I have a question about the stability of money.

I believe that using a basked or peg to any other currency has issues. Yes its the best we have, however it can always be gamed or manipulated.

Could we not find an intrinsic way to establish the stability of value by measuring how much money people have on average in combination with the velocity of money (how much people transact on average over a timeframe).

I wonder if a blockchain that would issue or destroy currency (i.e. in the way you describe) could not create ideal money as Nash outlined. If i understand Nash correctly ideal money is simply stable currency as its most important attribute followed by all the other important aspect (fungibility, transferability etc)