The key method to induce lucid dreams (and I speak of personal experience here) is to train yourself to regularly doubt the "realness" of your environment. F.x. by occasionally just stopping what you are doing and wondering about what makes you so sure that this is not a dream actually ...
This new habit also becomes part of your dream self (personally I think that there is no psychological difference between awake and dream personality - which is why this trick works in the first place).
So the reason why you accept a dream as real is pretty much the same reason why you accept reality as real. It's just a human tendency to accept the perceived environment.
In the book "The Man Who Mistook his Wife for a Hat" a stroke patient is described who tried to throw his leg out of his bed b/c due to the stroke the perception of his body was impaired in such a way that his leg no longer seemed to belong to him. Even though logical reasoning makes it highly implausible that somebody would put a leg into his bed - he accepted his perception as real - period.
There are plenty of examples and experiments of this kind - essentially the human tendency to simply accept perception is very strong. That's why you also accept the dream as real - until you get used to doubting realness and lift yourself into a metaposition from which you can judge logically and infer from the fact that you just shaked hand with Santa Claus that something weird is happening.