A formal write-up of the simple proof (1995) of the existence of calibrated forecasts by the minimax theorem, which moreover shows that $N^3$ periods suffice to guarantee a calibration error of at most $1/N$.

翻译：正式写下简单证据(1995年),证明小型数学理论有经校准的预测,此外,该证据还表明,3美元期限足以保证最多为1美元/美元校准错误。