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No. Suppose you have a capital base, $C$, and zero sum game, $G$, where for a unit play you can either win $x$ or lose $y$, such that $E[G] = p_x x + p_y y = 0$. You devise any kind of strategy to play any number of units, $\alpha_i > 0$ for each successive game after a win. Now there always exists a chance that you will lose your entire capital base, ...


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