But there is no analog to splitting up your vote
Sure (to the extent that we are considering the effects of “what if everyone used the algorithm I’m using”): you vote for the Greens with probability p and for the Blues with probability 1 - p.
Sure (to the extent that we are considering the effects of “what if everyone used the algorithm I’m using”): you vote for the Greens with probability p and for the Blues with probability 1 - p.