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Stationarity without degeneracy in a model of commodity money

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  • R. O. Cavalcanti
  • Daniela Puzzello

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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Suggested Citation

  • R. O. Cavalcanti & Daniela Puzzello, 2010. "Stationarity without degeneracy in a model of commodity money," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 43(2), pages 263-280, May.
  • Handle: RePEc:spr:joecth:v:43:y:2010:i:2:p:263-280
    DOI: 10.1007/s00199-009-0459-8
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    1. 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.
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    15. Hector Lomeli & Ted Temzelides, 2002. "Discrete time dynamics in a random matching monetary model," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 20(2), pages 259-269.
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    Cited by:

    1. Konrad Podczeck & Daniela Puzzello, 2012. "Independent random matching," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 50(1), pages 1-29, May.

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    More about this item

    Keywords

    Macroeconomics with heterogeneous savings; Commodity money with linear adjustments; Mechanism design; Auctions; E00; C00;
    All these keywords.

    JEL classification:

    • C00 - Mathematical and Quantitative Methods - - General - - - General
    • E00 - Macroeconomics and Monetary Economics - - General - - - General

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