# Name of a multiarmed bandit with only some levers available

In order to model a card game as an exercise I was thinking an elementary setting as a multiarmed bandit, each lever being the distribution of expected rewards of an specific card.

But of course the player only have 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?

• To clarify, is there only one state of the game? Can you only select 1 card? – Jaden Travnik Mar 3 '18 at 22:54
• Yep, habitual game mechanics: you have received $n$ random cards from an stack of $N$, you can play one. In some cases, (eg bridge) perhaps even less than $n$. Seems contextual, but very particular. – arivero Mar 6 '18 at 12:30