Over a month ago Mark Rubin confirmed that Xbox One and PC will be getting dedicated servers, but other platforms weren't discussed. Rubin has now confirmed via TwitLonger and Twitter that current and next-gen consoles will be getting dedicated servers, but he didn't specifically mention any platforms, which is most likely due to an NDA of some sort. At this point it's safe to say that current generation consoles (Xbox 360, PS3) and PlayStation 4 will be getting dedicated servers, like Xbox One and PC.
Mark Rubin: "@xHunter61 I can't call out other platforms by name but one might assume that from what I wrote."
Rubin's post at TwitLonger also mentioned that Ghosts will have a "hybrid system", which will give players the best online experience by placing them in matches on servers that give the best combined overall connectivity performance.
Ghosts PC will also have a server browser and rentable ranked servers after launch:
Mark Rubin: "@Tintindye Matchmaking onto dedis. Hoping to add server browser and rent-able ranked server once we get through launch crunch. no info yet."