This game is played by two players at a round table. They each take turns placing identical coins onto the table's surface. No two coins can overlap, and the entirety of the coin's surface must rest on the table. The loser of the game is the first person who is unable to put down a coin because there is no more room.
Which of the players has a winning strategy? What is it?
Mouse over for a hint:
The first player should place his coin at the center of the table.
He should then place his coin diametrically opposite to the coin placedd by the second player at each turn.