If it's important to me that my children have food, and my reward function is such that I get 1 unit of reward for 1 unit of fed-child, and you give me the ability to edit my reward function so I get N units instead, I don't automatically do it.
Is your reward function the warm glow you feel when your child is fed? (A parent choosing to ramp this up would be analogous to a parent in real life choosing to take a drug that feels great with no consequences in response to their kid eating a meal. This would indeed be a strange thing to do. Maybe a parent would agree to the arrangement as the only way of obtaining that drug..)
Or is your reward function the health and well-being of your child, which is the reason you wanted them to eat in the first place. In which case, parents would certainly do what they could to ramp that up.
(My question might be leading in the direction of SRStarin's comment, I'm not sure.)
If it's important to me that my children have food, I will take the steps I think will lead to my children being fed.
My reward function in this case is whatever structures in my mind reinforce the taking of actions that are associated in certain ways with the structures that represent my children having food. Maybe there's a subjective component to that ("warm glow"), maybe there isn't.
A sufficiently advanced neuroscience allows me to point to structures in my own brain and say "Ah, see? That is where my preference for my children to have...
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: