Robustness of Stability to cost of carrying money in a Matching Model of Money

Huang, Pidong (2013): Robustness of Stability to cost of carrying money in a Matching Model of Money.

Abstract

This paper studies stability of monetary steady states in a Trejos-Wright random matching model of money with money holding set {0,1,2} and cost of carrying money. There kinds of steady states exist generically: pure-strategy full-support steady states, mixed-strategy full-support steady state, and non-full-support steady state. Stability analysis shows that full-support steady states are stable and determinate generically and that non-full-support steady state is stable and indeterminate if there is a small positive carrying cost.

• Item Type: MPRA Paper
• Language: English
• Keywords: random matching model; monetary steady state; instability; determinacy; Zhu (2003).
• Subjects: E - Macroeconomics and Monetary Economics > E0 - General > E00 - General

References

Green, E. J., Zhou, R. (2002) :"Dynamic monetary equilibrium in a random matching economy," Econometrica

Huang, P., Igarashi, Y. (2013) :"Why Ten $1's Are Not Treated as a $10? The Instability of Nonfull-support Steady States in a Random Matching Model of Money," unpublished manuscript

Huang, P., Igarashi, Y. (2013) :"Trejos-Wright with a 2-unit bound: existence and stability of monetary steady states," unpublished manuscript

Lee, M., Wallace, N., and Zhu, T. (2005): "Notes and comments modeling denomincation structures," Econometrica

Lomeli, H., Temzelides, T. (2002): "Discrete time dynamics in a random matching monetary model," Economic Theory

Luenberger, David G. (1979): Introduction to Dynamic Systems: Theory, Models, and Applications, Wiley

Lucas, R.,Prescott, E., Stocky, N. (1989) :"Recursive Methods in Economic Dynamics,"

Trejos, A., and Wright, R. (1995): "Search, bargaining, money and prices," Journal of Political Economy

Wallace, N., and Zhu, T. (2004): "A commodity-money refinement in matching models," Journal of Economic Theory

Zhu, T. (2003): "Existence of a monetary steady state in a matching model: indivisible money," Journal of Economic Theory