all groups)?
2) What is the total ordering of all movies as a result of Borda Voting? Include the counts of
points earned by each movie to support your results.
Episode 5: Plurality with Elimination Voting
1) Which movie was selected by Plurality with Elimination Voting (considering the votes of all
groups)?
2) Which movies were eliminated in which rounds of re-voting? Note: if there were ties for
the least number of votes, multiple movies could be eliminated in the same round.
Round
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
Eliminated Movie(s)
Movies that Received the New Votes
Episode 6: Pairwise Elimination Voting
For this round, we will use the votes submitted by each group for Borda voting in Episode 4 to
determine which movies move on in each round of Pairwise Elimination Voting. Most of the
movies nominated for a Best Picture at the Oscars are given a first-round bye (except for Arrival
and Fences in order to limit the total number of movies needed for the pairings below).
Below, you should fill in who wins between each pair in each round. For example, the first
comparison is between Arrival and Captain America: Civil War, and the winner should be
written in the space to the right under Round 1. Once the entire table is filled in, the winner is
the movie listed under Round 5.
Note that Hacksaw Ridge is the first Oscar nominated movie given a first-round bye, so it is
already listed in Round 1 for you (as are the other movies receiving first round byes).
Candidate
Arrival
Captain America: Civil War
Fences
Captain Fantastic
Hacksaw Ridge
Deadpool
Elle
Hell or High Water
Fantastic Beasts and Where to Find
Them
Finding Dory
Hidden Figures
Florence Foster Jenkins
Jackie
La La Land
Loving
Moana
Lion
Nocturnal Animals
Rogue One
Manchester by the Sea
Silence
Split
Moonlight
Sully
The Secret Life of Pets
Round 1
HR
HoHW
HF
LLL
L
MbtS
M
Round 2
Round 3
Round 4
Round 5
Additional Questions
1) Based on the preferences submitted for Borda Voting in Episode 4, is there a movie that
satisfies the Condorcet Condition? If yes, name the movie and show each comparison with
the other movies to support your claim (i.e., show how many people preferred the
Condorcet Winner vs. the other 24 movies).
2) If there was a Condorcet Winner, in which Episodes was the Condorcet Winner selected by
the voting system?
3) In the Pairwise Elimination Voting (Episode 6), was there any movie that was preferred by
more groups than the movie that was the ultimate winner? If yes, name the movie and list
the number of groups that preferred each of the two movies to support your claim.
4) How did your group decide on a preference ordering?
5) What did your group learn about Social Choice and Voting as a result of this Game Day?