[JRutledge]

Understand that my answer my not directly apply to all the rules or policies in your area. But what I would do is simply take the first games given to you by the first assignor and tell the second assignor of the conflicts and why. Just simply be honest and that should eliminate most of the situation. Now if there are other policies in place that could change exactly what you do, but I treat my schedule as a first come, first serve basis.

Peace