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(2 edits)

Yes the return is semi logarithmic and asymptotically approaches 1 million, which can be never reached.There are bots worth around 2.4 Bil (I never could gat one that good...), i did not try with those whether it hist 1 mil flat.
It might as there is also a +/- 5% rando fluctuation of returns and if you hit a +5% day, yeah, it could.

I think more video games should use bounding like that.  It would prevent runaway situations with things like magic systems.  Its a great approach.

I found that a simple linear system disavantages early players that struggle with their first bot.
So cheap bots get a guaranteed lowest return and from there it is attenuated logarithmically to the top end...