Couldn't it be beneficial to rewrite its utility function in a few circumstances? I'm thinking of Eliezer's decision theory ideas here. Imagine the utility function was to maximise human happiness but another agent (AI or human) refused to cooperate unless it changed its utility function to maximising human happiness while maintaining democracy, for instance. If cooperation would be necessary for happiness maximisation, it might be willing to edit the utility function to something more likely to achieve the ends of its current utility function...
Link: physicsandcake.wordpress.com/2011/01/22/pavlovs-ai-what-did-it-mean/
Suzanne Gildert basically argues that any AGI that can considerably self-improve would simply alter its reward function directly. I'm not sure how she arrives at the conclusion that such an AGI would likely switch itself off. Even if an abstract general intelligence would tend to alter its reward function, wouldn't it do so indefinitely rather than switching itself off?
If it wants to maximize its reward by increasing a numerical value, why wouldn't it consume the universe doing so? Maybe she had something in mind along the lines of an argument by Katja Grace:
Link: meteuphoric.wordpress.com/2010/02/06/cheap-goals-not-explosive/
I am not sure if that argument would apply here. I suppose the AI might hit diminishing returns but could again alter its reward function to prevent that, though what would be the incentive for doing so?
ETA:
I left a comment over there:
ETA #2:
What else I wrote: