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Robustness of Stability to Cost of Carrying Money in a Matching Model of Money

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  • Pidong Huang

    (Department of Economics, Korea University)

Abstract

This paper studies stability of monetary steady states in a Trejos-Wright random matching model of money with the money holding set {0, 1, 2} and a cost of carrying money. Three steady states are generic: pure-strategy full- support steady state; mixed-strategy full-support steady state; and non-full- support steady state. Stability analysis shows that both full-support steady states are stable and determinate. The non-full-support steady state is stable and indeterminate if there is a sufficiently small positive carrying cost. The non-full-support steady state becomes unstable if the carrying cost is zero.

Suggested Citation

  • 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.
    • Handle: RePEc:cuf:journl:y:2015:v:16:i:1:huang
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    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. 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.
    4. Manjong Lee & Neil Wallace & Tao Zhu, 2005. "Modeling Denomination Structures," Econometrica, Econometric Society, vol. 73(3), pages 949-960, May.
    5. 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.
    6. Edward J. Green & Ruilin Zhou, 2002. "Dynamic Monetary Equilibrium in a Random Matching Economy," Econometrica, Econometric Society, vol. 70(3), pages 929-969, May.
    7. Wallace, Neil & Zhu, Tao, 2004. "A commodity-money refinement in matching models," Journal of Economic Theory, Elsevier, vol. 117(2), pages 246-258, August.
    Full references (including those not matched with items on IDEAS)

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    More about this item

    Keywords

    Random matching model; Monetary steady state; Instability; Determinacy;
    All these keywords.

    JEL classification:

    • C62 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Existence and Stability Conditions of Equilibrium
    • C78 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Bargaining Theory; Matching Theory
    • E40 - Macroeconomics and Monetary Economics - - Money and Interest Rates - - - General

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