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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?

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    $\begingroup$ To clarify, is there only one state of the game? Can you only select 1 card? $\endgroup$ – Jaden Travnik Mar 3 '18 at 22:54
  • $\begingroup$ 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. $\endgroup$ – arivero Mar 6 '18 at 12:30

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