Oh, ok. Good luck with that. Trying to force the government or really the central banks, e.g. the Fed, into certain monetary policies like trying make their fiat currencies approach Nash's ideal is ok with me. Not sure how that will go but please go right ahead and try.
How close (approaching asymptotically or otherwise) must a currency be to ideal to be called ideal? Once it is deemed ideal then what? If it ever moves again then it wasn't actually ideal, was it?
The reason I am still in this thread is that the theory is that we don't have to force the governments/central banks to do anything. The theory is that market forces will do the forcing for us. I like that because it does not rely on us getting them to do anything - that is never going to happen, ever.
So "ideal money" is money that perfectly accounts for the economy and maintains this accounting without gaining or losing value relative to the economy (no inflation or deflation). Perfection here is not possible.
Bitcoin will always be gaining in value but at a predictable enough rate due to its design.
This behavior, through market forces, will force all the inflationary fiat money to asymptotically approach "ideal money" while always being inflationary with an inflation rate approaching but never quite becoming 0%. All fiat currencies will have a choice to either become honest money or die at the hands of the existence of honest money.
We end up with one money for saving with a low transaction rate and one money for day to day transactions with a high transaction rate - is how I understand it.