Is there a well known strategy game where AI doesn't have better chances to win than a human? Is there possibly, math wise, that such games exist? I kind of dislike not having a chance when playing against bots.
I would say any game that includes a lot of uncertainty, subjectivity and random chance would mean that an AI would not usually have an edge over a human. Maybe games like diplomacy, magic the gathering, pandemic, Gloomhaven, maybe poker (?), backgammon (?) etc. On a sidenote, I think it’s interesting that we’re a point where it’s starting to get hard to come up with games that humans can beat AI at.
There is no reason why computers wouldn't eventually beat a human in the others, if someone writes a narrow AI for them. Consider for example, AlphaStar for StarCraft.