# Is there an election system in which the outcome is fractional?

Most election systems are "discrete" in the sense that each candidate is either elected or not elected. One could think of an election system that is "fractional", for example: if there are two candidates for presidency, one wins 60% and one wins 40% of the votes, then the first serves for 60% of the time and then rotates with the second, who serves for 40% of the time (to make it more practical, there may be a threshold of, say, 25%).

It is similar to the idea of proportional representation, but applicable not only to parliaments but also to single-person offices such as presidency.

Is there a common term for such an election system?

I found the term "probabilistic social choice", which is somewhat similar, but the fractions are interpreted as probabilities, so in the above example, after the elections there is a lottery in which the first candidate is elected with probability 60%, otherwise the second is elected.