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A Monetary Theory With Non-degenerate Distributions

Author

Listed:
  • Guido Menzio

    (University of Pennsylvania)

  • Amy Hongfei Sun

  • Shouyong Shi

    (Queen's University)

Abstract

We construct and analyze a tractable search model of money with a non-degenerate distribution of money holdings. Analytical tractability comes from modeling decentralized exchange as directed search, which makes the monetary steady state block recursive. By adapting lattice-theoretic techniques, we characterize individualsʼ policy and value functions, and show that these functions satisfy the standard conditions of optimization. We prove that a unique monetary steady state exists and provide conditions under which the steady-state distribution of buyers over money balances is non-degenerate. Moreover, we analyze the properties of this distribution.
(This abstract was borrowed from another version of this item.)

Suggested Citation

  • Guido Menzio & Amy Hongfei Sun & Shouyong Shi, 2011. "A Monetary Theory With Non-degenerate Distributions," Working Paper 1264, Economics Department, Queen's University.
  • Handle: RePEc:qed:wpaper:1264
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    File URL: https://www.econ.queensu.ca/sites/econ.queensu.ca/files/qed_wp_1264.pdf
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    JEL classification:

    • E00 - Macroeconomics and Monetary Economics - - General - - - General
    • E4 - Macroeconomics and Monetary Economics - - Money and Interest Rates
    • C6 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling

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