I've been meditating lately on a possibility of an advanced artificial intelligence modifying its value function, even writing some excrepts about this topic.

Is it theoretically possible? Has anyone of note written anything about this -- or anyone at all? This question is so, so interesting for me.

My thoughts led me to believe that it is theoretically possible to modify it for sure, but I could not come to any conclusion about whether it would want to do it. I seriously lack a good definition of value function and understanding about how it is enforced on the agent. I really want to tackle this problem from human-centric point, but i don't really know if anthropomorphization will work here.