# optimization

## Rendezvous on a line โ โ โ

Author(s): Alpern

\begin{problem} Two players start at a distance of 2 on an (undirected) line (so, neither player knows the direction of the other) and both move at a maximum speed of 1. What is the infimum expected meeting time $R$ (first time when the players occupy the same point) which can be achieved assuming the two players must adopt the same strategy? \end{problem}

Keywords: game theory; optimization; rendezvous