Hunger stars a young girl called Six who is kidnapped and forced to work at an underwater retreat called The Maw, which exists to serve the rich and powerful. The game centers on Six's journey through The Maw as she attempts to win back her freedom, and while on her adventures Tarsier says she'll catch "a glimpse at the corrupt heart of modern happiness."
Clearly it's still early days for Hunger since it was unveiled just yesterday and only with concept art, but a PS4 release makes sense given Tarsier's ties to Sony. After releasing Rag Doll Kung Fu: Fists of Plastic on PS3 and co-developing LittleBigPlanet Vita, Tarsier says it's currently working closely with Sony Computer Entertainment. It's unclear if that specifically relates to Hunger, but the game may well be the same unannounced title Tarsier signed a first-party deal with Sony for, back in 2010.
Hunger (Concept Art)