Before I start, let me clear something up: “Single player” in Game Theory does not mean the same as “Single Player” in video games. A “player” in Game Theory is an entity, whether human or artificial, nature or co-player, whose decisions affect the outcome of the game. Now to continue.
Actually, a lot of your examples differ greatly from each other. Let me tackle them one by one.
- Fire Emblem: I believe that Fire Emblem has adversaries during the game. If you follow a walkthrough that tells you to go to this square, does it completely determine that you will succeed in defeating your enemy? Or will your AI adversary make enough variations in his movement to force you to change your play style. Hence, it is a game.
- Mario: I will take the classic Super Mario Bros as basis for this. While there are adversaries in Mario, in the strictest sense, the way they move is quite predictable. In a sense, they do not actually make decisions, rather, they follow a pattern. Therefore, I may consider these enemies to be “obstacles” rather than “adversaries.” In this case, you may be guided by a walkthrough all the way and succeed pretty easily, even with the boss battles. Of course, it takes skill and timing to get the jumps right, so I would consider it a Game of Skill and, thus, shouldn’t be classified as a game
- Professor Layton: Puzzles in themselves are considered Games of Skill, so that kind of answers the question.
- DanganRonpa: While the bulk of Danganronpa is like an adventure game/VN, the other minigames (like shooting those words that move around) can be controlled by “nature”, and the decisions that “nature” makes can affect the outcome of your decisions. So I guess it’s a not-game that contains games hahaha
Again, this is all from a Game Theory perspective, and Game Theory is a field that relies heavily on decision making. If there aren’t at least two players whose decisions affect the outcome of the game, then it isn’t a game, in a very strict sense.
That’s something I can honestly agree with Which is why my only goal in this topic is to introduce people to the wonderful world of Game Theory, which does list off a series of properties that a game should have.