Puzzles/Two-player games/Picking game

There is a heap of n matches. 2 players take turns to pick 1 or 2 matches. The winner is the person who picks the last match.

• Who wins for 5 matches (if no player misses a chance to win or draw)?
• Is there a general strategy for any number of matches (to force a win or a tie for either side)?
• What is the strategy if existing?

Solution