This paper investigates the link between welfare and the taxation of money in the context of a general equilibrium search model where decentralized trading motivates the use of fiat money. Since buyers with money must invest effort or search intensity to contact sellers with goods, a natural trading externality arises. Given a sufficiently productive economy, search efforts will be too low relative to social efficiency. This provides a welfare improving role for policies which tax money balances. The nature of this role is explored and its implications for optimal monetary policy discussed.
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Victor E. Li (1995) studied this question.