If you think about it, having AI run our government is the next logical step, and a natural evolution. All governmental systems are inhuman systems that self-correct.
If you think about it, having AI run our government is the next logical step, and a natural evolution. All governmental systems are inhuman systems that self-correct.
Of course, this system will still be constructed according to the biases and fears of real humans. Most people wouldn't call it an "AI government" because there's already an elected government calling the shots ... to a certain extent.
There are already quite a few platforms for doing this. Constructing and running many of them is the job of the MITRE Corporation.
http://en.wikipedia.org/wiki/Mitre_Corporation
A friend of mine works there, constructing quite complex computer models to estimate the impact of (sometimes very small) changes in government policy or services.