Repeated games

Notes

• https://nashpy.readthedocs.io/en/stable/text-book/repeated-games.html

Videos

1. Repeating the coordination game: repeated games as extensive form games. - YouTube - Private

2. The definition of a Repeated Game - YouTube - Private

3. Mapping histories to actions: strategies in repeated games. - YouTube - Private

4. The impact of reputation: Nash Equilibria in Repeated Games - YouTube - Private

5. Using Python to study Repeated Game with Nashpy - YouTube - Private

Class meeting notes

• https://github.com/drvinceknight/gt/blob/main/do/05-extensive-form-games.rst

Typical Programming Exercises

1. Create a variable repeated_game which has value the Normal Form Game obtained by repeating the following stage game twice: \(A = \begin{pmatrix}1 & - 1\\ -1 & 1\end{pmatrix} \qquad B = \begin{pmatrix}-1 & 1\\ 1 & -1\end{pmatrix}\)
2. Output the Normal Form Game obtained by repeating the following zero sum game twice: \(A = \begin{pmatrix}-3 & - 1 & 4\\ 2 & -1 & 1\end{pmatrix}\)

Solutions

Log of past relevant classes

02/19/24: Repeated games

In class we spoke about repeated games.

03/03/23: Extensive Form Games + The Prisoners Dilemma

In class this week we went over Extensive Form Games and The Prisoners Dilemma. Extensive Form Games allow us to model more general strategic interactions where players do not necessarily make decisions with the same amount of information. The Prisoners Dilemma is a particular game that when repeated allows to be a model for reputation.