Question

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 coin.

Answer 1

Answer:

On the first move place the coin on the center of the table. Then player B will place his coin anywhere on the table. Now, you put your coin on the line of diameter passing through the coin placed by player B, at the same distance away from the boundary of the circle (i.e mimic his placement on the opposite side of the table). Refer figure for better understanding. If player A has space to place a coin, so will player B. Player B will run out of place before player A.