This situation came up in another game we were playing but I've stripped out all of the things specific to the game to create a generalized problem. (Blood on the Clocktower was the real game if anyone wants to know the actual situation I can post it in comments.)
In this scenario, the game is in State 1 or State 2, and neither player has any idea what state the game might be in. If your goal is to min-max your own score, and the scenario is only played once, does either A or B have an optimal strategy?


