IDEAS home Printed from https://ideas.repec.org/p/kob/dpaper/dp2019-03.html
   My bibliography  Save this paper

On the Real Determinacy and Indeterminacy of Stationary Equilibria in Monetary Models

Author

Listed:
  • Kazuya Kamiya

    (Research Institute for Economics & Business Administration (RIEB), Kobe University, Japan)

Abstract

It is known that stationary equilibria are indeterminate in some monetary models, especially in money search models with divisible money. However, most of the indeterminacy results are limited to the case that money holdings distributions have fi nite supports. In the case of infi nite supports, both determinacy and indeterminacy results are known. In this paper, using the Borsuk-Ulam theorem in Banach Space, I investigate what determines the differences.

Suggested Citation

  • Kazuya Kamiya, 2019. "On the Real Determinacy and Indeterminacy of Stationary Equilibria in Monetary Models," Discussion Paper Series DP2019-03, Research Institute for Economics & Business Administration, Kobe University, revised Mar 2021.
    • Handle: RePEc:kob:dpaper:dp2019-03
    as

    Download full text from publisher

    File URL: https://www.rieb.kobe-u.ac.jp/academic/ra/dp/English/DP2019-03.pdf
    File Function: First version, 2019
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Kamiya, Kazuya & Shimizu, Takashi, 2011. "Stationary monetary equilibria with strictly increasing value functions and non-discrete money holdings distributions: An indeterminacy result," Journal of Economic Theory, Elsevier, vol. 146(5), pages 2140-2150, September.
    2. Green, Edward J. & Zhou, Ruilin, 1998. "A Rudimentary Random-Matching Model with Divisible Money and Prices," Journal of Economic Theory, Elsevier, vol. 81(2), pages 252-271, August.
    3. Kazuya Kamiya & Takashi Shimizu, 2013. "Dynamic Auction Markets with Fiat Money," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 45(2‐3), pages 349-378, March.
    4. Kamiya, Kazuya & Shimizu, Takashi, 2006. "Real indeterminacy of stationary equilibria in matching models with divisible money," Journal of Mathematical Economics, Elsevier, vol. 42(4-5), pages 594-617, August.
    5. Edward J. Green & Ruilin Zhou, 2002. "Dynamic Monetary Equilibrium in a Random Matching Economy," Econometrica, Econometric Society, vol. 70(3), pages 929-969, May.
    6. repec:mcb:jmoncb:v:45:y:2013:i::p:349-378 is not listed on IDEAS
    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. Kubota, So & 久保田, 荘, 2019. "Market Structure and Indeterminacy of Stationary Equilibria in a Decentralized Monetary Economy," Discussion paper series HIAS-E-84, Hitotsubashi Institute for Advanced Study, Hitotsubashi University.
    2. Kazuya Kamiya & Takashi Shimizu, 2010. "Hysteresis in Dynamic General Equilibrium Models with Cash-in-Advance Constraints," CIRJE F-Series CIRJE-F-765, CIRJE, Faculty of Economics, University of Tokyo.
    3. Kazuya Kamiya & Hajime Kobayashi & Tatsuhiro Shichijo & Takashi Shimizu, 2017. "Equilibrium Selection in Monetary Search Models: An Experimental Approach," Discussion Paper Series DP2017-03, Research Institute for Economics & Business Administration, Kobe University.
    4. Kazuya Kamiya & So Kubota & Kayuna Nakajima, 2017. "Real Indeterminacy of Stationary Monetary Equilibria in Centralized Economies," The Japanese Economic Review, Japanese Economic Association, vol. 68(4), pages 497-520, December.
    5. Kamiya, Kazuya & Kobayashi, Hajime & Shichijo, Tatsuhiro & Shimizu, Takashi, 2021. "On the monetary exchange with multiple equilibrium money holdings distributions: An experimental approach," Journal of Economic Behavior & Organization, Elsevier, vol. 183(C), pages 206-232.
    6. Jean, Kasie & Rabinovich, Stanislav & Wright, Randall, 2010. "On the multiplicity of monetary equilibria: Green-Zhou meets Lagos-Wright," Journal of Economic Theory, Elsevier, vol. 145(1), pages 392-401, January.
