\documentclass{beamer}
\usetheme{default}

\setbeamertemplate{frametitle}[default][center]

\title{"Risk" in an untrusted setting}
\author{Jude Southworth}
\begin{document}
\begin{frame}[plain]
    \maketitle
\end{frame}
\begin{frame}{Risk}
	\begin{itemize}
		\item \textit{Risk} is a popular strategy board game.
		\item It is played on a single board, depicting a world map, partitioned into regions.
		\item A player owns a region of the map by stationing troops within the region.
		\item Players fight for regions by gambling some of their troops against the troops in the other player's region.
	\end{itemize}
\end{frame}
\begin{frame}{Risk}
	\begin{itemize}
		\item \textit{Risk} has a variant called "fog of war".
		\item In this variant, players cannot see the number of troops stationed within regions they don't control, or don't neighbour.
		\item This variant is therefore only played online, in a \textbf{trusted setup}.
	\end{itemize}
\end{frame}
\begin{frame}{Proposition}
	\begin{itemize}
		\item Play fog-of-war Risk in an untrusted setup.
		\item In the untrusted setup, the same guarantees should be made as the trusted setup, but on a peer-to-peer network.
	\end{itemize}
\end{frame}
\begin{frame}{Proposition}
	\begin{itemize}
		\item Zero-knowledge proofs. \begin{itemize}
			\item 
		\end{itemize}
		\item Asymmetric encryption. \begin{itemize}
			\item 
		\end{itemize}
		\item Hashing. \begin{itemize}
			\item 
		\end{itemize}
	\end{itemize}
\end{frame}
\end{document}