For STRICTLY 1080 gaming Intel has the edge, particularly in older titles, indy games that can't take advantage of masses of cores and threads or a few AAA titles that just don't like the AMD architecture, so if you want every possible FPS the Blue Team is the way to go.
Currently, and strictly for gaming there's very little advantage with a CPU higher than the i5 8400; it'll get you 95% of the frame rate of faster chips for far less cash.
Going for a GTX1080Ti is nice but difficult to justify for HD resolution, the much cheaper GTX1080 will still give excellent gameplay at that resolution.
BUT, if your budget can reach you may want to consider getting such an overpowered card as a investment for the future.
Here's your original...