IDEAS home Printed from https://ideas.repec.org/a/eee/dyncon/v142y2022ics0165188921000877.html
   My bibliography  Save this article

Money mining and price dynamics: The case of divisible currencies

Author

Listed:
  • Choi, Michael
  • Rocheteau, Guillaume

Abstract

We develop a random-matching model to study the price dynamics of divisible monies produced privately through mining. The equilibrium set is composed of a unique equilibrium where the value of money increases until it reaches a steady state and, if money has no intrinsic value, a continuum of perfect-foresight equilibria where the price of money inflates and bursts over time. Early on private money is held for a speculative motive and it acquires a transactional role when money supply becomes sufficiently abundant. We study different mining and matching technologies, fiat and commodity monies, single and competing currencies.

Suggested Citation

  • Choi, Michael & Rocheteau, Guillaume, 2022. "Money mining and price dynamics: The case of divisible currencies," Journal of Economic Dynamics and Control, Elsevier, vol. 142(C).
    • Handle: RePEc:eee:dyncon:v:142:y:2022:i:c:s0165188921000877
    DOI: 10.1016/j.jedc.2021.104152
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0165188921000877
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.jedc.2021.104152?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Schilling, Linda & Uhlig, Harald, 2019. "Some simple bitcoin economics," Journal of Monetary Economics, Elsevier, vol. 106(C), pages 16-26.
    2. Oberfield, Ezra & Trachter, Nicholas, 2012. "Commodity money with frequent search," Journal of Economic Theory, Elsevier, vol. 147(6), pages 2332-2356.
    3. Aiyagari, S. Rao & Wallace, Neil, 1997. "Government Transaction Policy, the Medium of Exchange, and Welfare," Journal of Economic Theory, Elsevier, vol. 74(1), pages 1-18, May.
    4. Guillaume Rocheteau & Randall Wright, 2005. "Money in Search Equilibrium, in Competitive Equilibrium, and in Competitive Search Equilibrium," Econometrica, Econometric Society, vol. 73(1), pages 175-202, January.
    5. Fernández-Villaverde, Jesús & Sanches, Daniel, 2019. "Can currency competition work?," Journal of Monetary Economics, Elsevier, vol. 106(C), pages 1-15.
    6. Berentsen, Aleksander, 2006. "On the private provision of fiat currency," European Economic Review, Elsevier, vol. 50(7), pages 1683-1698, October.
    7. Rocheteau, Guillaume & Weill, Pierre-Olivier & Wong, Russell, 2018. "A tractable model of monetary exchange with ex-post heterogeneity," Theoretical Economics, Econometric Society, vol. 13(3), September.
    8. Ricardo Lagos & Randall Wright, 2005. "A Unified Framework for Monetary Theory and Policy Analysis," Journal of Political Economy, University of Chicago Press, vol. 113(3), pages 463-484, June.
    9. Darrell Duffie, 2012. "Over-The-Counter Markets," Introductory Chapters, in: Dark Markets: Asset Pricing and Information Transmission in Over-the-Counter Markets, Princeton University Press.
    10. Lagos, Ricardo & Rocheteau, Guillaume, 2008. "Money and capital as competing media of exchange," Journal of Economic Theory, Elsevier, vol. 142(1), pages 247-258, September.
    11. Rocheteau, Guillaume & Rodriguez-Lopez, Antonio, 2014. "Liquidity provision, interest rates, and unemployment," Journal of Monetary Economics, Elsevier, vol. 65(C), pages 80-101.
    12. Lagos, Ricardo & Wright, Randall, 2003. "Dynamics, cycles, and sunspot equilibria in 'genuinely dynamic, fundamentally disaggregative' models of money," Journal of Economic Theory, Elsevier, vol. 109(2), pages 156-171, April.
