I was once joking when I thought we should be governed by robots that cannot deviate from their programming to serve and protect citizens.
That vaguely reminds me of the society in Clarke's The Songs of Distant Earth. The president was a boring administrative position, without opportunities to actually screw things up. The position was filled by means of a bi-annual lottery. The only way you could get exempted from the lottery was by means of having a mental handicap or by having committed a severe felony. (Trying to weasel out after having been drawn to be the next president was a serious felony in itself.