The Most Dangerous Game um Game. A first person/third person survival game where you can choose the camera version you prefer for any given siuation. In single player you play as Sanger Rainsford being pursued by General Zaroff. The opening cinematic would be snapshots of Sanger establishing his credentials as a big game hunter. The tutorial would be a flash forward to the upcoming hunt and how Sanger and Witney plan to hunt the jaguar in the Amazon. Then you fall off the boat and end up on Ship-Trap Island with General Zaroff, Ivan and their hunting dogs.
The key mechanic would be the switching between four modes. Flight, where you move faster across terrain and can jump further etc but you leave an obvious trail. Stealth, where you move much slower but leave little evidence. Tracking where your speed is faster than stealth but still fairly slow, and it enables you to see tracks in the environment highlighted through a red trail. Finally Trapping, which highlights potential hazards that can then be used against your pursuers by interacting with them, covering a pit, fashioning a snare, making a false trail through quicksand and the like.
The environment would be largely jungle with paths that allow faster travel but are also used by the General, rocks that are hard to move over but also hard to follow a trail, rivers to try and lose the dogs scent, and maybe an abandoned village/settlement or two to add some variety. Of course there would be the house of the General which would be suicidal to return to while the Ivan is still alive.
General Zaroff would make warning shots for the first few encounters but after a random numbers of encounters would start shooting to kill. Traps when triggered would open a screen in screen mode like the one in Hitman: Blood money to see if they were successful but still allow the player to keep doing whatever it is they are doing.
You would win the game by disposing firstly of the dogs and Ivan with successful traps, and then by trapping Zaroff (non canon) or by circling around to Zaroff's home where you would have your final encounter and then if successful there would be a cutscene of Sanger feeding the dogs.
Multiplayer would see players choose one of the special modes used by Sanger and would use that exclusively. Alternate modes would be one player hunter and everyone else hunted, an AI hunter and teams of hunted working against each other to survive, an AI hunter and a free for all with the last person killed the winner, and teams of hunters and teams of prey, all armed with knives.