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Trejos-Wright with a 2-unit bound: existence and stability of monetary steady states

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  • Huang, Pidong
  • Igarashi, Yoske

Abstract

We investigate in details a Trejos-Wright random matching model of money with a consumer take-it-or-leave-it offer and the individual money holding set {0,1,2}. First we show generic existence of three kinds of steady states: (1) pure-strategy full-support steady states, (2) mixed-strategy full-support steady states, and (3) non-full-support steady states, and then we show relations between them. Finally we provide stability analyses. It is shown that (1) and (2) are locally stable, (1) being also determinate. (3) is shown to be unstable.

Suggested Citation

  • Huang, Pidong & Igarashi, Yoske, 2013. "Trejos-Wright with a 2-unit bound: existence and stability of monetary steady states," MPRA Paper 51205, University Library of Munich, Germany.
    • Handle: RePEc:pra:mprapa:51205
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    References listed on IDEAS

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    1. Miguel Molico, 2006. "The Distribution Of Money And Prices In Search Equilibrium," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 47(3), pages 701-722, August.
    2. Deviatov Alexei, 2006. "Money Creation in a Random Matching Model," The B.E. Journal of Macroeconomics, De Gruyter, vol. 6(3), pages 1-20, December.
    3. 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.
    4. Neil Wallace, 2014. "Optimal money creation in "pure currency" economies: a conjecture," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 129(1), pages 259-274.
    5. Pidong Huang & Yoske Igarashi, 2013. "Why Ten $1’s Are Not Treated as a $10," Discussion Papers 1310, University of Exeter, Department of Economics.
    6. Shi Shougong, 1995. "Money and Prices: A Model of Search and Bargaining," Journal of Economic Theory, Elsevier, vol. 67(2), pages 467-496, December.
    7. 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.
    8. Edward J. Green & Ruilin Zhou, 2002. "Dynamic Monetary Equilibrium in a Random Matching Economy," Econometrica, Econometric Society, vol. 70(3), pages 929-969, May.
    9. 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.
    10. 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.
    11. Wallace, Neil & Zhu, Tao, 2004. "A commodity-money refinement in matching models," Journal of Economic Theory, Elsevier, vol. 117(2), pages 246-258, August.
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    Cited by:

    1. Pidong Huang & Yoske Igarashi, 2013. "Why Ten $1’s Are Not Treated as a $10," Discussion Papers 1310, University of Exeter, Department of Economics.
    2. 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.
    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. 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.

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    More about this item

    Keywords

    random matching model; monetary steady state; local stability; determinacy; instability; Zhu (2003).;
    All these keywords.

    JEL classification:

    • E40 - Macroeconomics and Monetary Economics - - Money and Interest Rates - - - General

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