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Stationarity without Degeneracy in a Model of Commodity Money

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  • de O. Cavalcanti, Ricardo
  • Puzzello, Daniela

Abstract

We develop a model of macroeconomic heterogeneity inspired by the Kiyotaki-Wright (1989) formulation of commodity money, with the addition of linear utility and idiosyncratic shocks to savings. We consider two environments. In the benchmark case, the consumer in a meeting is chosen randomly. In the auctions case, the individual holding more money can be selected to be the consumer. We show that in both environments socially optimal trading decisions (that are individually acceptable) are stationary and solve a tractable static op- timization problem. Savings decisions in the benchmark case are re- markably invariant to mean-preserving changes in the distribution of shocks. This result is overturned in the auctions case.

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Paper provided by University Library of Munich, Germany in its series MPRA Paper with number 17125.

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Date of creation: Mar 2009
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Handle: RePEc:pra:mprapa:17125

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Keywords: Macroeconomics with heterogeneous savings; commodity money with linear adjustments; mechanism design; auctions;

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References

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  1. Ricardo Lagos & Randall Wright, 2004. "A unified framework for monetary theory and policy analysis," Staff Report 346, Federal Reserve Bank of Minneapolis.
  2. Shouyong Shi, 1997. "A Divisible Search Model of Fiat Money," Econometrica, Econometric Society, vol. 65(1), pages 75-102, January.
  3. Charalambos Aliprantis & Gabriele Camera & Daniela Puzzello, 2006. "Matching and anonymity," Economic Theory, Springer, vol. 29(2), pages 415-432, October.
  4. Mark Huggett & Stefan Krasa, 1996. "Money and storage in a differential information economy (*)," Economic Theory, Springer, vol. 8(2), pages 191-209.
  5. Ricardo O. Cavalcanti & Andrés Erosa, 2007. "A theory of capital gains taxation and business turnover," Economic Theory, Springer, vol. 32(3), pages 477-496, September.
  6. Aiyagari, S Rao & Wallace, Neil, 1992. "Fiat Money in the Kiyotaki-Wright Model," Economic Theory, Springer, vol. 2(4), pages 447-64, October.
  7. D. Aliprantis, C. & Camera, G. & Puzzello, D., 2007. "Anonymous markets and monetary trading," Journal of Monetary Economics, Elsevier, vol. 54(7), pages 1905-1928, October.
  8. Burdett, Kenneth & Judd, Kenneth L, 1983. "Equilibrium Price Dispersion," Econometrica, Econometric Society, vol. 51(4), pages 955-69, July.
  9. Kehoe, Timothy J & Kiyotaki, Nobuhiro & Wright, Randall, 1993. "More on Money as a Medium of Exchange," Economic Theory, Springer, vol. 3(2), pages 297-314, April.
  10. Julien, BenoI^t & Kennes, John & King, Ian, 2008. "Bidding for money," Journal of Economic Theory, Elsevier, vol. 142(1), pages 196-217, September.
  11. Charalambos D Aliprantis & Gabriele Camera & Daniela Puzzello, 2007. "Contagion Equilibria in a Monetary Model," Econometrica, Econometric Society, vol. 75(1), pages 277-282, 01.
  12. Hector Lomeli & Ted Temzelides, 2002. "Discrete time dynamics in a random matching monetary model," Economic Theory, Springer, vol. 20(2), pages 259-269.
  13. Galenianos, Manolis & Kircher, Philipp, 2008. "A model of money with multilateral matching," Journal of Monetary Economics, Elsevier, vol. 55(6), pages 1054-1066, September.
  14. Ricardo Lagos & Guillaume Rocheteau, 2004. "Money and capital as competing media of exchange," Staff Report 341, Federal Reserve Bank of Minneapolis.
  15. Kiyotaki, Nobuhiro & Wright, Randall, 1989. "On Money as a Medium of Exchange," Journal of Political Economy, University of Chicago Press, vol. 97(4), pages 927-54, August.
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Cited by:
  1. Konrad Podczeck & Daniela Puzzello, 2012. "Independent random matching," Economic Theory, Springer, vol. 50(1), pages 1-29, May.

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