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Timeline for Flipping coins on a budget

Current License: CC BY-SA 3.0

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S Oct 28, 2013 at 20:08 history suggested CommunityBot CC BY-SA 3.0
align ifs in piecewise definitions
Oct 28, 2013 at 20:07 review Suggested edits
S Oct 28, 2013 at 20:08
Sep 26, 2012 at 15:05 comment added Douglas Zare To prove that this is optimal for $n=\infty$ it suffices to show that for every $x$, there is no choice of an amount to spend which gives you a higher average value of $f$ on the next time.
Sep 18, 2012 at 15:35 comment added Timothy Chow Thanks for the response. Your strategy is one that one of my colleagues also came up with. Maybe I should have mentioned this earlier, but anyway, like you, we were not able to prove rigorously that it was optimal.
Sep 18, 2012 at 4:31 history answered Julian Rosen CC BY-SA 3.0