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Game Strategy (pick the lowest unrepeated number)

  1. Sep 4, 2011 #1
    This is a game with N players where each player secretly picks a number from 0 to 100. The winner is the player who picks the lowest unrepeated number. Which number would you pick? What would be your strategy?
     
  2. jcsd
  3. Sep 4, 2011 #2

    gb7nash

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    It's probably not the smartest number to choose, but I'd choose 0. Only because if I assume that every other player has the mentality that at least two people will choose 0, nobody would choose 0. However, if someone else thinks the same way I do, then I'll probably lose.
     
  4. Sep 5, 2011 #3
    I'm thinking that more than one will have the strategy of post #2. So I'd choose 0.0000000000000000000000000000000000000000000001
     
  5. Sep 6, 2011 #4
    In the non-cooperative scenario, this game has no pure Nash equilibrium. The mixed one is attained when all players pick one of the N numbers randomly, using a uniform distribution.
     
  6. Sep 6, 2011 #5
    the guy who answers this1 needs to be a psychologist not a mathwiz
     
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