As we all know in standard tic-tac-toe the game can't be won if both players play optimally. So:
- Is Quarto a game that will end in a draw if both players play optimally?
- If yes, what are the most common drawing strategies?
- If no, are there one or more strategies that guarantee a player's win, as in games like Nim for example?
I'm a math teacher creating a course on math games and mathemagic tricks, so I'm looking for games that have optimal strategies that are explained with mathematical arguments, and stuff like that. I'm open to suggestions, but will most likely post a separate question when the project gets more concrete.