Okay, I’ve changed the Savage’s theorem entry to specifically call out that actions are defined as the things that lead to outcomes, and can lead to different outcomes depending on external possibilities in event-space. If that stops being true (e.g. if the outcome depends on something not in our external event-space, like which strategy you use), Savage’s theorem no longer applies (at least not to those objects, it still might apply to e.g. strategies that lead to different outcomes depending only on external possibilities in event-space).
Okay, I’ve changed the Savage’s theorem entry to specifically call out that actions are defined as the things that lead to outcomes, and can lead to different outcomes depending on external possibilities in event-space. If that stops being true (e.g. if the outcome depends on something not in our external event-space, like which strategy you use), Savage’s theorem no longer applies (at least not to those objects, it still might apply to e.g. strategies that lead to different outcomes depending only on external possibilities in event-space).