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Commodity money with frequent search

Author

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  • Ezra Oberfield
  • Nicholas Trachter

Abstract

A prominent feature of the Kiyotaki and Wright (1989) model of commodity money is the multiplicity of dynamic equilibria. We show that the frequency of search is strongly related to the extent of multiplicity. To isolate the role of frequency of search in generating multiplicity, we (i) vary the frequency of search without changing the frequency of finding a trading partner and (ii) focus on symmetric dynamic equilibria, a class for which we can sharply characterize several features of the set of equilibria. For any finite frequency of search this class retains much of the multiplicity. For each frequency we characterize the full set of equilibrium payoffs, strategies played and dynamic paths of the state variables. Indexed by any of these features, the set of equilibria converges uniformly to a unique equilibrium in the continuous search limit. We conclude that when search is frequent, the seemingly exotic dynamics are irrelevant.

Suggested Citation

  • Ezra Oberfield & Nicholas Trachter, 2010. "Commodity money with frequent search," Working Paper Series WP-2010-22, Federal Reserve Bank of Chicago.
    • Handle: RePEc:fip:fedhwp:wp-2010-22
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    3. Bonetto, Federico & Iacopetta, Maurizio, 2019. "A dynamic analysis of nash equilibria in search models with fiat money," Journal of Mathematical Economics, Elsevier, vol. 84(C), pages 207-224.
    4. Burdett, Kenneth & Trejos, Alberto & Wright, Randall, 2017. "A new suggestion for simplifying the theory of money," Journal of Economic Theory, Elsevier, vol. 172(C), pages 423-450.
    5. Maurizio Iacopetta, 2019. "The emergence of money: a dynamic analysis," SciencePo Working papers Main hal-03403573, HAL.
    6. Federico Bonetto & Maurizio Iacopetta, 2019. "A dynamic analysis of nash equilibria in search models with fiat money," SciencePo Working papers Main hal-03403584, HAL.
    7. repec:hal:spmain:info:hdl:2441/2bedunljk79gt86fbf15pvnnc5 is not listed on IDEAS
    8. Michael Choi & Guillaume Rocheteau, 2021. "Money Mining and Price Dynamics," American Economic Journal: Macroeconomics, American Economic Association, vol. 13(4), pages 246-294, October.
    9. Maurizio Iacopetta & Raoul Minetti, 2019. "Asset Dynamics, Liquidity, And Inequality In Decentralized Markets," Economic Inquiry, Western Economic Association International, vol. 57(1), pages 537-551, January.
    10. Iacopetta, Maurizio, 2019. "The Emergence Of Money: A Dynamic Analysis," Macroeconomic Dynamics, Cambridge University Press, vol. 23(7), pages 2573-2596, October.
    11. repec:hal:spmain:info:hdl:2441/48v4b2d60n9bipfp9hcmbgtucs is not listed on IDEAS
    12. Kindler, A. & Bourgeois-Gironde, S. & Lefebvre, G. & Solomon, S., 2017. "New leads in speculative behavior," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 467(C), pages 365-379.
    13. Federico Bonetto & Maurizio Iacopetta, 2019. "A Dynamic Analysis of Nash Equilibria in Search Models with Fiat Money ," Post-Print halshs-03515530, HAL.
    14. Maurizio Iacopetta, 2019. "The emergence of money: a dynamic analysis," Post-Print hal-03403573, HAL.
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    More about this item

    Keywords

    Money; Markov processes;

    JEL classification:

    • E00 - Macroeconomics and Monetary Economics - - General - - - General
    • E40 - Macroeconomics and Monetary Economics - - Money and Interest Rates - - - General
    • D83 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Search; Learning; Information and Knowledge; Communication; Belief; Unawareness
    • C73 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Stochastic and Dynamic Games; Evolutionary Games

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