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Assume a fixed number of rounds: <math>t={1,2}\,</math>
Assume a fixed total investment: <math>\sum_t x_t = 1\,</math>
Assume a functional form for <math>f(x_t): f(x_t) = ln (x_t)^\frac{1}{2}\,</math>
Again <math> V(0)=0 \,</math>.
:<math> \therefore V_2 = ln(x_1) ^\frac{1}{2} + ln(x_2)^\frac{1}{2}\,</math>
