Game Theory

WEEK ONE

1.

The first day of class served as an introduction to the course. Course materials included:

Syllabus

Copy of the same syllabus formatted to the university template is available here

Textbook website and shared Perusall copy

Attendance, participation, and professionalism rubric

Absence Notification Form (Fresno State login required)

First set of slides, which are always a complement to and never a substitute for attending class

First set of guided notes, which are always yours to keep and meant to facilitate your note-taking

Questionnaire and first in-class activity, as well as game board, where you always need to be in class to do in-class activities and you should always turn them in by the end of class

First homework (Fresno State login required), where homeworks are always due by the beginning of the next class after they're assigned


WEEK TWO

2.

On the second day of class, we continued our introduction to game theory, discussing payoff matrices, dominant strategies, and dominant-strategy equilibriums.

Slides

Guided notes

In-class activity

Second homework (Fresno State login required)


3.

On the third day of class, we continued our discussion of dominant-strategy equilibriums. We also discussed our iterated-deletion-of-dominated-strategies method and iterated-dominance equilibriums.

Slides

Guided notes

In-class activity

Third homework (Fresno State login required)


WEEK THREE

4.

On the fourth day of class, we discussed our underlining method and (pure-strategy) Nash equilibriums.

Slides

Guided notes

In-class activity

Fourth homework (Fresno State login required)


5.

On the fifth day of class, we continued our discussion of (pure-strategy) Nash equilibriums and also discussed the informal idea of a focal-point equilibrium.

Slides

Guided notes

In-class activity

Fifth homework (Fresno State login required)


6.

On the sixth day of class, we discussed some classic simultaneous-move games.

Slides

Guided notes

In-class activity

Sixth homework (Fresno State login required)


WEEK FOUR

7.

On the seventh day of class, we discussed the last homework and started to discuss another classic simultaneous-move game, the classic version of the Prisoners' Dilemma.

Slides

Guided notes

In-class activity

Seventh homework (Fresno State login required) and "heads up" on ninth homework


8.

On the eighth day of class, we wrapped up our discussion of the classic version of the Prisoners' Dilemma.

Slides

Guided notes

In-class activity

Eighth homework (Fresno State login required)


9.

On the ninth day of class, we started to discuss sequential-move games, backward induction, and subgame perfect Nash equilibrium.

Slides

Guided notes

In-class activity

Ninth homework instructions (see Google Classroom for Google Doc)


WEEK FIVE

10.

On the 10th day of class, students shared the games they came up with as part of their ninth homework.

Slides

In-class activity

10th homework (Fresno State login required)


11.

On the 11th day of class, we continued our discussion of sequential-move games, including Entry Deterrence games.

Slides

Guided notes

In-class activity

Study guide for first midterm exam

11th homework (Fresno State login required)


12.

On the 12th day of class, we continued our discussion of sequential-move games, including the Ultimatum and Centipede games.

Slides

Guided notes

In-class activities on Ultimatum and Centipede games

12th homework, which is an "attendance, participation, and professionalism" self-assessment (Fresno State login required)


WEEK SIX

President's Day Holiday


13.

On the 13th day of class, we review for our first mid-term exam.

Slides

Guided notes

In-class activity

No homework, except to study.


14.

On the 14th day of class, we took our first mid-term exam.

Handout for after exam

No homework, except to read handout.


WEEK SEVEN

15.

On the 15th day of class, we looked backwards and looked ahead.

Slides

Guided notes

In-class activity

Optional exam wrapper for first exam (Fresno State login required)


16,

On the 16th day of class, we discussed duopoly models.

Slides

Guided notes

In-class activity

13th homework (Fresno State login required)


17.

On the 17th day of class, we learned some material we'll need to discuss mixed strategies.

Slides

Guided notes

In-class activity

14th homework (Fresno State login required)


WEEK EIGHT

18.

On the 18th day of class, we discussed mixed strategies, our payoff-equating method, and mixed-strategy Nash equilibriums.

Slides

Guided notes

In-class activity

15th homework (Fresno State login required)


19.

