This lecture analyzes a model in which two gunslingers—each armed with only a single bullet—must decide when to fire their gun at their opponent.

**Takeaway Points**

- In a proof by contradiction, we assumption something is true and then attempt to derive a result that is a contradiction.
- Since logic is truth-preserving, the assumption must be false. This process is useful for finding equilibria in what would otherwise be an extremely complex game.
- In the game theory galaxy, Han shot at the same time as Greedo.