Body: <p>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.</p>
  
  <p>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 <span class="math-container">$n$</span> of arms randomly selected from the total number <span class="math-container">$N$</span> of levers. </p>
  
  <p>Is this just a "contextual bandit" or has it some specific, narrower, name that I could use to look up in the literature?</p>
  
Comments.ContentLicense: CC BY-SA 3.0
Comments.CreationDate: 2018-03-03T22:54:57.820Z
Comments.Text: To clarify, is there only one state of the game? Can you only select 1 card?
Comments.UserDisplayName: Jaden Travnik
Comments.ContentLicense: CC BY-SA 3.0
Comments.CreationDate: 2018-03-06T12:30:38.913Z
Comments.Text: 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.
Comments.UserDisplayName: arivero
Tags: <reinforcement-learning><multi-armed-bandits><contextual-bandits>
Title: Name of a multiarmed bandit with only some levers available
UserDisplayName: arivero
ThreadText: # Name of a multiarmed bandit with only some levers available
  
  (Asked by: username_0 on 2018-03-02)
  
  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?
  
  **Tags:** reinforcement-learning, multi-armed-bandits, contextual-bandits
  
  > **Comments:**
  > **username_1**: To clarify, is there only one state of the game? Can you only select 1 card?  
  > **username_0**: 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.  
  
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  ## 0 answers
  
  