Some time ago, I asked myself if infinite gomoku is a first player win, which seems not proven yet, and while searching for an answer I often heard the term "strategy stealing game".
I just thought it means that the second player will always lose if both players play correctly, or always player one in some rare cases, but now I checked Wikipedia and it seems like that only means that player 2 doesn't have a guaranteed winning strategy in such a game...
And the more I think about it, the less sense it makes for me. Shoudn't it be good if the second player has no way to win for sure? I mean if he had, it would be a second player win game, just as bad as a first player win game.
For example in tic-tac-toe. Player 1 can't win if player 2 doesn't make any mistake, player 2 can't win if player 1 doesn't make any mistake. No one has a guaranteed winning strategy. Is it, or is it not a strategy stealing argument? Shouldn't it be just like that?