The Distribution of Money and Prices in an Equilibrium with Lotteries

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Abstract
We construct a tractable model of divisible money and equilibrium heterogeneity in money balances and prices. We do so by considering randomized monetary trades in a standard search-theoretic model of money where agents can hold multiple units of indivisible 'tokens'. By studying a simple trading pattern, we can generate monetary distributions that match those observed in numerically simulated economies with fully divisible money and price heterogeneity.

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