The protagonist for staying on a job like this past the first night, considering the fact that death robots designed as humanoid animals are after his blood, his co-worker dies before his first week is over, and the fact that he's only paid minimum wage. You can potentially wise up on the seventh night and use the level editor to make the robots not murder you. Or, if you're the suicidal kind, you can crank up their AI to the max. Changing the robots' AI results in you being fired for tampering with the animatronics, but honestly, that's the best thing that could happen to you.
It does make a little sense. The only hint you get that the robots are dangerous comes from a recording made from a man who is clearly covering up something. And even after you see that the animatronics do indeed move at night and try to reach your office, you still don't have real proof that they are going to kill you (the fact that a couple of robots are malfunctioning and acting in a creepy way is easier to believe than the fact that said robots can and will kill you). The protagonist could've decided to keep the robots out just in case.
The restaurant's owning company, Fazbear Entertainment Management, seems to be unbelievably incompetent and completely unaware of how to properly run a business. In fact, they're going out of business. You find out near the end of the game that by year's end, Freddy's Pizza is going to shut down.
Played with with the Phone Guy, who has stuck around with his job for more than a week. However, he's probably not outright stupid to survive for so long, presumably without the same tips he gives you, though he does eventually get killed right before retiring.
After somehow catching the luckiest break in the world, managing to stay open and even expand the restaurant, they were idiotic or insane enough to keep the old animatronics that killed people. This is actually averted to a degree with the reveal that the game is a prequel. Phone Guy's call in Night 1 seems to imply that even he is not fully aware of just how dangerous the animatronics are at first (when compared to his first calls in FNAF 1 where he's fully aware of how dangerous the machines are and properly warns Mike Schmidt about them, in the beginning, he just seems to think them moving around is a nuisance), and it's revealed later that this game takes place before the child murders and the Bite of '87. However, Fazbear Entertainment is still aware that the machines are moving on their own and pose some sort of threat, so they're probably still pretty stupid.
There's also what they did with the new Foxy. After it was destroyed one time too many, they just gave up and made it into a "take apart and put together" activity for the kids. They're letting kids (and very young ones at that, given that Kid's Cove is referred to as the toddler room) play around with parts of an animatronic that are probably fairly heavy and have sharp bits, wires hanging out, and no doubt small parts that could come off. Yeah, that seems like a good idea.
There's Misapplied Phlebotinum here as well: Freddy Fazbear's has bipedal humanoid face-recognizing robots, capable of walking and crawling through vents, in the late 80s. This would have been way beyond anything anyone had done in robotics at the time — even the later producers of ASIMO didn't have full humanoid bodies back then. There is absolutely no reason they'd be running a pizza place rather than becoming the IBM of robotics. Don't even get started on the logistics, vision, detection, and feedback necessary to pick up a human and stuff them into a suit, which is far beyond anything robotics could do in 2014.
To a certain degree, the new night guard, as hinted by the trailer.
"Well, if you're hearing this, then chances are you've made a very poor career choice."
The security guard shows up every night to a building where the ventilation stops working every couple of hours, and, oh yeah, there's a killer robot out to get them. A robot taken from an establishment whose claim to fame is robots killing security guards.
Furthermore, at least in the first two games, the protagonists were basically trapped in the office by multiple animatronics, with no easy access to an escape route once they became active. However, CAM 1 in this game shows that the building has an exit in the hallway directly outside the door, meaning that this game's fellow could simply leave the building at any time.
Even compared to Mike, Jeremy, and Fritz, "Eggs" qualifies when he comes back to his job after Baby locks him away in a springlock suit to hide him from the technicians. Somewhat justified in that he seems to be investigating the animatronic that killed his sister, or, alternatively, is there to try and see her again.
The advertisement for a job at Freddy's that begins the game cheerfully gives the player laughably poor advice ("Now it's time to put all of your eggs in one basket, and to take a huge gamble on your future — A gamble that has a 100% chance of success in some cases.") and is almost completely unsubtle about the risk of killer animatronics if you decide to get a quick discount. If the in-game player took the ad seriously and then signed up for the job afterwards, that would plant them firmly into this trope. Subverted, however, as the Cassette Man implies they wanted to face the animatronics and help end the nightmare once and for all.
