If the growth rate is linear, but that only really seems to be the case with people who work for a living. For the kind of activities that turn millionaires into billionaires, wealth fuels a feedback loop—it takes money to take money.
In any case, this experiment's outcome can be predicted based on the prevalence of the "one-good-idea" super-rich. There are plenty of examples of "super successful people" who absolutely do not "maximize what they have". In spite of all their advantages, every subsequent venture is a failure—see any "start with two million dollars" joke.
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If the growth rate is linear, but that only really seems to be the case with people who work for a living. For the kind of activities that turn millionaires into billionaires, wealth fuels a feedback loop—it takes money to take money.
In any case, this experiment's outcome can be predicted based on the prevalence of the "one-good-idea" super-rich. There are plenty of examples of "super successful people" who absolutely do not "maximize what they have". In spite of all their advantages, every subsequent venture is a failure—see any "start with two million dollars" joke.