In The Maltese Falcon (1941), there's a scene when Sam Spade (Humphrey Bogart) goes to a hotel room to have a talk with Kasper Gutman, aka the fat man (Sydney Greenstreet). During the meeting Spade gets very angry and starts to shout. Then he leaves the room. But when he's out in the hall, he stops for a moment, and laughs. It's apparent that he wasn't angry at all, it was just a game he was playing.
This game playing is one of the reasons why I like The Maltese Falcon so much, because in a sense it is a visual statement of one of my central philosophical beliefs. The belief that life is a game, or rather that it is a multitude of games, which we all have to play, and the better the player the better the life. You might call it my own kind of game theory. What you do, how you behave, how you interact with other human beings, how society functions, it's all different games. Life games are not necessarily zero-sum games, so there might be multiple winners. But a combination of luck and skills are essential in order to really prosper. Some might call it cynical, but it needn't be. It is often unfair perhaps, but then life is unfair, and besides, what is fair and what is not is not that straightforward, and too complicated an issue to discuss here. But even if you don't play the game well you will still be able to live a good life, at least tolerable, as long as you've got friends, family and a social safety net.
In the same scene Spade also tries to convince the others that they need a fall guy, somebody to give to the police. Nobody of course wants to be that person, but Spade's reasoning is solid. Someone has to give.
It should be remembered that the film is based on the novel by Dashiell Hammett, and he should be given credit for the original ideas and for the dialogue, John Huston (writer and director) has "only" done a very good and faithful interpretation of it, aided by the great performances and Arthur Edeson's photography. It is very much the stuff that dreams are made off.
This link goes to a good scene, with Spade teasing Wilmer (it's not possible to embed it) http://youtu.be/OWppefhQoos
More on proper game theory here and here. A basic explanation is that it is a theory about interactions between agents, and how these interactions decides the outcome, intended or not. It's today used in many disciplines, like economics, physics, biology, sociology and so on. A key factor is equilibrium, in many different shapes, such as Nash equilibrium.
The prisoner's dilemma is when two prisoners are both, independently of each other, given a choice by a judge. If they both deny the charges, they will both be given, say, 2 years. If both confess they will both be given 5 years. If one confess and the other denies, the one who confess will go free and the one that denies will get 10 years. How shall they respond?