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problem:the_game_of_scoring_misere

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problem:the_game_of_scoring_misere [2013/09/14 10:32]
bmwoodruff created 		problem:the_game_of_scoring_misere [2013/09/14 10:45] (current)
bmwoodruff
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 ====== The Game Of Scoring Misere ====== ====== The Game Of Scoring Misere ======
 ==== Problem ==== ==== Problem ====
-A [[misere game|http://en.wikipedia.org/wiki/Mis%C3%A8re#Mis.C3.A8re_game]] is a game played by the regular rules with one change; whoever wins the game according the regular rules is the loser. Consider again the game of \emph{Scoring}, but this time we'll play it as a misere game.  +A [[http://en.wikipedia.org/wiki/Mis%C3%A8re#Mis.C3.A8re_game|misere game]] is a game played by the regular rules with one change; whoever wins the game according the regular rules is the loser. Consider again [[the game of Scoring]], but this time we'll play it as a misere game.  
-  - For which values of $n$ does the first player have a winning strategy when playing misere, provided each player must take 1, 2, or 3 objects.?  +  - For which values of $n$ does the first player have a winning strategy when playing misere, provided each player must take 1, 2, or 3 objects?  
-  - For which values of $n$ does the first player have a winning strategy when playing misere, provided each player must take 1, 2, 3, or 4 objects.? +  - For which values of $n$ does the first player have a winning strategy when playing misere, provided each player must take 1, 2, 3, or 4 objects? 
   - If instead a player must take between 1 and $k$ objects, conjecture the values of $n$ for which the first player has a winning strategy when playing misere.   - If instead a player must take between 1 and $k$ objects, conjecture the values of $n$ for which the first player has a winning strategy when playing misere.
  
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 ---- ----
 ==== External links ==== ==== External links ====
-  * [[wp>Dihedral group]]+  * [[wp>Mis%C3%A8re#Mis.C3.A8re_game|Misere Game]]
  
 {{tag>problem}} {{tag>problem}}
problem/the_game_of_scoring_misere.1379169162.txt.gz · Last modified: 2013/09/14 10:32 by bmwoodruff

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