    7. Kazuya Kamiya & So Kubota & Kayuna Nakajima, 2011. "Efficient estimation and particle filter for max-stable processes," CIRJE F-Series CIRJE-F-792, CIRJE, Faculty of Economics, University of Tokyo.
    8. Kamiya, Kazuya & Shimizu, Takashi, 2011. "Stationary monetary equilibria with strictly increasing value functions and non-discrete money holdings distributions: An indeterminacy result," Journal of Economic Theory, Elsevier, vol. 146(5), pages 2140-2150, September.
    9. Zhou, Ruilin, 2003. "Does commodity money eliminate the indeterminacy of equilibrium?," Journal of Economic Theory, Elsevier, vol. 110(1), pages 176-190, May.
    10. 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.
    11. Kazuya Kamiya & Takashi Shimizu, 2006. "A Dynamic General Equilibrium Model with Centralized Auction Markets," CIRJE F-Series CIRJE-F-417, CIRJE, Faculty of Economics, University of Tokyo.
    12. Scott J. Dressler, 2011. "A Long-Run, Short-Run and Politico-Economic Analysis of the Welfare Costs of Inflation," Villanova School of Business Department of Economics and Statistics Working Paper Series 16, Villanova School of Business Department of Economics and Statistics.
    13. Young Sik Kim & Manjong Lee, 2009. "Wealth Distribution, Inflation Tax, and Societal Benefits of Illiquid Bonds," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 41(5), pages 809-830, August.
    14. Kamiya, Kazuya & Shimizu, Takashi, 2006. "Real indeterminacy of stationary equilibria in matching models with divisible money," Journal of Mathematical Economics, Elsevier, vol. 42(4-5), pages 594-617, August.
    15. Li, Yiting & Matsui, Akihiko, 2009. "A theory of international currency: Competition and discipline," Journal of the Japanese and International Economies, Elsevier, vol. 23(4), pages 407-426, December.
    16. Manolis Galenianos & Philipp Kircher, 2005. "A Model of Money with Multilateral Matching, Second Version," PIER Working Paper Archive 07-004, Penn Institute for Economic Research, Department of Economics, University of Pennsylvania, revised 01 Nov 2006.
    17. Kazuya Kamiya & Takashi Shimizu, 2007. "On The Role Of Tax Subsidy Scheme In Money Search Models," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 48(2), pages 575-606, May.
    18. Kazuya Kamiya & Takashi Shimizu, 2005. "On the Role of Tax-Subsidy Scheme in Money Search Models (Subsequently published in "International Economic Review" 48, 2007, 575-606. )," CARF F-Series CARF-F-025, Center for Advanced Research in Finance, Faculty of Economics, The University of Tokyo.
    19. Kazuya Kamiya & Takashi Shimizu, 2005. "A New Technique for Proving the Existence of Monetary Equilibria in Matching Models with Divisible Money," CARF F-Series CARF-F-037, Center for Advanced Research in Finance, Faculty of Economics, The University of Tokyo.
    20. Tsz-Nga Wong & Pierre-Olivier Weill & Guillaume Rocheteau, 2015. "Long-Run and Short-Run Effects of Money Injections," 2015 Meeting Papers 793, Society for Economic Dynamics.

    More about this item

    Keywords

    Real Determinacy; Real Indeterminacy; Monetary Search Model; All-Pay Auction; Divisible Money; Infi nite Dimensional Space; Borsuk-Ulam Theorem;
    All these keywords.

    JEL classification:

    • C78 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Bargaining Theory; Matching Theory
    • D51 - Microeconomics - - General Equilibrium and Disequilibrium - - - Exchange and Production Economies
    • D83 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Search; Learning; Information and Knowledge; Communication; Belief; Unawareness
    • E40 - Macroeconomics and Monetary Economics - - Money and Interest Rates - - - General

    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:kob:dpaper:dp2019-03. 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: Office of Promoting Research Collaboration, Research Institute for Economics & Business Administration, Kobe University (email available below). General contact details of provider: https://edirc.repec.org/data/rikobjp.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.