Which Autodesk simulation software I can use with Maya?
Well talk about simulation then i'll suggest you NCloth. I my self use it with Maya it can be hard to wrangle especially if you need the topology to change or need a lot of precise control.
Cloth simulations, I suggest Houdini. Vellum is very good
Use nvidia physX SDK I don't know if it's a plug in or something standalone but these simulations are made to be real-time and will work for game
Isn't Maya and all his products use for the same thing ?
Maya and all of the other packages are made to be pre-rendered. And I'm sure that nvidia has a lot of documentation on how to implement the features into engines.
Cinema4D is famed for having one of the best motion graphics tools that the industry has to offer, but this is just what I heard.