Nothing Special   »   [go: up one dir, main page]

IDEAS home Printed from https://ideas.repec.org/p/arx/papers/1805.04733.html
   My bibliography  Save this paper

A Dynamic Analysis of Nash Equilibria in Search Models with Fiat Money

Author

Listed:
  • Federico Bonetto
  • Maurizio Iacopetta
Abstract
We study the rise in the acceptability fiat money in a Kiyotaki-Wright economy by developing a method that can determine dynamic Nash equilibria for a class of search models with genuine heterogenous agents. We also address open issues regarding the stability properties of pure strategies equilibria and the presence of multiple equilibria. Experiments illustrate the liquidity conditions that favor the transition from partial to full acceptance of fiat money, and the effects of inflationary shocks on production, liquidity, and trade.

Suggested Citation

  • Federico Bonetto & Maurizio Iacopetta, 2018. "A Dynamic Analysis of Nash Equilibria in Search Models with Fiat Money," Papers 1805.04733, arXiv.org.
  • Handle: RePEc:arx:papers:1805.04733
    as

    Download full text from publisher

    File URL: http://arxiv.org/pdf/1805.04733
    File Function: Latest version
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Kehoe, Timothy J & Kiyotaki, Nobuhiro & Wright, Randall, 1993. "More on Money as a Medium of Exchange," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 3(2), pages 297-314, April.
    2. Oberfield, Ezra & Trachter, Nicholas, 2012. "Commodity money with frequent search," Journal of Economic Theory, Elsevier, vol. 147(6), pages 2332-2356.
    3. Jack Ochs & John Duffy, 1999. "Emergence of Money as a Medium of Exchange: An Experimental Study," American Economic Review, American Economic Association, vol. 89(4), pages 847-877, September.
    4. Brunner, Martin & Strulik, Holger, 2002. "Solution of perfect foresight saddlepoint problems: a simple method and applications," Journal of Economic Dynamics and Control, Elsevier, vol. 26(5), pages 737-753, May.
    5. Juan-Manuel Renero, 1998. "Unstable and stable steady-states in the Kiyotaki-Wright model," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 11(2), pages 275-294.
    6. William N. Goetzmann, 2016. "Money Changes Everything: How Finance Made Civilization Possible," Economics Books, Princeton University Press, edition 1, number 10662.
    7. Andrei Shevchenko & Randall Wright, 2006. "A simple search model of money with heterogeneous agents and partial acceptability," Studies in Economic Theory, in: Charalambos D. Aliprantis & Nicholas C. Yannelis & Gabriele Camera (ed.), Recent Developments on Money and Finance, pages 223-232, Springer.
    8. Li, Victor E., 1994. "Inventory accumulation in a search-based monetary economy," Journal of Monetary Economics, Elsevier, vol. 34(3), pages 511-536, December.
    9. Maurizio Iacopetta, 2019. "The emergence of money: a dynamic analysis," Post-Print hal-03403573, HAL.
    10. Ricardo Lagos & Guillaume Rocheteau, 2009. "Liquidity in Asset Markets With Search Frictions," Econometrica, Econometric Society, vol. 77(2), pages 403-426, March.
    11. Miguel Molico, 2006. "The Distribution Of Money And Prices In Search Equilibrium," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 47(3), pages 701-722, August.
    12. Ricardo de O. Cavalcanti & Neil Wallace, 1999. "Inside and outside money as alternative media of exchange," Proceedings, Federal Reserve Bank of Cleveland, pages 443-468.
    13. 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.
    14. Chiu, Jonathan & Molico, Miguel, 2010. "Liquidity, redistribution, and the welfare cost of inflation," Journal of Monetary Economics, Elsevier, vol. 57(4), pages 428-438, May.
    15. Araujo, Luis, 2004. "Social norms and money," Journal of Monetary Economics, Elsevier, vol. 51(2), pages 241-256, March.
    16. Casey B. Mulligan & Xavier Sala-i-Martin, 1993. "Transitional Dynamics in Two-Sector Models of Endogenous Growth," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 108(3), pages 739-773.
