The NVIDIA GPUs Delivering The Best Performance Per Watt & Per Dollar For Linux Gamers
BioShock Infinite on Linux was running well at 1080p for the GeForce GTX 950 and faster.
The performance-per-dollar and performance-per-Watt leaders are fairly consistent at this point...
You'll need a rather beefy graphics card to run BioShock Infinite smoothly at 4K on Linux.