In an attempt to clean up an unruly literature, we specify the necessary and sufficient conditions for household optimality in a model where money is the only …financial asset and provide the relevant proofs. We use our results to analyse when de‡flationary bubbles can and cannot exist. Our...

Our model is a variant of the cash-in-advance model. Goods must be purchased in the seller’s currency, but currency may be traded before shopping at a cost. This cost is a measure of substitutability. The model is applied to seignorage taxation. We show that optimal money growth is positive...

In a dynamic optimising model with costly tax collection, a tax cut by one nation creates positive externalities for the rest of the world if initial public debt stocks are positive. By reducing tax collection costs, current tax cuts boost the resources available for current private consumption,...

We analyse deflationary bubbles in a model where money is the only financial asset. We show that such bubbles are consistent with the household's transversality condition if and only if the nominal money stock is falling. Our results are in sharp contrast to those in several prominent...