Unlike monopoly money supply is not fixed thanks to presses. House money is not locked in as it can be accessed by LOC and other forms of colatteral lending. Not all value is money even though value is expressed in dollar terms. Money printed in other states impacts this. Inflation in a monopoly game? No it is not factored in and that should act as a clue that it is an unworkable analogy.
Hope you wrote this with tongue in cheek as it is very very simplistic.
