Um... what happens if the two leads can't agree?
I've had this happen to me multiple times in my career: I was one of the "two leads". My counterpart was an idiot. Completely uninformed and unwilling to listen to reason, but willing to go to the mat for his own stupid ideas. That left me with only two options: acquiesce despite my firm belief that doing so would not be in the best interests of the organization, or break the algorithm and force the supervisor to make the decision.
Of course, I'm sure my counterpart felt exactly the same way about me.