On the 19th day, we continued our discussion of mixed-strategy Nash equilibriums, focusing on MSNEs in the Battle of the Sexes and other games.

Slides

Guided notes

Reviewed activity from last time

16th homework (Fresno State login required) and additional instructions


20.

On the 20th day, we continued our discussion of MSNEs, focusing on MSNEs in the Game of Chicken and other games.

Slides

Guided notes

In-class activity

17th homework (Fresno State login required)


WEEK NINE

21.

On the 21st day, we continued our discussion of MSNEs, focusing on Rock Paper Scissors.

Slides

Handout on RPS

In-class activity

18th homework (Fresno State login required)


22.

On the 22nd day, we started to discuss repeated games, focusing on the repeated Prisoners' Dilemma.

Slides

Guided notes

In-class activity and associated handouts

19th homework (Fresno State login required)


23.

On the 23rd day, we continued our discussion of repeated games, focusing on infinitely and indefinitely repeated Prisoners' Dilemmas.

Slides

Guided notes

In-class activity

20th homework (Fresno State login required)


WEEK TEN

24.

On the 24th day, we started to discuss simulation-based approaches to studying games.

Slides

Guided notes

In-class activity

21st homework (Fresno State login required)

Netlogo repeated prisoners' dilemma simulations: 2-player, N-player, and evolutionary


25.

On the 25th day, we continued to use simulation-based approaches to study games.

Slides

Guided notes

In-class activity and notes on that

22nd homework (Fresno State login required) and additional instructions


26.

On the 26th day, we started to discuss analytical approaches to evolutionary game theory, focusing on the Hawk-Dove game and its special cases.

Slides

Guided notes

In-class activity

23rd homework (Fresno State login required)

Netlogo hawk dove simulations: Static hawk-dove game with C=20 and C=4, and evolutionary version


WEEK ELEVEN

27.

On the 27th day, we continued our discussion of evolutionary game theory.

Slides

In-class activity

24th homework (Fresno State login required)


28.

On the 28th day, we continued our discussion of evolutionary game theory, focusing on Rock, Paper, Scissors.

Slides

Guided notes

In-class activity

25th homework (Fresno State login required)

Netlogo RPS simulations: One version and another version of it


29.

On the 29th day, we wrapped up our discussion of evolutionary game theory and started to review for our next exam.

Slides

Guided notes and handout

In-class activity

Study guide for second midterm exam

26th homework (Fresno State login required)


WEEK TWELVE

Cesar Chavez day holiday

30.

On the 30th day, we reviewed for second mid-term exam.

Slides

Handout and another one

No homework, except to study for exam.


31.

On the 31st day, we took our second mid-term exam.

Handout for after second mid-term exam and a copy to print

Instructions for culminating homework due on 38th day of class (see Google Classroom for Google Slides)


WEEK THIRTEEN

32.

On the 32nd day, we discussed more applications of game theory.

Slides

Guided notes

In-class activity

27th homework (Fresno State login required)

Simulations: Hotelling's model, Schelling's segregation model, and Josh Epstein's model of civil unrest


33.

On the 33rd day, we started to discuss games with incomplete information.

Slides

Guided notes

In-class activity

28th homework (Fresno State login required)


34.

On the 34th day, we continued our discussion of games with incomplete information.

Slides

Guided notes

In-class activity

No homework for spring break, except to think more about culminating homework.


WEEK FOURTEEN

Spring break

35.

On the 35th day, we wrapped up our discussion of games with incomplete information.

Slides

Guided notes

In-class activity

No homework, except to work on culminating homework


UNDER CONSTRUCTION BELOW

36.

On the 36th day, we started to discuss bargaining.

Slides

Guided notes

In-class activity

No homework, except to work on culminating homework


37.

On the 37th day, we completed an online activity in lieu of physically meeting during normal class time. See Google Classroom for details. We'll also have an additional, optional review day during reading days after the end of scheduled instruction.


WEEK FIFTEEN

38.

On the 38th day, students presented the games they came up with for this culminating homework.


39.


40.


WEEK SIXTEEN

41.


42.

On the last day of scheduled instruction, we reviewed for our final exam.