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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

This paper investigates a Trejos–Wright random matching model of money with a consumer take-it-or-leave-it offer and with individual money holdings in the set {0,1,2}. It is shown that three kinds of monetary steady states exist generically: (1) pure-strategy full-support steady states, (2) mixed-strategy full-support steady states, and (3) non-full-support steady states. A full-support steady state exists if and only if a non-full-support steady state exists. Stability of these steady states is also studied. Both pure-strategy and mixed-strategy full-support steady states are locally stable. However, non-full-support steady states are unstable.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:matsoc:v:73:y:2015:i:c:p:55-62
    DOI: 10.1016/j.mathsocsci.2014.11.004
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    References listed on IDEAS

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    1. 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.
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    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. 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.
    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. Wallace, Neil & Zhu, Tao, 2004. "A commodity-money refinement in matching models," Journal of Economic Theory, Elsevier, vol. 117(2), pages 246-258, August.
    7. 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.
    8. Pidong Huang & Yoske Igarashi, 2013. "Why Ten $1’s Are Not Treated as a $10," Discussion Papers 1310, University of Exeter, Department of Economics.
    9. Shi Shougong, 1995. "Money and Prices: A Model of Search and Bargaining," Journal of Economic Theory, Elsevier, vol. 67(2), pages 467-496, December.
    10. 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.
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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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    JEL classification:

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

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