“While no rigorous proof of an optimal strategy has been achieved, Robbins has proposed the principal of "staying on a winner" and has shown it to be uniformly better than a strategy of random selection.”

Source: The Theory of Gambling and Statistical Logic (Revised Edition) 1977, Chapter Four, Coins, Wheels, And Oddments, p. 98

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Richard Arnold Epstein 27
American physicist 1927

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