Optimality and monetary equilibria in stationary overlapping generations models with long lived agents: growth versus discounting
AbstractThis 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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Bibliographic InfoPaper provided by Federal Reserve Bank of Minneapolis in its series Working Papers with number 312.
Date of creation: 1986
Date of revision:
Publication status: Published in Journal of Economic Theory (Vol. 43, No. 2, December 1987, pp. 292-313)
Other versions of this item:
- 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.
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- 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.
- Cass, David & Okuno, Masahiro & Zilcha, Itzhak., . "The Role of Money in Supporting the Pareto Optimality of Competitive Equilibrium in Consumption-Loan Type Models," Working Papers 242, California Institute of Technology, Division of the Humanities and Social Sciences.
- Robert E. Lucas Jr. & Nancy L. Stokey, 1982.
"Optimal Growth with Many Consumers,"
518, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
- Tirole, Jean, 1985. "Asset Bubbles and Overlapping Generations," Econometrica, Econometric Society, vol. 53(6), pages 1499-1528, November.
- 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.
- 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.
- 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.
- 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.
- Epstein, Larry G., 1983. "Stationary cardinal utility and optimal growth under uncertainty," Journal of Economic Theory, Elsevier, vol. 31(1), pages 133-152, October.
- 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.
- 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.
- Chetty, V. K. & Ratha, Dilip, 1996. "On finite life times and growth," Journal of Macroeconomics, Elsevier, vol. 18(2), pages 353-358.
- Dmitri Vinogradov, 2003. "Macroeconomic evolution after a shock: the role for financial intermediation," Macroeconomics 0310007, EconWPA.
- 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.
- 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).
- 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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