Do Frictionless Models of Money and the Price Level Make Sense?
No. As well-specified Walrasian general equilibrium systems, frictionless models are isomorphic with the Arrow-Debreu (A-D) world. It is well known that the A-D world has no role for money, credit or banks. Grafting a role for money onto a frictionless model by appending a quantity equation or cash-in-advance constraint makes the error of converting money into a friction. Furthermore, as frictionless models have no use for money or nominal values it makes no sense to use them to adjudicate between theories of the price level or to claim that they provide the theoretical foundations for monetary policy.
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