In order to model a card game, as an exercise, I was thinking of an elementary setting as a multiarmed bandit, each lever being the distribution of expected rewards of a specific card.
But, of course, the player only has some cards in the hand each round, or, equivalently, for a given round, it has available a number $n$ of arms randomly selected from the total number $N$ of levers.
Is this just a "contextual bandit" or has it some specific, narrower, name that I could use to look up in the literature?
