Wouldn’t it also mean that we should treat “perfectly correlated” as isomorphic to “uncorrelated + dictator filter”, since you always believe your vote determined the outcome?
Not ahead of time—you know, ahead of time, that your vote has only one chance in N of determining the result (if you want, drop the “rewriting people’s memories” part of the dictator filter; it’s not really needed).
By the way, how would your application of CDP/SIA to the Absent-minded Driver problem take into account additional evidence fed to you about what intersection you’re at?
Not ahead of time—you know, ahead of time, that your vote has only one chance in N of determining the result (if you want, drop the “rewriting people’s memories” part of the dictator filter; it’s not really needed).
Let me think about that for a bit.