One huge factor in game theory, in my opinion, is consideration of "environment" parameters (as you mentioned) such as scarcity vs.abundance, as well as whether the game's "victory conditions" are zero sum or achievement/goal oriented.

Sometimes there is a mixture... and sometimes there's even just a sandbox where victory becomes unimportant.

I am reminded too... of games where maintaining the starting condition is part of the objective. Games like 'Pandemic' where the conditions only get worse as the game progresses... players actions involve either simply treading water to stay afloat or do damage control on a cascading series of negative events.

Lots to think about here @lukestokes ...thanks for posting this!