Earlier quoted context omitted.
This is a misunderstanding of zero-sums games. Zero-sums game are actually proven to have a winning strategy. Chess is a zero sum game.
Chess is not believed to be a forced win for either player though.
But all of those qualifiers I mentioned are needed, and that's a lot of qualifiers. If any of them are no longer true then there is not guaranteed to be a winning strategy.
In chess, it's possible to end the game in a draw, so Zermelo's theorem does not apply to it and OPs claim is wrong about chess.
I'm fairly certain one can trivially disqualify one of those criteria when it comes to financial markets as well.