\relax \providecommand\hyper@newdestlabel[2]{} \@writefile{toc}{\contentsline {chapter}{\numberline {25}Game theory}{235}{chapter.25}\protected@file@percent } \@writefile{lof}{\addvspace {10\p@ }} \@writefile{lot}{\addvspace {10\p@ }} \@writefile{toc}{\contentsline {section}{\numberline {25.1}Game states}{235}{section.25.1}\protected@file@percent } \@writefile{toc}{\contentsline {subsubsection}{Winning and losing states}{235}{section.25.1}\protected@file@percent } \@writefile{toc}{\contentsline {subsubsection}{State graph}{236}{section.25.1}\protected@file@percent } \citation{bou01} \@writefile{toc}{\contentsline {section}{\numberline {25.2}Nim game}{237}{section.25.2}\protected@file@percent } \@writefile{toc}{\contentsline {subsubsection}{Analysis}{237}{section.25.2}\protected@file@percent } \citation{spr35} \citation{gru39} \@writefile{toc}{\contentsline {subsubsection}{Misère game}{238}{section.25.2}\protected@file@percent } \@writefile{toc}{\contentsline {section}{\numberline {25.3}Sprague–Grundy theorem}{238}{section.25.3}\protected@file@percent } \@writefile{toc}{\contentsline {subsubsection}{Grundy numbers}{238}{section.25.3}\protected@file@percent } \@writefile{toc}{\contentsline {subsubsection}{Subgames}{240}{section.25.3}\protected@file@percent } \@writefile{toc}{\contentsline {subsubsection}{Grundy's game}{240}{section.25.3}\protected@file@percent } \@setckpt{chapter25}{ \setcounter{page}{242} \setcounter{equation}{0} \setcounter{enumi}{5} \setcounter{enumii}{0} \setcounter{enumiii}{0} \setcounter{enumiv}{0} \setcounter{footnote}{2} \setcounter{mpfootnote}{0} \setcounter{part}{3} \setcounter{chapter}{25} \setcounter{section}{3} \setcounter{subsection}{0} \setcounter{subsubsection}{0} \setcounter{paragraph}{0} \setcounter{subparagraph}{0} \setcounter{figure}{0} \setcounter{table}{0} \setcounter{lstnumber}{3} \setcounter{Item}{7} \setcounter{Hfootnote}{42} \setcounter{bookmark@seq@number}{129} \setcounter{parentequation}{0} \setcounter{fileFrom}{0} \setcounter{rankFrom}{0} \setcounter{fileTo}{0} \setcounter{rankTo}{0} \setcounter{ps@inverse}{0} \setcounter{ps@knightangle}{0} \setcounter{halfmove}{0} \setcounter{move}{0} \setcounter{helpgobble}{0} \setcounter{helpnumber}{0} \setcounter{helpnumberMove}{0} \setcounter{idxcols}{2} \setcounter{lstlisting}{0} \setcounter{section@level}{0} }