We stand in front of a round table, both equipped with infinite amount of quarters. I suggest the next game: we alternately place a coin on the table, so that it doesn't overlap with any other coin on the table. When a player has no more room, he loses, and forfeits all his coins on the table.
Provided that you start, and you are so greedy that even though you have infinite number of coins you look to extend your collection, suggest a strategy so that you'll win surely.