Game Theory

Strategic decision making and the Prisoner's Dilemma

👮 The Prisoner's Dilemma

Two suspects, Wanda and Fred, are arrested. The police don't have enough evidence for a conviction, so they separate them and offer each a deal.

Interactive Payoff Matrix

Click on a strategy for Wanda and Fred to see the outcome!

WANDA
FRED
Silent
Confess
Silent

2 Years Each

Cooperation

W: 10 Years

F: Free

Confess

W: Free

F: 10 Years

5 Years Each

Nash Equilibrium

⚖️ Nash Equilibrium

What is it?

A Nash Equilibrium is a situation where no player can benefit by changing their strategy while the other players keep theirs unchanged.

In Prisoner's Dilemma:

(Confess, Confess) is the Nash Equilibrium. Even though (Silent, Silent) is better for both, neither can trust the other not to confess!

🧠

John Nash

Nobel Prize 1994

Subject of "A Beautiful Mind"

📝 Test Your Understanding

Question 1:

Why is (Silent, Silent) NOT a Nash Equilibrium?

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