In the long run, Vive will likely have no exclusives; games made for Vive automatically get a wrapper that lets them run on Oculus Rift, though with worse performance than native Oculus games. Where this falls apart is the fact that Rift doesn't have motion controllers yet, so any Vive game that requires its controllers won't work. However, there's a chance (though not guaranteed) most of those games will work with Oculus Touch controllers when they come out later this year.
The Rift, on the other hand, has plenty of exclusives; any game written using its SDK will need to be ported to Vive to work, and games that Oculus helped fund development for won't be ported to Vive. However, Oculus had said they won't mind if users hack Rift games to run on the Vive, and it's very likely a Vive wrapper program will be written soon (there's already a Rift emulator for Google Cardboard). Eve Valkyrie has indeed been confirmed by Oculus to be an exclusive on PC (PSVR is getting it, though). Eve Valkyrie might just be a timed exclusive; we don't know the details.
PSVR is a different beast altogether, it's gonna get a number of exclusives just because it gets console developers who don't release games on PC, and Sony is all about the exclusives. It will however get a number of the PC VR games ported to it.