# Repeated games

### Notes

### Videos

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

The definition of a Repeated Game - YouTube - Private

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

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

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

### Class meeting notes

## Typical Programming Exercises

- Create a variable
`repeated_game`

which has value the Normal Form Game obtained by repeating the following stage game twice:
\(A = \begin{pmatrix}1 & - 1\\ -1 & 1\end{pmatrix} \qquad B = \begin{pmatrix}-1 & 1\\ 1 & -1\end{pmatrix}\)
- 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

In class we spoke about repeated games.

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.