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


  • Huang, Pidong
  • Igarashi, Yoske


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

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    References listed on IDEAS

    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. Edward J. Green & Ruilin Zhou, 2002. "Dynamic Monetary Equilibrium in a Random Matching Economy," Econometrica, Econometric Society, vol. 70(3), pages 929-969, May.
    4. Wallace, Neil & Zhu, Tao, 2004. "A commodity-money refinement in matching models," Journal of Economic Theory, Elsevier, vol. 117(2), pages 246-258, August.
    5. 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.
    6. 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.
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    Cited by:

    1. Heng Chen & Kim Huynh & Oz Shy, 2017. "Cash Versus Card: Payment Discontinuities and the Burden of Holding Coins," Staff Working Papers 17-47, Bank of Canada.
    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.

    More about this item


    random matching model; monetary steady state;

    JEL classification:

    • E00 - Macroeconomics and Monetary Economics - - General - - - General

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