Footloose — Playing Chicken with Tractors

Two high school students decide to play a game of chicken on a dare. In this classic game, two contestants head straight for one another and the winner is the one who doesn’t bail or turn away. If both participants turn away then they both are deemed “chickens.” However, if both stay the course then they will crash into one another and possibly die.

Thanks to Austin Boyle for the clip!

Wanda Sykes — Being Tested

Wanda Sykes describes how she tests her husband when he doesn’t even know he’s being tested. She’s okay with a sink of dirty dishes one or two days, but if it continues for much longer than she’ll extract her revenge (later in the clip she talks about how all the fury comes out when they’re having sex). This tit-for-tat behavior where one party waits for the other one can turn into a situation where both parties are eating off of napkins and no one is cleaning anything.

Sherlock — Prisoner’s Dilemma

Sherlock works on a case involving missing women who recently arrived in London. It turns out that a taxi driver was abducting women and having them choose a poisonous pill to determine whether they lived or die. Eager for more excitement, the cabbie convinces Sherlock to play. Sherlock works through the process of trying to determine, by backward induction, which pill would be deadly.

He never finds out if he was right.

This clip was recommended by Christine Cai.

TedEd: Hotelling Model

This animated clip illustrates the Hotelling Model well (even though they don’t mention it), but can also be used to introduce the idea of sequential moves.

The Princess Bride: Battle of Wits

The Battle of Wits scene may be one of the best game theory examples that students have scene before. It’s a great opportunity to introduce the concept of full information and knowing what the other one knows.

Golden Balls: Coordination

In the great British game show, Golden Balls, contestants must decide whether to cooperate with each other or be devious.  The dramatic outcome of the game (replicated here) is that one will steal and the other will be honest. This variant of the game has a unique twist to ensure cooperation.

Golden Balls: Split or Steal

In one of the greatest game theory game shows produced, contestants play a simultaneous-move game where they must decide whether to split or steal money from each other.

A Beautiful Mind: Ignoring the Blonde

The classic scene from A Beautiful Mind when Nash (Russell Crowe) and his friends are discussing governing dynamics. Nash’s realization is not that of a Nash Equilibrium, but rather the classic view of Adam Smith (everyone doing what’s best for themselves) is harmful compared to if they just work together for the common good. It can be a bit confusing since the Nash Equilibrium is not that people should work together for the great good, but this is still a good introduction to a lesson game theory because it helps introduce why it might be harmful for everyone to only do what’s in their own best interest.

Friends: They Don’t Know That We Know

 

When teaching game theory, we inevitably spill into the notion of complete information with they “they know we know” and “we know that they know we know.” Now you can have Friends do it for you:

Numb3rs: Monty Hall Problem

Charlie teaches his class “Math for Non-Mathematicians” the Monty Hall problem, where a game show contestant must decide whether to change their minds if given the option of 3 cards.

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