Getting rich quick with the Axiom of Choice

This note proposes a new get-rich-quick scheme that involves trading in a stock with a continuous but not constant price path. The existence of such a scheme, whose practical value is tempered by its use of the Axiom of Choice, shows that imposing regularity conditions (such as measurability) is essential even in the foundations of game-theoretic probability. . . . these results do not give a practical means of predicting the future, just as the time dilation one would experience standing near the event horizon of a black hole does not give a practical time machine. Christopher S. Hardin and Alan D. Taylor