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Someone posted this poll on a well-known platform.
I first interpreted it as "how much would you like the government to give everyone", which may not have been the author's intention, but is a more interesting question, because the interpretation that the money would only go to you has a trivial solution.
Under the most realistic assumption that the dollars would be newly printed and the selfish goal of extracting as much value as possible, the optimal solution depends (at least) on the value of your dollar holdings and (in an inverse way) the value of your assets, i.e. everything other than the dollar that can carry a monetary premium.
If you have zero dollars (like me) and your wealth is in, ahem, something else, you want the last, most 'generous' option, because under the newly diluted supply the distribution would be the most equal, so those who have no dollars would benefit the most, at the cost of the dollar-rich. If you're among the dollar-richest and have no assets, you want to minimize the dilution, because you have the most to lose from it.
The value of your assets matters, because the greater the increase in USD supply, the more your assets stand to gain by absorbing the monetary premium leaving the dollar, whose value consequently trends towards its utility value (which of course is subjective, but may come from its utility as kindling for the fireplace, straws for the insufflation of substances, material for daily anal hygiene maintenance etc.).
Another variable to consider here is the projected change in your cash flow, especially if you have no capital at all. Those who have no capital rely on their wages and tend to be affected negatively by inflation disproportionately. However, the benefits of the most equalizing, most generous option would likely overpower that if they turned those helicopter dollars into capital (rather than consume them). Which some (but likely not all) would.
The BTC peak of 2021 was fueled by Covid stimulus checks to some extent, and many people quit their jobs and we seem to have shifted from 9-5s to more of a gig economy somewhat. So if bitcoinization is driven by the monetary insanity of fiat, the latter culminating in CBDC UBI airdrops, maybe the distribution of wealth in the hyperbitcoinized future won't be that unequal after all.
@grayruby proposed a similar thought experiment for one of the Meta Econ Takeover posts.
That discussion was about what would happen after an enormous air drop.
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Your hypothesis is very interesting, thanks for sharing.