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

Huang, Pidong and Igarashi, Yoske (2013): Trejos-Wright with a 2-unit bound: existence and stability of monetary steady states.

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.

• Item Type: MPRA Paper
• Language: English
• Keywords: random matching model; monetary steady state; local stability; determinacy; instability; 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Huang, P., Igarashi, Y. (2012) :"Why ten $1's are not treated as a $10," unpublished manuscript

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

Luenberger (1979) : 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 (2003) : Zhu, T. (2003): "Existence of a monetary steady state in a matching model: indivisible money," Journal of Economic Theory