Well, I'm asking this for two reasons. First, because of my combined clumsiness for sports and English. And second, because due to the whims of my boss I have to keep using flowery terms in the scientific paper that I'm writing.
Even if I can be done with the generic word "agent", I need to put a metaphor of a "game" for something as mundane as a "stochastic process". I basically need two words, one of them can be "player", although it doesn't hurt if it needs to be different, and the other something that roughly means "game assistant", "game facilitator", "batboy" (I can't use this because my boss will think is too vulgar), in practically any sport. I'm asking for a word like this.