    13. Branch, William A. & Petrosky-Nadeau, Nicolas & Rocheteau, Guillaume, 2016. "Financial frictions, the housing market, and unemployment," Journal of Economic Theory, Elsevier, vol. 164(C), pages 101-135.
    14. John Kareken & Neil Wallace, 1981. "On the Indeterminacy of Equilibrium Exchange Rates," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 96(2), pages 207-222.
    15. Nosal, Ed & Rocheteau, Guillaume, 2013. "Pairwise trade, asset prices, and monetary policy," Journal of Economic Dynamics and Control, Elsevier, vol. 37(1), pages 1-17.
    16. Athanasios Geromichalos & Juan M Licari & Jose Suarez-Lledo, 2007. "Monetary Policy and Asset Prices," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 10(4), pages 761-779, October.
    17. Lagos, Ricardo, 2010. "Asset prices and liquidity in an exchange economy," Journal of Monetary Economics, Elsevier, vol. 57(8), pages 913-930, November.
    18. Ricardo Lagos & Guillaume Rocheteau & Randall Wright, 2017. "Liquidity: A New Monetarist Perspective," Journal of Economic Literature, American Economic Association, vol. 55(2), pages 371-440, June.
    19. Rocheteau, Guillaume & Wright, Randall, 2013. "Liquidity and asset-market dynamics," Journal of Monetary Economics, Elsevier, vol. 60(2), pages 275-294.
    20. Pedro Gomis-Porqueras & Timothy Kam & Christopher Waller, 2017. "Nominal Exchange Rate Determinacy under the Threat of Currency Counterfeiting," American Economic Journal: Macroeconomics, American Economic Association, vol. 9(2), pages 256-273, April.
    21. Zhu, Tao & Wallace, Neil, 2007. "Pairwise trade and coexistence of money and higher-return assets," Journal of Economic Theory, Elsevier, vol. 133(1), pages 524-535, March.
    22. Shi Shougong, 1995. "Money and Prices: A Model of Search and Bargaining," Journal of Economic Theory, Elsevier, vol. 67(2), pages 467-496, December.
    23. Benjamin Lester & Andrew Postlewaite & Randall Wright, 2012. "Information, Liquidity, Asset Prices, and Monetary Policy," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 79(3), pages 1209-1238.
    24. Li, Yiting & Wright, Randall, 1998. "Government Transaction Policy, Media of Exchange, and Prices," Journal of Economic Theory, Elsevier, vol. 81(2), pages 290-313, August.
    25. Rocheteau, Guillaume & Wright, Randall & Xiaolin Xiao, Sylvia, 2018. "Open market operations," Journal of Monetary Economics, Elsevier, vol. 98(C), pages 114-128.
    26. Sébastien Lotz & Françoise Vasselin, 2019. "A New Monetarist Model Of Fiat And E‐Money," Economic Inquiry, Western Economic Association International, vol. 57(1), pages 498-514, January.
    27. Zhang, Cathy, 2014. "An information-based theory of international currency," Journal of International Economics, Elsevier, vol. 93(2), pages 286-301.
    28. Trejos, Alberto & Wright, Randall, 1995. "Search, Bargaining, Money, and Prices," Journal of Political Economy, University of Chicago Press, vol. 103(1), pages 118-141, February.
    29. Linda M. Schilling & Harald Uhlig, 2019. "Currency Substitution under Transaction Costs," AEA Papers and Proceedings, American Economic Association, vol. 109, pages 83-87, May.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Jesús Fernández-Villaverde & Daniel R. Sanches, 2024. "Price-Level Determination Under the Gold Standard," Working Papers 24-06, Federal Reserve Bank of Philadelphia.
    2. Rocheteau, Guillaume & Wang, Lu, 2023. "Endogenous liquidity and volatility," Journal of Economic Theory, Elsevier, vol. 210(C).

