IDEAS home Printed from https://ideas.repec.org/p/pra/mprapa/46623.html
   My bibliography  Save this paper

Why Ten $1's Are Not Treated as a $10

Author

Listed:
  • Huang, Pidong
  • Igarashi, Yoske

Abstract

We study the stability of monetary steady states in a random matching model of money where money is indivisible, the bound on individual money holding is finite, and the trading protocol is buyer take-it-or-leave-it offers. The class of steady states we study have a non-full-support money-holding distribution and are constructed from the steady states of Zhu (2003). We show that no equilibrium path converges to such steady states if the initial distribution has a different support.

Suggested Citation

  • Huang, Pidong & Igarashi, Yoske, 2013. "Why Ten $1's Are Not Treated as a $10," MPRA Paper 46623, University Library of Munich, Germany.
    • Handle: RePEc:pra:mprapa:46623
    as

    Download full text from publisher

    File URL: https://mpra.ub.uni-muenchen.de/46623/1/MPRA_paper_46623.pdf
    File Function: original version
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Huang, Pidong & Igarashi, Yoske, 2015. "Trejos–Wright with a 2-unit bound: Existence and stability of monetary steady states," Mathematical Social Sciences, Elsevier, vol. 73(C), pages 55-62.
    2. Zhu, Tao, 2005. "Existence of a monetary steady state in a matching model: divisible money," Journal of Economic Theory, Elsevier, vol. 123(2), pages 135-160, August.
    3. Hector Lomeli & Ted Temzelides, 2002. "Discrete time dynamics in a random matching monetary model," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 20(2), pages 259-269.
    4. Edward J. Green & Ruilin Zhou, 2002. "Dynamic Monetary Equilibrium in a Random Matching Economy," Econometrica, Econometric Society, vol. 70(3), pages 929-969, May.
    5. Wallace, Neil & Zhu, Tao, 2004. "A commodity-money refinement in matching models," Journal of Economic Theory, Elsevier, vol. 117(2), pages 246-258, August.
    6. 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.
    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. Chen, Heng & Huynh, Kim P. & Shy, Oz, 2019. "Cash versus card: Payment discontinuities and the burden of holding coins," Journal of Banking & Finance, Elsevier, vol. 99(C), pages 192-201.
    2. Huang, Pidong & Igarashi, Yoske, 2015. "Trejos–Wright with a 2-unit bound: Existence and stability of monetary steady states," Mathematical Social Sciences, Elsevier, vol. 73(C), pages 55-62.
    3. Huang, Pidong, 2013. "Robustness of Stability to cost of carrying money in a Matching Model of Money," MPRA Paper 46625, University Library of Munich, Germany.

    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. Huang, Pidong & Igarashi, Yoske, 2014. "The instability of some non-full-support steady states in a random matching model of money," Journal of Mathematical Economics, Elsevier, vol. 55(C), pages 177-185.
    2. Huang, Pidong, 2013. "Robustness of Stability to cost of carrying money in a Matching Model of Money," MPRA Paper 46625, University Library of Munich, Germany.
    3. Huang, Pidong & Igarashi, Yoske, 2015. "Trejos–Wright with a 2-unit bound: Existence and stability of monetary steady states," Mathematical Social Sciences, Elsevier, vol. 73(C), pages 55-62.
    4. Pidong Huang, 2015. "Robustness of Stability to Cost of Carrying Money in a Matching Model of Money," Annals of Economics and Finance, Society for AEF, vol. 16(1), pages 95-114, May.
    5. 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.
    6. Scott J. Dressler, 2011. "Money Holdings, Inflation, And Welfare In A Competitive Market," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 52(2), pages 407-423, May.
    7. Kim, Young Sik & Lee, Manjong, 2010. "A model of debit card as a means of payment," Journal of Economic Dynamics and Control, Elsevier, vol. 34(8), pages 1359-1368, August.
    8. Araujo, Luis & Guimaraes, Bernardo, 2014. "Coordination in the use of money," Journal of Monetary Economics, Elsevier, vol. 64(C), pages 38-46.
    9. Irina A. Telyukova & Randall Wright, 2008. "A Model of Money and Credit, with Application to the Credit Card Debt Puzzle," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 75(2), pages 629-647.
    10. Allan Hernandez-Chanto, 2020. "The extrinsic value of low-denomination money holdings," Economic Theory Bulletin, Springer;Society for the Advancement of Economic Theory (SAET), vol. 8(2), pages 263-280, October.
    11. Young Sik Kim & Manjong Lee, 2012. "Return on Commodity Money, Small Change Problems, and Fiat Money," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 44(2‐3), pages 533-549, March.
    12. Menzio, Guido & Shi, Shouyong & Sun, Hongfei, 2013. "A monetary theory with non-degenerate distributions," Journal of Economic Theory, Elsevier, vol. 148(6), pages 2266-2312.
    13. 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.
    14. Guillaume Rocheteau & Pierre-Olivier Weill & Tsz-Nga Wong, 2015. "Working through the Distribution: Money in the Short and Long Run," NBER Working Papers 21779, National Bureau of Economic Research, Inc.
    15. Arun G. Chandrasekhar & Robert Townsend & Juan Pablo Xandri, 2018. "Financial Centrality and Liquidity Provision," NBER Working Papers 24406, National Bureau of Economic Research, Inc.
    16. Daniela Puzzello & Konrad Podczeck, 2010. "Independent random matching with many types," 2010 Meeting Papers 652, Society for Economic Dynamics.
    17. 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.
    18. Konrad Podczeck & Daniela Puzzello, 2012. "Independent random matching," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 50(1), pages 1-29, May.
    19. Wallace, Neil & Zhu, Tao, 2004. "A commodity-money refinement in matching models," Journal of Economic Theory, Elsevier, vol. 117(2), pages 246-258, August.
    20. Rocheteau, Guillaume & Rupert, Peter & Shell, Karl & Wright, Randall, 2008. "General equilibrium with nonconvexities and money," Journal of Economic Theory, Elsevier, vol. 142(1), pages 294-317, September.

    More about this item

    Keywords

    random matching model; monetary steady state;

    JEL classification:

    • E00 - Macroeconomics and Monetary Economics - - General - - - 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:pra:mprapa:46623. 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: Joachim Winter (email available below). General contact details of provider: https://edirc.repec.org/data/vfmunde.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.