Doubling up early MORE than doubles the ROI of a winning player

[AtticusFinch]

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Maybe there is some flaw here in my reasoning, and maybe expected winnings is really the important thing, not ROI. I’ll leave it to others to tear apart.

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The first flaw I can see is that everyone participates and is all-in on every flip. Your ROI has improved not just from your gain in chips, but from the elimination of half the field as well. (Which just adds to the notion that there are other factors in play besides stack size).

That being said, I believe there are cases where a double more than doubles a good player's $EV in a tourney, but it depends on your relative stack size and skill level. I'm still working on math to support this.