Subject: Based on Einstein's theory of Relativity... I don't have space to ask

Based on Einstein's theory of Relativity if two space ships are flying towards 
each other (slightly offset so the don’t collide) at close to the speed of 
light and each fire a ball so that the balls collide and return to the moving 
spaceship that fired it to the observer it appears as if the balls were fired 
simultaneously. To each of the spaceships it appears as if the other spaceship 
fired first. My question is if each spaceship waited till the other spaceship 
fired would they ever fire? Would one ships have to fire based on a timer? What 
if one ship fire late? Would the other ship see they fired late and compensate 
and therefore is it impossible to fire late since the other person would then 
fire late as well? Thanks.

Re: Based on Einstein's theory of Relativity... I don't have space to ask