I would say it has to be logarithmic instead... with more reasons to sinc the token via other methods.
Otherwise, lots and lots will still use the alt accounts to take out 50% forever.
I am still learning the mechanics as you know I started playing this late, so lets hope I am wrong.
Either way, great complexity instrumentation with all the mechanics. Took me a while to get into the "ideas" behind some of the mechanics, but I confess that it kind of gave me more "interest" to continue discovering.
Maybe a paced version of the game would not be bad for beginners, where some forced way of starting is mandatory initially, where things get unblocked the more you progress. Allowing the player to kind of go through a tutorial. This will also block out some "alts" joy at the same time.
Just a suggestion.