    17. Kiminori Matsuyama & Nobuhiro Kiyotaki & Akihiko Matsui, 1993. "Toward a Theory of International Currency," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 60(2), pages 283-307.
    18. Diamond, Peter A, 1982. "Aggregate Demand Management in Search Equilibrium," Journal of Political Economy, University of Chicago Press, vol. 90(5), pages 881-894, October.
    19. William J. Baumol, 1952. "The Transactions Demand for Cash: An Inventory Theoretic Approach," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 66(4), pages 545-556.
    20. Kiyotaki, Nobuhiro & Wright, Randall, 1989. "On Money as a Medium of Exchange," Journal of Political Economy, University of Chicago Press, vol. 97(4), pages 927-954, August.
    21. repec:hal:spmain:info:hdl:2441/4kidd5kmrd8huad84htlv8ih5r is not listed on IDEAS
    22. John Duffy & Jack Ochs, 2002. "Intrinsically Worthless Objects as Media of Exchange: Experimental Evidence," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 43(3), pages 637-674, August.
    23. Araujo, Luis & Camargo, Braz & Minetti, Raoul & Puzzello, Daniela, 2012. "The essentiality of money in environments with centralized trade," Journal of Monetary Economics, Elsevier, vol. 59(7), pages 612-621.
    24. Brown, Paul M., 1996. "Experimental evidence on money as a medium of exchange," Journal of Economic Dynamics and Control, Elsevier, vol. 20(4), pages 583-600, April.
    25. S. Rao Aiyagari & Neil Wallace, 1991. "Existence of Steady States with Positive Consumption in the Kiyotaki-Wright Model," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 58(5), pages 901-916.
    26. Marimon, Ramon & McGrattan, Ellen & Sargent, Thomas J., 1990. "Money as a medium of exchange in an economy with artificially intelligent agents," Journal of Economic Dynamics and Control, Elsevier, vol. 14(2), pages 329-373, May.
    27. Sethi, Rajiv, 1999. "Evolutionary stability and media of exchange," Journal of Economic Behavior & Organization, Elsevier, vol. 40(3), pages 233-254, November.
    28. Iacopetta, Maurizio, 2019. "The Emergence Of Money: A Dynamic Analysis," Macroeconomic Dynamics, Cambridge University Press, vol. 23(7), pages 2573-2596, October.
    29. Jovanovic, Boyan, 1982. "Inflation and Welfare in the Steady State," Journal of Political Economy, University of Chicago Press, vol. 90(3), pages 561-577, June.
    30. Araujo, Luis & Guimaraes, Bernardo, 2014. "Coordination in the use of money," Journal of Monetary Economics, Elsevier, vol. 64(C), pages 38-46.
    31. Aiyagari, S Rao & Wallace, Neil, 1992. "Fiat Money in the Kiyotaki-Wright Model," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 2(4), pages 447-464, October.
    32. Alexei Deviatov & Neil Wallace, 2014. "Optimal inflation in a model of inside money," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 17(2), pages 287-293, April.
    33. Maskin, Eric & Tirole, Jean, 2001. "Markov Perfect Equilibrium: I. Observable Actions," Journal of Economic Theory, Elsevier, vol. 100(2), pages 191-219, October.
    34. Li, Victor E, 1995. "The Optimal Taxation of Fiat Money in Search Equilibrium," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 36(4), pages 927-942, November.
    35. 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.
    36. Wright, Randall, 1995. "Search, evolution, and money," Journal of Economic Dynamics and Control, Elsevier, vol. 19(1-2), pages 181-206.
    37. Marimon, Ramon & Scott, Andrew (ed.), 1999. "Computational Methods for the Study of Dynamic Economies," OUP Catalogue, Oxford University Press, number 9780198294979.
    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. 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.
    2. Mattia Di Russo & Zakaria Babutsidze & Célia da Costa Pereira & Maurizio Iacopetta & Andrea G. B. Tettamanzi, 2022. "Agent-Based Modeling for Studying the Spontaneous Emergence of Money," Post-Print hal-03913561, HAL.
    3. repec:spo:wpmain:info:hdl:2441/2bedunljk79gt86fbf15pvnnc5 is not listed on IDEAS
    4. repec:hal:spmain:info:hdl:2441/2bedunljk79gt86fbf15pvnnc5 is not listed on IDEAS

