Final answer:
In F. Scott Fitzgerald's 'The Great Gatsby', Mr. McKee claims to be in the 'artistic game,' which he discusses with the novel's narrator, Nick Carraway.
Step-by-step explanation:
The character who claims to be in the "artistic game" is mentioned in F. Scott Fitzgerald's novel The Great Gatsby. Specifically, the character Mr. McKee is the one who declares himself to be part of the artistic game. During a conversation in Chapter 2, when the group is in Tom Buchanan's apartment for a party, Mr. McKee reveals this to Nick Carraway, the novel's narrator, indicating his involvement in the world of art and photography. This is meant to showcase a bit more about his character and the pretensions and affectations of some of the people in Gatsby's world.