The gambler's fallacy and the hot hand in the same trader
Posted: Fri Oct 30, 2026 2:28 pm
After four losses in a row, a win feels due. After four wins in a row, the streak feels unstoppable. Both thoughts are mistakes, and they pull in opposite directions.
If trades are independent, the probability of the next win is unaffected by recent outcomes. A coin that landed on heads four times is still 50-50.
The gambler's fallacy leads to bigger bets after losses, expecting a reversal. The hot hand fallacy leads to bigger bets after wins, expecting continuation.
In trading, outcomes are not perfectly independent, since market regimes persist. A strategy that suits the current regime will win more for a while, and one that does not will lose more. That is a different story from luck owing something.
Fixed risk per trade, regardless of recent outcomes, sidesteps both fallacies. Reviewing performance by regime, not by streak, gives better information.
How has position sizing behaved after streaks in the records here?
If trades are independent, the probability of the next win is unaffected by recent outcomes. A coin that landed on heads four times is still 50-50.
The gambler's fallacy leads to bigger bets after losses, expecting a reversal. The hot hand fallacy leads to bigger bets after wins, expecting continuation.
In trading, outcomes are not perfectly independent, since market regimes persist. A strategy that suits the current regime will win more for a while, and one that does not will lose more. That is a different story from luck owing something.
Fixed risk per trade, regardless of recent outcomes, sidesteps both fallacies. Reviewing performance by regime, not by streak, gives better information.
How has position sizing behaved after streaks in the records here?