I'm thinking of the scenario where 10 people all help solve the problems, vs when 1 person does all the thinking, and then hands out orders to the other 9.

Scenario 1 is obviously better, at least if the people are reasonably smart.

That doesn't mean all 10 are coequal leaders, and how to organize things so responsibility dynamics work well is... outside the scope of this comment. Also, I don't have a complete answer :)