Freud's Theory of the 'Self' in Fight Club

The first scene, I believe, displays Tyler Durden as the id really well. While the Narrator is sat reading the article of the organ Tyler is riding round the house in a very childlike manner. The way Tyler throws himself off the bike at the end of the scene shows the lack of concern for the consequences of actions, although it is only a small consequence of a possible bruise it could be used a metaphor for the bigger decisions Tyler makes with bigger consequences, like Project Mayhem later in the film. Tyler survives solely off desires and wants, and doesn't live in reality he lives in the ideal world where living off desires doesn't end horribly.

The Second scene where the Narrator is always in shot but Tyler and Marla are coming in and out of shot but never together shows the 3 parts working at the same time. It starts with Tyler saying "Tell 'em you blew it all up" straight away shows him as the id as its a very irrational thing to suggest which is a characteristic of the id, being irrational and childish. The childish side comes through further into the clip as well when he tells the Narrator to get rid of Marla when he's done with her rather than doing it himself, much like when a child gets other people to do things for them when they'd rather be doing something else.
To counteract Tyler as the id, Marla takes the part of the superego. This is shown by her very rational and grounded way of thinking. She is the opposite to Tyler Durden and tries to get the Narrator round to her way of thinking, to make him more in touch with the world around him rather than Tyler's made up ideal world where the outcomes of situations don't matter if the action is what you want to do.