Abstract Algebra IBL Wiki

This page is read only. You can view the source, but not change it. Ask your administrator if you think this is wrong.
====== The Game Of Scoring Misere ======
==== Problem ====
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, 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.

----
==== Remarks ====  
  * Make remarks with a list.

----
==== $\LaTeX$ version ====
<file tex problem.the_game_of_scoring_misere.tex>
%%%%%
% DEPENDENCIES
% RequiredPackages: \usepackage{tikz}
% RequiredMacros: \DeclareMathOperator{\aut}{Aut} 
%%%%%
\begin{problem}
%The Game of Scoring Misere
\item A 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 \emph{Scoring}, but this time we'll play it as a misere game. 
 \begin{enumerate}
  \item 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.? 
  \item 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.? 
  \item 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.
 \end{enumerate}
\end{problem}
</file>

----
==== External links ====
  * [[wp>Mis%C3%A8re#Mis.C3.A8re_game|Misere Game]]

{{tag>problem}}
Abstract Algebra IBL Wiki

User Tools

Site Tools

Page Tools
