Ergodicity in Trading

Ergodicity is a property of a system where the time average of a single path equals the ensemble average of all possible paths. In finance, an ergodic process means that a trader can expect their long-term outcome to converge toward the statistical expectation of the strategy.

Non-ergodic systems, which are common in highly leveraged crypto trading, involve ruin risks where a single catastrophic event can end the trading career regardless of the long-term average. Understanding ergodicity helps traders avoid strategies that have a positive expected value but a high probability of eventual bankruptcy.

It forces a focus on survival and position sizing to ensure the trader remains in the game. It is a fundamental principle for long-term wealth preservation.