I want to model an interaction between a government and its citizens using the game theory extensive form, but I want to express the posibility that the citizens don't act as a unique agent. For example, government imposes a new tax, some of the citizens pay it without problems, but others don't do it because socioeconomical problems.
Obviously, both situations can happen at the same time so in the extensive form there wouldn't be a unique selected leaf node. Does this mean that I can't use extensive form in this case?
I'm looking for an example in the game theory literature, but I can't find anything.