to put it short
Intel: Higher clock speed and single-core performance, higher fps in general.
AMD: more cores, better multi-core performance, especially in video decoding/encoding and programming.
Intel's fps over AMD is quite significant in lower resolution and lower quality setting.
If you're into fps gaming, wants squeeze as much fps as you can, and going to use a high refresh rate monitor, go for Intel.
However, the margin gets less significant as you go higher resolution, if you're planning on gaming in high resolution, AMD wouldn't be a bad choice for being cheaper and having better multi-core performance.