Evidential decision theory is a school of thought within decision theory according to which the best action is the one which, conditional on your having chosen it, gives you the best expectations for the outcome.
This is not the same as “being a randomly chosen member of a group of people...” and I’ve explained why. The information about group membership is contained in the filtration.
According to wikipedia, the definition of EDT is
This is not the same as “being a randomly chosen member of a group of people...” and I’ve explained why. The information about group membership is contained in the filtration.