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Fair Games

  1. Mar 27, 2006 #1
    Is is possible for a game to be fair but not futile?
     
  2. jcsd
  3. Mar 27, 2006 #2

    matt grime

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    Of course. Scissor paper stone is one that is fair but not futile (there is no strategy that forces a draw).
     
  4. Mar 27, 2006 #3
    Thanks. Here's a follow up: If a game allows the first player to forfeit his first move, then there cannot be a winning strategy for the second player, right? Since if there is such a strategy for player 2, then player 1 could simply forfeit the frist move and adopt the strategy of player 2.
     
  5. Mar 29, 2006 #4

    matt grime

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    That assumes that the same options are open to all players at all times (apart from the first move). It is trivial to give a (trivial) game where 'player 2' has a winning strategy; forfeiting your first move *is still a move*.
     
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