%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%% Notation macros
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

\newcommand{\pstates}{L}                        % physical states
\newcommand{\pactions}{R}                       % physical actions
\newcommand{\pspace}{(\pstates, \pactions)}     % physical space
\newcommand{\psubshift}{\mathcal{\pstates}}
\newcommand{\payoff}{G}
\newcommand{\shift}{\operatorname{shift}}
\newcommand{\strategy}{\mu}
\newcommand{\behavioral}{P}
\newcommand{\truncated}{\widetilde \behavioral}
\newcommand{\gamevalue}{V}
\newcommand{\cone}[1]{C_{#1}}
\newcommand{\atime}{\theta}
\newcommand{\mcmatrix}{N}
\newcommand{\mcstationary}{\sigma}
\newcommand{\mcmeasure}{\nu}
\newcommand{\mc}{\mathcal{M}}
\newcommand{\sstates}{S}
\newcommand{\sactions}{A}
\newcommand{\sspace}{(\sstates, \sactions)}
\newcommand{\ssubshift}{\mathcal{S}}
\newcommand{\olength}{h}
\newcommand{\lift}{{\widetilde \observation}}

\newcommand{\subshift}{\mathcal{X}}
\newcommand{\projection}{X}
\newcommand{\cylinder}{\mathcal{C}}
\newcommand{\targets}{T}
\newcommand{\observation}{Y}
\newcommand{\observations}{\mathcal{O}}
\newcommand{\attackduration}{\tau}
\newcommand{\timedistribution}{\Theta}
\newcommand{\attacktime}{\theta}
\newcommand{\values}{V}
\newcommand{\cost}{C}

\newcommand{\units}{U}
\newcommand{\topology}{\mathcal{T}}
\newcommand{\locations}{L}
\newcommand{\routes}{R}
\newcommand{\length}{d}
\newcommand{\coverage}{\Gamma}
\newcommand{\decision}{D}

\newcommand{\markovmeasure}{Q}
\newcommand{\transition}{N}
\newcommand{\stationary}{\sigma}
\newcommand{\paths}{\pi}

\newcommand{\actionable}{I}
\newcommand{\attack}{A}

\newcommand{\achoice}{\mathcal{A}}

% \newcommand{\tr}{P}
