IDEAS home Printed from https://ideas.repec.org/p/fip/fedmwp/428.html

Existence of steady states with positive consumption in the Kiyotaki-Wright model

Author

Listed:
  • S. Rao Aiyagari
  • Neil Wallace

Abstract

We prove the general existence of steady states with positive consumption in an N goods and fiat money version of the Kiyotaki-Wright (?On money as a median of exchange,? Journal of Political Economy 1989, 97 (4), 927?54) model by admitting mixed strategies. We also show that there always exists a steady state in which everyone accepts a least costly-to-store object. In particular, if fiat money is one such object, then there always exists a monetary steady state. We also establish some other properties of steady states and comment on the relationship between steady states and (incentive) feasible allocations.

Suggested Citation

  • S. Rao Aiyagari & Neil Wallace, 1991. "Existence of steady states with positive consumption in the Kiyotaki-Wright model," Working Papers 428, Federal Reserve Bank of Minneapolis.
    • Handle: RePEc:fip:fedmwp:428
    as

    Download full text from publisher

    File URL: https://www.minneapolisfed.org/research/wp/wp428.pdf
    File Function: Full text
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. 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.
    2. 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.
    3. 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.
    Full references (including those not matched with items 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. 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.
    2. R. O. Cavalcanti & Daniela Puzzello, 2010. "Stationarity without degeneracy in a model of commodity money," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 43(2), pages 263-280, May.
    3. Federico Bonetto & Maurizio Iacopetta, 2019. "A dynamic analysis of nash equilibria in search models with fiat money," Sciences Po Economics Publications (main) hal-03403584, HAL.
    4. Federico Bonetto & Maurizio Iacopetta, 2019. "A Dynamic Analysis of Nash Equilibria in Search Models with Fiat Money ," Post-Print halshs-03515530, HAL.
    5. Oberfield, Ezra & Trachter, Nicholas, 2012. "Commodity money with frequent search," Journal of Economic Theory, Elsevier, vol. 147(6), pages 2332-2356.
    6. 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.
    7. Juan-Manuel Renero, 2000. "May the Worst Commodity Standard be the Best? A Re-enactment of "The Crimes of 1873"," Econometric Society World Congress 2000 Contributed Papers 1522, Econometric Society.
    8. repec:spo:wpmain:info:hdl:2441/48v4b2d60n9bipfp9hcmbgtucs is not listed on IDEAS
    9. Federico Bonetto & Maurizio Iacopetta, 2019. "A dynamic analysis of nash equilibria in search models with fiat money," Post-Print hal-03403584, HAL.
    10. 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.
    11. Sethi, Rajiv, 1999. "Evolutionary stability and media of exchange," Journal of Economic Behavior & Organization, Elsevier, vol. 40(3), pages 233-254, November.
    12. 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.
    13. Wright, Randall, 1995. "Search, evolution, and money," Journal of Economic Dynamics and Control, Elsevier, vol. 19(1-2), pages 181-206.
    14. Bilge Ozturk, 2003. "An evolutionary model of the emergence of the media of exchange," Working Papers hal-00242982, HAL.
    15. Kiyotaki, N. & Wright, R., 1990. "Search For A Theory Of Money," Working papers 90-15, Wisconsin Madison - Social Systems.
    16. Maurizio Iacopetta, 2014. "dynamics of assets liquidity and inequality in economies with decentralized markets," Working Papers hal-01099374, HAL.
    17. 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.
    18. Ellingsen, Tore, 1998. "Payments in Kind," SSE/EFI Working Paper Series in Economics and Finance 244, Stockholm School of Economics, revised 10 Feb 2000.
    19. Luo, Guo Ying, 1998. "The evolution of money as a medium of exchange," Journal of Economic Dynamics and Control, Elsevier, vol. 23(3), pages 415-458, November.
    20. repec:spo:wpmain:info:hdl:2441/2029nqlehl81soi17i2hktujh9 is not listed on IDEAS
    21. Rao Aiyagari, S. & Wallace, Neil & Wright, Randall, 1996. "Coexistence of money and interest-bearing securities," Journal of Monetary Economics, Elsevier, vol. 37(3), pages 397-419, June.
    22. 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.

    More about this item

    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:fip:fedmwp:428. 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: Kate Hansel (email available below). General contact details of provider: https://edirc.repec.org/data/cfrbmus.html .

    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.