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

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  • Aiyagari, S. Rao
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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  • Aiyagari, S. Rao, 1987. "Optimality and monetary equilibria in stationary overlapping generations models with long-lived agents: Growth versus discounting," Journal of Economic Theory, Elsevier, vol. 43(2), pages 292-313, December.
  • Handle: RePEc:eee:jetheo:v:43:y:1987:i:2:p:292-313
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    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 402-417, April.
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    Cited by:

    1. Stefano Lovo, 2000. "Infinitely Lived Representative Agent Exchange Economy with Myopia," Working Papers hal-00598167, HAL.
    2. Dmitri Vinogradov, 2003. "Macroeconomic evolution after a shock: the role for financial intermediation," Macroeconomics 0310007, University Library of Munich, Germany.
    3. Chetty, V. K. & Ratha, Dilip, 1996. "On finite life times and growth," Journal of Macroeconomics, Elsevier, vol. 18(2), pages 353-358.
    4. Colucci, Domenico, 2003. "Steady states in the OLG model with seignorage and long-lived agents," Research in Economics, Elsevier, vol. 57(4), pages 371-381, December.
    5. 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.

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