User Tools

Site Tools


problem:the_game_of_scoring_misere

Differences

This shows you the differences between two versions of the page.

Link to this comparison view

Both sides previous revision Previous revision
Next revision
Previous revision
problem:the_game_of_scoring_misere [2013/09/14 10:44]
bmwoodruff
problem:the_game_of_scoring_misere [2013/09/14 10:45] (current)
bmwoodruff
Line 1: Line 1:
 ====== 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 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? 
Line 31: Line 31:
 ---- ----
 ==== 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.1379169870.txt.gz · Last modified: 2013/09/14 10:44 by bmwoodruff