gameGame2002-07-23 22:39:532003-06-13 15:52:51Definitionoutcomegameplayerutility functionpayoff% this is the default PlanetMath preamble. as your knowledge
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% define commands hereIn general, a \emph{game} is a way of describing a situation in which \emph{players} make choices with the intent of optimizing their \emph{utility}. Formally, a game includes three features:
\begin{itemize}
\item a set of pure strategies for each player (their strategy space)
\item a way of determining an \emph{outcome} from the strategies selected by the players
\item a utility function for each player specifying their \emph{payoff} for each outcome
\end{itemize}