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Does commodity money eliminate the indeterminacy of equilibria?

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  • Ruilin Zhou
Abstract
Previous studies have shown that a random-matching model with divisible at money and without constraint on agents' money inventories possesses a continuum of stationary single-price equilibria. Wallace [7] conjectured that the indeterminacy can be eliminated by the use of commodity money, just as the elimination of the contin- uum of dynamic (non-stationary) equilibria in models such asoverlapping generation or infnite-horizon money-in-utility-function. In contrast, I and that in a similar random-matching model with dividend-yielding commodity money, a continuum of stationary single-price equilibria exists when the utility ofdividend is not too high. This result casts doubt on the conventional belief that the indeterminacy of monetary equilibrium is caused only by the nominal nature of money.

Suggested Citation

  • Ruilin Zhou, 1999. "Does commodity money eliminate the indeterminacy of equilibria?," Working Paper Series WP-99-15, Federal Reserve Bank of Chicago.
    • Handle: RePEc:fip:fedhwp:wp-99-15
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    References listed on IDEAS

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    1. Wallace, Neil, 1998. "Introduction to Modeling Money and Studying Monetary Policy," Journal of Economic Theory, Elsevier, vol. 81(2), pages 223-231, August.
    2. Green, Edward J. & Zhou, Ruilin, 1998. "A Rudimentary Random-Matching Model with Divisible Money and Prices," Journal of Economic Theory, Elsevier, vol. 81(2), pages 252-271, August.
    3. Camera, Gabriele & Corbae, Dean, 1999. "Money and Price Dispersion," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 40(4), pages 985-1008, November.
    4. Myerson, Roger B. & Satterthwaite, Mark A., 1983. "Efficient mechanisms for bilateral trading," Journal of Economic Theory, Elsevier, vol. 29(2), pages 265-281, April.
    5. Obstfeld, Maurice & Rogoff, Kenneth, 1983. "Speculative Hyperinflations in Maximizing Models: Can We Rule Them Out?," Journal of Political Economy, University of Chicago Press, vol. 91(4), pages 675-687, August.
    6. Zhou, Ruilin, 1999. "Individual and Aggregate Real Balances in a Random-Matching Model," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 40(4), pages 1009-1038, November.
    7. Obstfeld, Maurice & Rogoff, Kenneth, 1986. "Ruling out divergent speculative bubbles," Journal of Monetary Economics, Elsevier, vol. 17(3), pages 349-362, May.
    8. Ariel Rubinstein & Asher Wolinsky, 1990. "Decentralized Trading, Strategic Behaviour and the Walrasian Outcome," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 57(1), pages 63-78.
    9. Edward J. Green & Ruilin Zhou, 2002. "Dynamic Monetary Equilibrium in a Random Matching Economy," Econometrica, Econometric Society, vol. 70(3), pages 929-969, May.
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    Citations

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    Cited by:

    1. Kamiya, Kazuya & Shimizu, Takashi, 2011. "Stationary monetary equilibria with strictly increasing value functions and non-discrete money holdings distributions: An indeterminacy result," Journal of Economic Theory, Elsevier, vol. 146(5), pages 2140-2150, September.
    2. Kubota, So & 久保田, 荘, 2019. "Market Structure and Indeterminacy of Stationary Equilibria in a Decentralized Monetary Economy," Discussion paper series HIAS-E-84, Hitotsubashi Institute for Advanced Study, Hitotsubashi University.
    3. Baughman, Garth & Rabinovich, Stanislav, 2019. "Self-confirming price dispersion in monetary economies," Journal of Economic Theory, Elsevier, vol. 183(C), pages 284-311.
    4. Kamiya, Kazuya & Shimizu, Takashi, 2006. "Real indeterminacy of stationary equilibria in matching models with divisible money," Journal of Mathematical Economics, Elsevier, vol. 42(4-5), pages 594-617, August.
    5. Wallace, Neil & Zhu, Tao, 2004. "A commodity-money refinement in matching models," Journal of Economic Theory, Elsevier, vol. 117(2), pages 246-258, August.
    6. Kazuya Kamiya & Takashi Shimizu, 2004. "Real Indeterminacy of Stationary Equilibria in Matching Models with Media of Exchange," CIRJE F-Series CIRJE-F-167, CIRJE, Faculty of Economics, University of Tokyo.
    7. Rabinovich Stanislav, 2017. "Revisiting Multiplicity of Bubble Equilibria in a Search Model with Posted Prices," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 17(1), pages 1-15, January.
    8. Araujo, Luis & Guimaraes, Bernardo, 2014. "Coordination in the use of money," Journal of Monetary Economics, Elsevier, vol. 64(C), pages 38-46.
    9. Jean, Kasie & Rabinovich, Stanislav & Wright, Randall, 2010. "On the multiplicity of monetary equilibria: Green-Zhou meets Lagos-Wright," Journal of Economic Theory, Elsevier, vol. 145(1), pages 392-401, January.
    10. Guimaraes, Bernardo & Araujo, Luis, 2011. "Equilibrium selection in a fundamental model of money," CEPR Discussion Papers 8200, C.E.P.R. Discussion Papers.

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    Money; Commercial products;

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