So you (or Nash) is positing a value unit that stays exactly constant with the economy? This seems impossible to me, as the surrounding economy is ever changing. second by second even.
Also, it is very different from the other constants you mention such as watts or satoshi, as those are things that remain immutable regardless of surrounding environment.
NOW because of bitcoin's gold like properties as the new inflation hedge in town, that is FAIRLY stable in relation to a Nash, governments will have to tend to the QUALITY of their money, where quality refers now to stability in relation to a Nash. So ultimate evolution of this game, is an tendency towards a CEILING of idealness which is a perfect relation to a Nash.
Bitcoin will force our central banks to print ideal money. And we will lock in a stable unit of value, a Nash.
This is needed for optimal efficiency of our global economy.