The PS4 is all set to host the exclusive The Order: 1886, and it's actually sounding pretty cool so far, despite the fact that we don't have any major info on it. Slowly but surely it's starting to creep out though, and now we know by way of Behind the Games that there is no multiplayer component.
When asked about a potential PS3 version down the line, Ready at Dawn boss Ru Weerasuriya stated, "We currently [are] work[ing] exclusively on the PS4 version. Games are always designed for cross-platforms, But clearly, if there is a possibility to take over the physics system to other platforms, we would use this [version]."
Hopefully we'll get some more substantial information sooner than later.
The Order: 1886 will have No multiplayer mode [Behind the Games]