Take the 2-minute tour ×  I recently heard of a game between two
players "Line" and "Point" and wanted to look for more
information on it. However, without knowing the name of it (if
it has one) finding more information is hard, has anyone heard
of it? Is there a winning strategy for one of the players?  The
game is as follows, it is played on the unit disk $D^2$ in
$\mathbb{R}^2$ with the point $p_0 = (0,0)$ marked to begin
with. Play alternates between L and P (starting with L) and on
turn $n$ they do the following:  L chooses a new line $l_n$
through point $p_{n-1}$ and then P chooses a new point $p_n$ on
line $l_n$ inside $D^2$.  This forms a sequence of points
$(p_n)_{n = 1}^\infty$ in $D^2$. L wins if this sequence
converges to a point in $D^2$, P wins if it does not.  As far as
I can tell P has a winning strategy, but I my formal proof for
this is a sketch at best.  share|improve this question I have
troubles with understanding what a wining strategy is: your game
is infinite! –  Wadim Zudilin Jul 15 '