I do some GT modeling, and have a background in supply chain. Personally, i do not know of a tool that combines the two (RM and GT). When i have very specific projects, like the one that you have, i like to build my own tool (either in Java or C++). and i know that it will do exactly what i want it to do, tailored on my needs.
Can you elaborate the problem? Given the question, it seems a little vague as Game Theory has no meaning unless there is an interactive environment. If you do not want to share the problem in public, you can inbox me.
There is an article "Dynamically Consistent Cooperative Solution in a Differential Game of Transboundary Industrial Pollution" (author: David W.K. Yeung) (J Optim Theory Appl (2007) 134: 143–160). I am not sure whether this is helpful to your resource allocation problem.