You and the other players work at Loop Incorporated, the most prestigious time travel agency in the world. Well, that's not entirely true.
It's a mismanaged, thirdtier agency owned by the slick Mr. Loop, who cares more about making a buck than making sure the delicate weave of the space-time continuum stays tight and safe.
For you and your coworkers, it's as good a job as any, and if you time things just right you may even get a nice bonus at the end of the day. And since you have a time machine, you can take multiple cracks at it ... assuming things don't get too chaotic with your past selves running around. …