Consider a two-player game played on a circular table of unspecified diameter.
Each player has an infinite supply of quarters (coins), and take turns placing a quarter on the table such that it is completely on the table and does not overlap with any other quarters already played.
A player wins if he makes the last legal move.
Which player (if any) has a strategy that will guarantee a win? Assume that the diameter of the table is greater than the diameter of the quarter.