Most of that sounds like what each and every responsible "civilisation" in the
Galactic Milieu that has a currency of its own is trying to do with its own currency.
Also a lot of it seems like something that can be mostly-accomplished by as simple a mechanism as always putting back onto the buy-side all the proceeds of the sell-side of a trading pair and the proceeds of the buy-side being put back into the sell side, since due to the units (tokens, coins, shares or whatever one labels them) being re-sold over and over and over again the total buy-side will probably have grow higher and higher in price over time simply in order to not be trying to buy more units than were minted.
If bitcoin miners had from the outset always put back onto the buy-side of some BTC/whatever market somewhere, even minus a small re-stocking fee, their entire proceeds from bitcoin sales bitcoin probably would already have a rock-solid floor that constantly rises even though even rock does at some venues sometimes crumble or wear away a little or even crack or crumble.
It actually seems likely that all the other components of your system ought need only to constantly strengthen the buy-side of such a core unit to accomplish your goal.
In fact it even seems feasible that simply using bitcoin itself as that core unit could work, everything else simply constantly buying bitcoin anywhere it can as cheaply as it can using anything anyone is willing to sell bitcoin for...
-MarkM-