    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. repec:hal:spmain:info:hdl:2441/48v4b2d60n9bipfp9hcmbgtucs is not listed on IDEAS
    2. repec:spo:wpmain:info:hdl:2441/48v4b2d60n9bipfp9hcmbgtucs is not listed on IDEAS
    3. Federico Bonetto & Maurizio Iacopetta, 2019. "A dynamic analysis of nash equilibria in search models with fiat money," Post-Print hal-03403584, HAL.
    4. Federico Bonetto & Maurizio Iacopetta, 2019. "A dynamic analysis of nash equilibria in search models with fiat money," SciencePo Working papers Main hal-03403584, HAL.
    5. Federico Bonetto & Maurizio Iacopetta, 2019. "A Dynamic Analysis of Nash Equilibria in Search Models with Fiat Money ," Post-Print halshs-03515530, HAL.
    6. Kiyotaki, Nobuhiro & Lagos, Ricardo & Wright, Randall, 2016. "Introduction to the symposium issue on money and liquidity," Journal of Economic Theory, Elsevier, vol. 164(C), pages 1-9.
    7. 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.
    8. Zakaria Babutsidze & Maurizio Iacopetta, 2021. "The Emergence of Money: Computational Approaches with Fully and Boundedly Rational Agents," Computational Economics, Springer;Society for Computational Economics, vol. 58(1), pages 3-26, June.
    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. repec:hal:spmain:info:hdl:2441/4kidd5kmrd8huad84htlv8ih5r is not listed on IDEAS
    11. Maurizio Iacopetta, 2019. "The emergence of money: a dynamic analysis," SciencePo Working papers Main hal-03403573, HAL.
    12. Davis, Douglas & Korenok, Oleg & Norman, Peter & Sultanum, Bruno & Wright, Randall, 2022. "Playing with money," Journal of Economic Behavior & Organization, Elsevier, vol. 200(C), pages 1221-1239.
    13. Maurizio Iacopetta, 2019. "The emergence of money: a dynamic analysis," Post-Print hal-03403573, HAL.
    14. repec:spo:wpmain:info:hdl:2441/4kidd5kmrd8huad84htlv8ih5r is not listed on IDEAS
    15. Maurizio Iacopetta, 2014. "dynamics of assets liquidity and inequality in economies with decentralized markets," Working Papers hal-01099374, HAL.
    16. repec:spo:wpmain:info:hdl:2441/2029nqlehl81soi17i2hktujh9 is not listed on IDEAS
    17. Maurizio Iacopetta, 2014. "dynamics of assets liquidity and inequality in economies with decentralized markets," SciencePo Working papers Main hal-01099374, HAL.
    18. repec:hal:spmain:info:hdl:2441/2029nqlehl81soi17i2hktujh9 is not listed on IDEAS
    19. Peter Rupert & Martin Schindler & Andrei Shevchenko & Randall Wright, 2000. "The search-theoretic approach to monetary economics: a primer," Economic Review, Federal Reserve Bank of Cleveland, issue Q IV, pages 10-28.
    20. Sethi, Rajiv, 1999. "Evolutionary stability and media of exchange," Journal of Economic Behavior & Organization, Elsevier, vol. 40(3), pages 233-254, November.
    21. Stephen D. Williamson & Randall Wright, 2010. "New monetarist economics: methods," Review, Federal Reserve Bank of St. Louis, vol. 92(May), pages 265-302.
    22. William Luther, 2016. "Mises and the moderns on the inessentiality of money in equilibrium," The Review of Austrian Economics, Springer;Society for the Development of Austrian Economics, vol. 29(1), pages 1-13, March.
    23. William Luther, 2014. "Evenly rotating economy: A new modeling technique for an old equilibrium construct," The Review of Austrian Economics, Springer;Society for the Development of Austrian Economics, vol. 27(4), pages 403-417, December.
    24. 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.
    25. Jack Ochs & John Duffy, 1999. "Emergence of Money as a Medium of Exchange: An Experimental Study," American Economic Review, American Economic Association, vol. 89(4), pages 847-877, September.
    26. Janet Hua Jiang & Peter Norman & Daniela Puzzello & Bruno Sultanum & Randall Wright, 2024. "Is Money Essential? An Experimental Approach," Journal of Political Economy, University of Chicago Press, vol. 132(9), pages 2972-2998.

    More about this item

    NEP fields

    This paper has been announced in the following NEP Reports:

    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:arx:papers:1805.04733. 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: arXiv administrators (email available below). General contact details of provider: http://arxiv.org/ .

    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.