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Interesting short story The Egg explores an similar idea: http://www.galactanet.com/oneoff/theegg_mod.html

I had the same idea. It might or might not have been under the influence of drugs but I have to say that it is interesting to explore. It's easy to explain to people who played video games.

This idea is a very common alternative spirituality thing.

Is there a name for it?

In Hinduism it is called Leela, the divine play.

Assuming that "boredom" exists for such a being as God is a human projection that might have zero relevance in the domain of the absolute.

Sadly (or not!) this is just as good of an answer as the rest to the hard problem. Dualism, computational theory of mind, etc. People talk about a scandal of string theory, they should talk about the cross-disciplinary search for explaining consciousness from compsci, physics, biology, chemistry, and psychology instead.