We haven't proven whether chess, in principle, always has a guaranteed winning or drawing strategy for one side from the starting position.
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Mathematics & Logic
Despite chess being fully deterministic with no hidden information, its complexity is so vast that no one has proven who truly holds the advantage under perfect play. Solving smaller games has offered clues, but full chess remains unresolved.
Team Humans Club. (2026). Problem WS01238: We haven't proven whether chess, in principle, always has a guaranteed winning or drawing strategy for one side from the starting position.. World Solve. Retrieved 20 Jul 2026, from https://worldsolve.org/index.php?id=1238