Summary
We extend the analysis of Kiyotaki and Wright, who study economies where the commodities that serve as media of exchange (or, commodity money) are determined endogenously. Kiyotaki and Wright consider only steady-state, pure-strategy equilibria; here we allow dynamic and mixed-strategy equilibria. We demonstrate that symmetric, steady-state equilibria in mixed-strategies always exist, while sometimes no such equilibria exist in pure-strategies. We prove that the number of symmetric steady-state equilibria is generically finite. We also show, however, that for some parameter values there exists a continuum of dynamic equilibria. Further, some equilibria display cycles.
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Aiyagari, S. R., Wallace, N.: Existence of steady states with positive consumption in the Kiyotaki-Wright model. Rev. Econ. Stud.58, 901–916 (1991)
Aiyagari, S. R., Wallace, N.: Fiat money in the Kiyotaki —Wright model. Econ. Theory2, 447–464 (1992)
Azariadis, C., Guesnerie, R.: Sunspots and cycles. Rev. Econ. Stud.53, 725–738 (1986)
Balasko, Y., Cass, D., Shell, K.: Existence of competitive equilibrium in a general overlapping generations model. J. Econ. Theory23, 307–322 (1980)
Benhabib, J., Day, R. H.: A characterization of erratic dynamics in the overlapping generations model. J. Econ. Dyn. Control4, 37–55 (1982)
van Damme, E.: Refinements of the Nash Equilibrium Concept. Lect. Notes Econ. Math. Syst.219, Berlin: Springer 1983
Gintis, H.: Money in general equilibrium. Manuscript, University of Massachusetts, Amherst 1989
Grandmont, J.-M.: On endogenous competitive business cycles. Econometrica53, 995–1043 (1985)
Guillemin, V., Pollack, A.: Differential topology. Englewood Cliffs: Prentice-Hall 1974
Harsanyi, J. C.: Oddness of the number of equilibrium points: a new proof. Int. J. Game Theory2, 235–250 (1973)
Hirsch, M. W.: Differential topology. New York: Springer 1976
Irwin, M. C.: Smooth dynamical systems. New York: Academic Press 1980
Jovanovic, B., Rosenthal, R. W.: Anonymous sequential games. J. Math. Econ.17, 77–87 (1988)
Kehoe, T. J.: Multiplicity of equilibria and comparative statics. Quart. J. Econ.100, 119–147 (1985)
Kehoe, T. J., Levine, D. K.: Regularity in overlapping generations exchange economies. J. Math. Econ.13, 69–93 (1984)
Kehoe, T. J., Levine, D. K.: Comparative statics and perfect foresight in infinite horizon models. Econometrica53, 433–453 (1985)
Kiyotaki, N., Wright, R.: On money as a medium exchange. J. Polit. Econ.97, 927–954 (1989)
Mas-Colell, A.: The theory of general economic equilibrium: a differentiable approach. Cambridge: Cambridge University Press 1985
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We thank the National Science Foundation and the University of Pennsylvania Research Foundation for financial support, as well as seminar participants at Stanford University, the London School of Economics, the Econometric Society World Congress in Barcelona, and the Conference on Monetary Theory and Financial Institutions at the Federal Reserve Bank of Minneapolis for their comments or suggestions. Alberto Trejos provided research assistance. The views expressed here are those of the authors and not necessarily those of the Federal Reserve Bank of Minneapolis or the Federal Reserve System.
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Kehoe, T.J., Kiyotaki, N. & Wright, R. More on money as a medium of exchange. Econ Theory 3, 297–314 (1993). https://doi.org/10.1007/BF01212919
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DOI: https://doi.org/10.1007/BF01212919