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Overlapping Generations Models of General Equilibrium

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Author Info
John Geanakoplos () (Cowles Foundation, Yale University)
Abstract

The OLG model of Allais and Samuelson retains the methodological assumptions of agent optimization and market clearing from the Arrow-Debreu model, yet its equilibrium set has different properties: Pareto inefficiency, indeterminacy, positive valuation of money, and a golden rule equilibrium in which the rate of interest is equal to population growth (independent of impatience). These properties are shown to derive not from market incompleteness, but from lack of market clearing "at infinity;" they can be eliminated with land or uniform impatience. The OLG model is used to analyze bubbles, social security, demographic effects on stock returns, the foundations of monetary theory, Keynesian vs. real business cycle macromodels, and classical vs. neoclassical disputes.

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Publisher Info
Paper provided by Cowles Foundation, Yale University in its series Cowles Foundation Discussion Papers with number 1663.

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Length: 40 pages
Date of creation: May 2008
Date of revision:
Publication status: Published in Steven N. Durlauf and Lawrence E. Blume, eds., The New Palgrave Dictionary of Economics, 2d ed., 2008
Handle: RePEc:cwl:cwldpp:1663

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Postal: Yale University, Box 208281, New Haven, CT 06520-8281 USA
Phone: (203) 432-3702
Fax: (203) 432-6167
Web page: http://cowles.econ.yale.edu/
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Postal: Cowles Foundation, Yale University, Box 208281, New Haven, CT 06520-8281 USA

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Related research
Keywords: Demography; Inefficiency; Indeterminacy; Money; Bubbles; Cycles; Rate of interest; Impatience; Land; Infinity; Expectations; Social security; Golden rule;

Find related papers by JEL classification:
D1 - Microeconomics - - Household Behavior
D3 - Microeconomics - - Distribution
D5 - Microeconomics - - General Equilibrium and Disequilibrium
D6 - Microeconomics - - Welfare Economics
D9 - Microeconomics - - Intertemporal Choice and Growth
E11 - Macroeconomics and Monetary Economics - - General Aggregative Models - - - Marxian; Sraffian; Institutional; Evolutionary
E12 - Macroeconomics and Monetary Economics - - General Aggregative Models - - - Keynes; Keynesian; Post-Keynesian
E13 - Macroeconomics and Monetary Economics - - General Aggregative Models - - - Neoclassical
E2 - Macroeconomics and Monetary Economics - - Macroeconomics: Consumption, Saving, Production, Employment, and Investment
E3 - Macroeconomics and Monetary Economics - - Prices, Business Fluctuations, and Cycles
E4 - Macroeconomics and Monetary Economics - - Money and Interest Rates
E6 - Macroeconomics and Monetary Economics - - Macroeconomic Policy, Macroeconomic Aspects of Public Finance, and General Outlook

This paper has been announced in the following NEP Reports:

References listed on IDEAS
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. Benhabib, Jess & Nishimura, Kazuo, 1983. "Competitive Equilibrium Cycles," Working Papers 83-30, C.V. Starr Center for Applied Economics, New York University. [Downloadable!]
  2. John Geanakoplos & Donald J. Brown, 1985. "Comparative Statics and Local Indeterminacy in OLG Economies: An Application of the Multiplicative Ergodic Theorem," Cowles Foundation Discussion Papers 773, Cowles Foundation, Yale University. [Downloadable!]
  3. Cass, David & Shell, Karl, 1983. "Do Sunspots Matter?," Journal of Political Economy, University of Chicago Press, vol. 91(2), pages 193-227, April. [Downloadable!] (restricted)
  4. John Geanakoplos & Polemarchakis, Heracles M., 1985. "Walrasian Indeterminacy and Keynesian Macroeconomics," Cowles Foundation Discussion Papers 778, Cowles Foundation, Yale University. [Downloadable!]
  5. Debreu, Gerard, 1970. "Economies with a Finite Set of Equilibria," Econometrica, Econometric Society, vol. 38(3), pages 387-92, May. [Downloadable!] (restricted)
  6. 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)
  7. Cass, David, 1972. "On capital overaccumulation in the aggregative, neoclassical model of economic growth: A complete characterization," Journal of Economic Theory, Elsevier, vol. 4(2), pages 200-223, April. [Downloadable!] (restricted)
  8. Benhabib, Jess & Day, Richard H., 1982. "A characterization of erratic dynamics in, the overlapping generations model," Journal of Economic Dynamics and Control, Elsevier, vol. 4(1), pages 37-55, November. [Downloadable!] (restricted)
  9. Author-Name: John Geanakoplos & Michael Magill & Martine Quinzii, 2004. "Demography and the Long-Run Predictability of the Stock Market," Brookings Papers on Economic Activity, Economic Studies Program, The Brookings Institution, vol. 35(2004-1), pages 241-326. [Downloadable!]
    Other versions:
  10. Chris Shannon & William R. Zame, 2002. "Quadratic Concavity and Determinacy of Equilibrium," Econometrica, Econometric Society, vol. 70(2), pages 631-662, March. [Downloadable!] (restricted)
    Other versions:
  11. Nishimura, Kazuo, 1985. "Competitive equilibrium cycles," Journal of Economic Theory, Elsevier, vol. 35(2), pages 284-306, August. [Downloadable!] (restricted)
  12. 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)
  13. Geanakoplos, J. D. & Polemarchakis, H. M., 1984. "Intertemporally separable, overlapping-generations economies," Journal of Economic Theory, Elsevier, vol. 34(2), pages 207-215, December. [Downloadable!] (restricted)
  14. David Cass & Menahem E. Yaari, 1966. "A Re-examination of the Pure Consumption Loans Model," Journal of Political Economy, University of Chicago Press, vol. 74, pages 353. [Downloadable!] (restricted)
    Other versions:
Full references

Cited by:
(explanations, 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. James Feigenbaum & Frank N. Caliendo & Emin Gahramanov, 2009. "Optimal Irrational Behavior," Working Papers 200901, Utah State University, Department of Economics and Finance. [Downloadable!]
    Other versions:
    • James Feigenbaum & Frank Caliendo & Emin Gahramanov, 2008. "Optimal Irrational Behavior," Working Papers 368, University of Pittsburgh, Department of Economics, revised Sep 2008. [Downloadable!]
    • James Feigenbaum & Frank N. Caliendo & Emin Gahramanov, 2009. "Optimal Irrational Behavior," Economics Series 2009_01, Deakin University, Faculty of Business and Law, School of Accounting, Economics and Finance. [Downloadable!]
  2. Brito, Paulo, 2008. "Equilibrium asset prices and bubbles in a continuous time OLG model," MPRA Paper 10701, University Library of Munich, Germany. [Downloadable!]
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