I still think that mitochondrial and other symbiotic models may provide useful inspiration for Friendliness, but the solid base will come from an understanding of human psychology and fairness-perception mechanisms which are universal.
One of the first things you learn in high school biology is that the mitochondria are the power stations of cells. That at one points, eons ago, the mitochondria were seperate organisms, but they some how combined with the cell to form one of the first truly symbiotic relationships. The cell can't live without the mitochondria, the mitochondria can't live without the cell.
I am not too fond if this comparison, if for no other reason than [the image it conjures up in my mind]. Would our only utility to the AI be as batteries, a la Matrix? I know, I know, humans are very ineffecient batteries and what I am eluding to is an unrealistic situation. But the first thing that popped into my head when you refered to mitochondria was "human mitochondria, the power stations of the AI." [lol]
On a more serious note, there are many different levels and types of symbiotic relationships within nature.
1) The fish (can't remember its name) that clean the hippo's teeth. They get a free meal, the hippo get's his teeth cleaned. Neither really needs each other to survive. The fish would still have the ability to find meals in other ways. The hippo would get by with dirty teeth, albeit the lack of maintenance may degrade the condition of his teeth and his projected life span. The fish are the equivalent of maintenance workers. This symbiotic relationship is not (essential) for the survival of either of the organisms.
2) The anemone fish (clown fish) that lives in the anemone. The clown fish gets a place to live and protection from predators. The anemone receives a vital defense from the clown fish, which will defend the anemone against its natural predators which are immune to its sting. Both organism in this scenario are on more or less equal footing since their chances of surival minus the symbiotic relationship would be greatly dimished.
Of course, symbiosis within nature is nothing more than crude metaphor when trying to postulate the potential relationship between humans and AI, but it helps me get a better visual.
However, I think that neither of the above examples that I gave will even closely resembled our relationship with FAI. If the FAI we create will be continously self improving at an exponential rate, then it will be thousands, millions, billions of times more innovative, intelligent, complex, etc. There will be nothing that we can offer it, which leads me to my next example...
Human-dog.
Many would say that dogs are the world's most successful social parasites. Humans have the unattractive characteristic of killing off most of the other organisms in their environment. We are not very kind to the other species on this planet. The exception to the rule would be dogs (and cats).
But what does the dog offer us? Nothing. We feed it, we walk it, we rub its belly. The dog sits there panting. The only thing the dog offers us is nonjudgemental companionship which we readily accept. The key to this relationship is that the dog is 1) not a significant drain on our resources 2) nonthreatening. If either one of these factors change, the dog gets the heaveho. If the dog is 12 years old and has cancer you're not going to spend 10 grand on chemo (unless your one of those emotionally sketchy people), you're going to put the dog to sleep. Likewise, if the dog attacks your three year old son, you are going to have the dog put down.
I think many people would be appalled by me making the comparison between humans and dogs and AI and humans. Our egos get in the way. All I will say is that there is probably more similarity (closer equality) between humans and dogs than there will be between AI and unenhanced humans.
Of course, if humans were to merge with their technology, then who knows what will happen. First, we would be posthumans, humans in the conventional sense would cease to exist or maybe exist on a preservation (I mean reservation [lol] ) in Idaho.
If we become post-humans with thousands of times more intelligence than a normal human, then aren't we also, in effect, AI. Couldn't we potentially have the same powers and capabilities as the AI has?