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Russian Roulette

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Ergodicity

In Russian Roulette, the outcome you get by playing it a few times is different from the average outcome of a few people playing it once.

Ergodicity

Feel free to play Russian Roulette by pointing the gun at your skull, but do not play it by pointing the gun at the ecosystem.

Ergodicity

The rules and odds of the Russian Roulette do not change over time, and yet your payoff does. Due to irreversibility, losses absorb future gains.

Ergodicity

For example, Russian Roulette is non-ergodic because the lifetime outcome differs from the population outcome. If you decide to keep playing it because you fail to grasp its non-ergodicity and mistakenly believe that your lifetime outcome equals your population one, you will end up dead. Ergodicity

Russian Roulette