Is there some reason to think that the depth of a game by this sort of definition is a good measure to be using in the first place? Presumably the ‘deepest’ game available is ‘test your height and whoever is taller wins’, which with accurate enough measuring instruments has a depth of 7 billion?
Yes, my definition fixes some bugs in the standard definition, but not this bug in particular. I’m not sure it’s even fixable without losing the intuition of “depth” as “number of distinguishable levels”.
Is there some reason to think that the depth of a game by this sort of definition is a good measure to be using in the first place? Presumably the ‘deepest’ game available is ‘test your height and whoever is taller wins’, which with accurate enough measuring instruments has a depth of 7 billion?
Yes, my definition fixes some bugs in the standard definition, but not this bug in particular. I’m not sure it’s even fixable without losing the intuition of “depth” as “number of distinguishable levels”.