Teaching

Game Theory and Democracy

Monday - Wednesday - Friday, 2:00 - 4:05 p.m.

Professor
Hubert Bray
bray@math.duke.edu

189 Physics Building (919)757-8428 (mobile)

Office Hours: after class, upon request

TA: Sam Lester, samuel.lester@duke.edu

189 Physics Building (919)757-8428 (mobile)

Office Hours: after class, upon request

TA: Sam Lester, samuel.lester@duke.edu

Before many of the classes, I'm going to ask you to watch videos, as you can see below. Listen and learn with these videos as well as you can. Don't worry if you don't understand everything - that is not expected the first time. Just do your best and come to class with your questions!

However, make sure you do watch the videos. The daily quizzes are OPEN NOTES and will be easy for those who watched the videos, rewarding those who understood the simplest ideas. We'll pursue the deeper ideas in class. The whole point is to get the discussion going with the videos, so that we can cover some cool topics in class. Enjoy!

You will write 4 papers in the class, each 5-10 pages, on a topic of your choice relating to the class, broadly interpretted. You will also present each topic to the class with a PowerPoint style presentation that lasts no more than 5 minutes.

We'll discuss your topic ideas in class, so come to class with some ideas. Rough drafts of your papers are due to the TA of the class (Sam Lester, a former student) 2 days before the due date so that he can give you feedback. You will also meet with students in groups the day before your presentations to practice your presentations with each other. This is all to set you up for success on your presentation day when both your paper and your presentation are due by midnight to both bray@math.duke.edu and samuel.lester@duke.edu.

For Monday, June 29

Watch these videos:

1.01 Types of Ballots in Elections

1.02 Who Wins a Preferential Ballot Election?

1.03 Plurality and Instant Runoff Voting

For Wednesday, July 1

Watch these videos:

1.04 The Unit Interval Model

1.05 Instant Runoff Voting is NOT Monotone

1.06 The Margin of Victory Matrix

For Friday, July 3

No class - University wide holiday.

For Monday, July 6

Watch these videos:

1.07 The Borda Count

1.08 The Borda Count is NOT Clone Invariant

1.09 The Borda Count and Nuclear War

For Wednesday, July 8

Email papers (by midnight) and presentations (by the beginning of class) to bray@math.duke.edu and samuel.lester@duke.edu.

For Friday, July 10

Watch these videos:

1.10 Instant Runoff Borda is Condorcet

1.11 Instant Runoff Borda and the Unit Interval Model

1.12 The Game Theory of Condorcet Methods

For Monday, July 13

Watch these videos:

1.13 Worst Defeat

1.14 The Schulze Method

1.15 Ranked Pairs

For Wedneday, July 15

Watch these videos:

1.16 Comparison of Vote Counting Methods that use the Margin of Victory Matrix

1.17 What is Democracy?

For Friday, July 17

Email papers (by midnight) and presentations (by the beginning of class) to bray@math.duke.edu and samuel.lester@duke.edu.

For Monday, July 20

Survey at least 15 people on a question with at least 10 choices, such as "What is your favorite flavor of ice cream?" Print out 16 ballots, with instructions, which people can fill out by putting a 1 by their first choice, a 2 by their second choice, etc., and a 10 by their 10th choice. Fill out a 16th ballot yourself which you will designate the tie breaking ballot. Then go to www.wevotehere.org, click on "Create an Election" and then "Spreadsheet Election" and then follow the instructions. The web page will think for a few minutes and then return a spreadsheet which you can download which tells you which choice won the election according to Ranked Pairs, the ranking of all of the choices, as well as many other things about the election.

If you have any problems at all, our TA, Sam Lester, samuel.lester@duke.edu, is very happy to help you!

Turn in THREE things by email to bray@math.duke.edu and samuel.lester@duke.edu by the beginning of class: The ballot you created, the spreadsheet produced by the web page, as well as a 1 page summary that you write which includes the question, the 10 choices (in order that they were ranked), and what you found interesting about the results. Did you find a Condorcet choice in each survey? Were there cycles in people's preferences? What surprised you or did not surprise you?

Put "GTD" in your email subject headline so that I know this is homework you are turning in. Be prepared to discuss your survey in class.

Also, use this format for the files you turn in by email:

XYZ_Ice Cream Survey_Ballot.docx (or .pdf, or whatever)

XYZ_Ice Cream Survey_Computer Results.xlsx

XYZ_Ice Cream Survey_Summary.docx (or .pdf, or whatever)

where XYZ represent your initials and you put the title of you survey where it says "Ice Cream Survey."

For Wedneday, July 22

Watch these videos:

2.01 The Kelly Criterion: Triple or Nothing

2.02 The Kelly Criterion: Quadruple or Nothing

2.03 The Kelly Criterion - The 0-1-2-3 Game

2.04 The Gambler's Ruin

For Friday, July 24

Survey two different groups of at leat 15 people on a question with at least 10 chioces. The goal will be to see if the two groups have different opinions on your question and, if so, what those differences are.

Turn in FOUR things by email to bray@math.duke.edu and samuel.lester@duke.edu by the beginning of class:

XYZ_Ice Cream Survey_Ballot.docx (or .pdf, or whatever)

XYZ_Ice Cream Survey_Computer_Results-Group 1.xlsx

XYZ_Ice Cream Survey_Computer_Results-Group 2.xlsx

XYZ_Ice Cream Survey_Summary.docx (or .pdf, or whatever)

Discuss whatever you found interesting about the two surveys in one joint summary document. Did you find a Condorcet choice in each survey? Were there cycles in people's preferences? What surprised you or did not surprise you?

Put "GTD" in your email subject headline so that I know this is homework you are turning in. Be prepared to discuss your survey in class.

For Monday, July 27

Email papers (by midnight) and presentations (by the beginning of class) to bray@math.duke.edu and samuel.lester@duke.edu.

For Wednesday, July 29

Homework assigned in class is due.

For Friday, July 31

Homework assigned in class is due.

For Monday, August 3

Homework assigned in class is due.

For Wednesday, August 5

Email papers (by midnight) and presentations (by the beginning of class) to bray@math.duke.edu and samuel.lester@duke.edu.