5899概率困难数值题long
Betting Kelly on the Wrong Probability
题目
An even-money coin truly wins with probability , but you overestimate it as and bet the Kelly fraction implied by your estimate. What is your actual long-run expected log-growth rate per round? Compare it to the growth you would have earned betting the correct Kelly fraction, and state what the sign of your actual growth implies.
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你的答案
actual_growth_rate
correct_kelly_growth
actual_growth_sign