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Lukas Altermatt & Kohei Iwasaki & Randall Wright, 2023. "General Equilibrium with Multiple Liquid Assets," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 51, pages 267-291, December.
    2. Athanasios Geromichalos & Lucas Herrenbrueck & Sukjoon Lee, 2023. "The Strategic Determination of the Supply of Liquid Assets," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 49, pages 1-36, July.
    3. Rocheteau, Guillaume & Rodriguez-Lopez, Antonio, 2014. "Liquidity provision, interest rates, and unemployment," Journal of Monetary Economics, Elsevier, vol. 65(C), pages 80-101.
    4. Guillaume Rocheteau & Lucie Lebeau & Tai-Wei Hu & Younghwan In, 2018. "Gradual Bargaining in Decentralized Asset Markets," Working Papers 181904, University of California-Irvine, Department of Economics.
    5. Zhixiu Yu, 2023. "On the Coexistence of Cryptocurrency and Fiat Money," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 49, pages 147-180, July.
    6. Williamson, Stephen & Wright, Randall, 2010. "New Monetarist Economics: Models," Handbook of Monetary Economics, in: Benjamin M. Friedman & Michael Woodford (ed.), Handbook of Monetary Economics, edition 1, volume 3, chapter 2, pages 25-96, Elsevier.
    7. Guillaume Rocheteau & Tai-Wei Hu & Lucie Lebeau & Younghwan In, 2021. "Gradual Bargaining in Decentralized Asset Markets," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 42, pages 72-109, October.
    8. Athanasios Geromichalos & Lucas Herrenbrueck & Sukjoon Lee, 2023. "The Strategic Determination of the Supply of Liquid Assets," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 49, pages 1-36, July.
    9. Stephen D. Williamson & Randall Wright, 2010. "New monetarist economics: methods," Review, Federal Reserve Bank of St. Louis, vol. 92(May), pages 265-302.
    10. Rocheteau, Guillaume & Wang, Lu, 2023. "Endogenous liquidity and volatility," Journal of Economic Theory, Elsevier, vol. 210(C).
    11. Altermatt, Lukas & Iwasaki, Kohei & Wright, Randall, 2021. "Asset pricing in monetary economies," Journal of International Money and Finance, Elsevier, vol. 115(C).
    12. Huber, Samuel & Kim, Jaehong, 2017. "On the optimal quantity of liquid bonds," Journal of Economic Dynamics and Control, Elsevier, vol. 79(C), pages 184-200.
    13. Branch, William A., 2016. "Imperfect knowledge, liquidity and bubbles," Journal of Economic Dynamics and Control, Elsevier, vol. 62(C), pages 17-42.
    14. Athanasios Geromichalos & Lucas Herrenbrueck, 2022. "The Liquidity-Augmented Model of Macroeconomic Aggregates: A New Monetarist DSGE Approach," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 45, pages 134-167, July.
    15. Jesús Fernández-Villaverde & Daniel R. Sanches, 2024. "Price-Level Determination Under the Gold Standard," Working Papers 24-06, Federal Reserve Bank of Philadelphia.
    16. Seungduck Lee & Kuk Mo Jung, 2019. "A Liquidity-Based Resolution of the Uncovered Interest Parity Puzzle," Working Papers 1902, Nam Duck-Woo Economic Research Institute, Sogang University (Former Research Institute for Market Economy).
    17. Athanasios Geromichalos & Kuk Mo Jung, 2019. "Monetary policy and efficiency in over-the-counter financial trade," Canadian Journal of Economics, Canadian Economics Association, vol. 52(4), pages 1699-1754, November.
    18. Waknis, Parag, 2017. "Competitive Supply of Money in a New Monetarist Model," MPRA Paper 75401, University Library of Munich, Germany.
    19. Tai-Wei Hu & Guillaume Rocheteau & Lucie Lebeau & Younghwan In, 2018. "Gradual Bargaining in Decentralized Asset Markets," 2018 Meeting Papers 606, Society for Economic Dynamics.
    20. Han, Han & Julien, Benoît & Petursdottir, Asgerdur & Wang, Liang, 2019. "Asset liquidity and indivisibility," European Economic Review, Elsevier, vol. 119(C), pages 236-250.

    More about this item

    Keywords

    Money; Search; Private and competing monies; Mining; Divisible;
    All these keywords.

    JEL classification:

    • E40 - Macroeconomics and Monetary Economics - - Money and Interest Rates - - - General
    • E50 - Macroeconomics and Monetary Economics - - Monetary Policy, Central Banking, and the Supply of Money and Credit - - - General

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:dyncon:v:142:y:2022:i:c:s0165188921000877. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/locate/jedc .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.