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Optimality and monetary equilibria in stationary overlapping generations models with long lived agents: growth versus discounting

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S. Rao Aiyagari

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Abstract

This paper studies the relationship between the existence and optimality of a monetary steady-state and the nonoptimality of nonmonetary steady-states. We construct a sequence of stationary overlapping generations economies with longer and longer lived generations in which all agents maximize a discounted sum of utilities with a common discount rate. Under some assumptions the following result is established: If the discount rate is greater (less) than the population growth rate, then eventually every nonmonetary steady-state is optimal (non-optimal) and a monetary steady-state does not exist (exists and is optimal).

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File URL: http://www.minneapolisfed.org/research/WP/WP312.pdf
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Paper provided by Federal Reserve Bank of Minneapolis in its series Working Papers with number 312.

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Date of creation: 1986
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Publication status: Published in Journal of Economic Theory (Vol. 43, No. 2, December 1987, pp. 292-313)
Handle: RePEc:fip:fedmwp:312

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Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
  1. Benveniste, Lawrence M & Cass, David, 1986. "On the Existence of Optimal Stationary Equilibria with a Fixed Supply of Fiat Money: I. The Case of a Single Consumer," Journal of Political Economy, University of Chicago Press, vol. 94(2), pages 402-17, April. [Downloadable!] (restricted)
  2. Cass, David & Okuno, Masahiro & Zilcha, Itzhak, 1979. "The role of money in supporting the pareto optimality of competitive equilibrium in consumption-loan type models," Journal of Economic Theory, Elsevier, vol. 20(1), pages 41-80, February. [Downloadable!] (restricted)
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  3. Lucas, Robert Jr. & Stokey, Nancy L., 1984. "Optimal growth with many consumers," Journal of Economic Theory, Elsevier, vol. 32(1), pages 139-171, February. [Downloadable!] (restricted)
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  4. Epstein, Larry G., 1983. "Stationary cardinal utility and optimal growth under uncertainty," Journal of Economic Theory, Elsevier, vol. 31(1), pages 133-152, October. [Downloadable!] (restricted)
  5. Shell, Karl, 1971. "Notes on the Economics of Infinity," Journal of Political Economy, University of Chicago Press, vol. 79(5), pages 1002-11, Sept.-Oct. [Downloadable!] (restricted)
  6. Paul A. Samuelson, 1958. "An Exact Consumption-Loan Model of Interest with or without the Social Contrivance of Money," Journal of Political Economy, University of Chicago Press, vol. 66, pages 467. [Downloadable!] (restricted)
  7. Balasko, Yves & Shell, Karl, 1980. "The overlapping-generations model, I: The case of pure exchange without money," Journal of Economic Theory, Elsevier, vol. 23(3), pages 281-306, December. [Downloadable!] (restricted)
  8. Balasko, Yves & Cass, David & Shell, Karl, 1980. "Existence of competitive equilibrium in a general overlapping-generations model," Journal of Economic Theory, Elsevier, vol. 23(3), pages 307-322, December. [Downloadable!] (restricted)
  9. Wilson, Charles A., 1981. "Equilibrium in dynamic models with an infinity of agents," Journal of Economic Theory, Elsevier, vol. 24(1), pages 95-111, February. [Downloadable!] (restricted)
  10. Tirole, Jean, 1985. "Asset Bubbles and Overlapping Generations," Econometrica, Econometric Society, vol. 53(6), pages 1499-1528, November. [Downloadable!] (restricted)
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  1. Dmitri Vinogradov, 2003. "Macroeconomic evolution after a shock: the role for financial intermediation," Macroeconomics 0310007, EconWPA. [Downloadable!]
  2. LOVO, Stefano, 2000. "Infinitely lived representative agent exchange economy with myopia," CORE Discussion Papers 2000028, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE). [Downloadable!]
  3. Dmitri Vinogradov, 2004. "Macroeconomic evolution aftera shock: the role of financial intermediation," Money Macro and Finance (MMF) Research Group Conference 2003 106, Money Macro and Finance Research Group. [Downloadable!]
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