the Intel has a slightly better FPS, on some games like Battlefield but if you put the same game up against the AMD while you are streaming, the AMD will beat it every time. It all depends on what you want to play and how you want to play. that being said go to YouTube and search Razetheworld. he has done benchmarks comparing the Intel and AMD
In playing games that are video intensive I have found going with a high end video card to be better than a processor for the video has its own memory. It is truly a matter of preference for AMD runs hotter than Intel but is better for gaming Intel is a better processor for general application. Remember to match the best cooling, power supply, with your processor pick.