It turns out that if you write down on the list of requirements that you would want from a voting system in order for it to be fair, the no deterministic voting

It turns out that if you write down on the list of requirements that you would want from a voting system in order for it to be fair, the no deterministic voting system is fair. This is known as Arrow's theorem (https://en.m.wikipedia.org/wiki/Arrow%27s_impossibility_theorem https://en.m.wikipedia.org/wiki/Arrow%27s_impossibility_theo...). Interestingly Arrow's theorem doesn't apply to randomized voting systems. In particular, the system of picking a random voter to decide the election satisfies (probabilistically) every standard notion of fairness.