Titan is not 3x faster than the GPU in PS4. 1152 SPs @ 800mhz with 176GB/sec memory bandwidth is faster than HD7850 2GB.
Titan is roughly 2x faster than HD7850 @ 1080P:
But hey, what can we expect from the same company that thinks charging a $600 price premium for 30% more performance over HD7970Ghz is reasonable...
I guess NV didn't get the memo that the console has 8GB of GDDR5 and when developers code directly to the metal they extract exponential gains in efficiency/performance. I want to see a $1,000 Titan deliver playable gaming performance in a next gen 2017-2018 game that PS4 will play (i.e., Uncharted 5, etc.).
Typical NV PR for investors. I guess when your $1,000 GPU gets its ass kicked in a 2013 game like Crysis 3 (http://www.computerbase.de/artikel/grafikkarten/2013/test-nvidia-geforce-gtx-titan/17/), you have to start spinning after you lost designs wins for next gen consoles and all the big games like Bioshock Infinite, Far Cry 3, Tomb Raider and BF4 are Gaming Evolved titles.
Undoubtedly in due time, PS4 will have games that look better than Crysis 3 and looking at how the Titan chokes on Crysis 3, it won't play those games in 2017-2020 without taking a dump as it can barely get 43 fps at 1080P in 2013 game like Crysis 3.
If more and more games are optimized for AMD's GPUs and all 3 next gen consoles have AMD hardware, one can guess why NV feels threatened to put down PS4.
