Maybe this is a definitional argument, but I'd say the latter would be complementary, not cooperative. A cooperative model is one where people work together to achieve an outcome, like two kids working together on a school assignment.

Outside an individual company, competition is favoured over cooperation, except when companies work together on e.g. supply chains.

Yep, you're correct about that terminology, thanks. I'll leave my comment as-is because it'll be less confusing for anyone reading yours.

It's possible that companies (knowingly or unwittingly) co-operate under some circumstances, though - even if competition is generally the {expected/favoured} model.