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Existence of steady states with positive consumption in the Kiyotaki-Wright model

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  • S. Rao Aiyagari
  • Neil Wallace

Abstract

We prove the general existence of steady states with positive consumption in an N goods and fiat money version of the Kiyotaki-Wright (“On money as a median of exchange,” Journal of Political Economy 1989, 97 (4), 927–54) model by admitting mixed strategies. We also show that there always exists a steady state in which everyone accepts a least costly-to-store object. In particular, if fiat money is one such object, then there always exists a monetary steady state. We also establish some other properties of steady states and comment on the relationship between steady states and (incentive) feasible allocations.

Suggested Citation

  • S. Rao Aiyagari & Neil Wallace, 1991. "Existence of steady states with positive consumption in the Kiyotaki-Wright model," Working Papers 428, Federal Reserve Bank of Minneapolis.
  • Handle: RePEc:fip:fedmwp:428
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    1. Kiyotaki, Nobuhiro & Wright, Randall, 1989. "On Money as a Medium of Exchange," Journal of Political Economy, University of Chicago Press, vol. 97(4), pages 927-954, August.
    2. Kehoe, Timothy J & Kiyotaki, Nobuhiro & Wright, Randall, 1993. "More on Money as a Medium of Exchange," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 3(2), pages 297-314, April.
    3. Aiyagari, S Rao & Wallace, Neil, 1992. "Fiat Money in the Kiyotaki-Wright Model," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 2(4), pages 447-464, October.
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