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Overlapping Generations Model of General Equilibrium

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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, multiplicity, 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 analyse bubbles, social security, demographic effects on stock returns, the foundations of monetary theory, Keynesian vs. real business cycle macromodels, and classical vs. neoclassical disputes.

This chapter was originally published in The New Palgrave Dictionary of Economics, 2nd edition, 2008. Edited by Steven N. Durlauf and Lawrence E. Blume

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Bibliography

  • Allais, M. 1947. Economie et intérêt. Paris: Imprimerie Nationale.

    Google Scholar 

  • Arrow, K.J. 1953. The role of securities in the optimal allocation of risk-bearing. Repr. in K.J. Arrow, Essays in the theory of risk bearing. Chicago: Markham, 1971.

    Google Scholar 

  • Azariadis, C. 1981. Self-fulfilling prophecies. Journal of Economic Theory 25: 380–396.

    Article  Google Scholar 

  • Balasko, Y., and K. Shell. 1980. The overlapping-generations model, I: The case of pure exchange without money. Journal of Economic Theory 23: 281–306.

    Article  Google Scholar 

  • Balasko, Y., D. Cass, and K. Shell. 1980. Existence of competitive equilibrium in a general overlapping-generations model. Journal of Economic Theory 23: 307–322.

    Article  Google Scholar 

  • Benhabib, J., and R.H. Day. 1982. A characterization of erratic dynamics in the overlapping generations model. Journal of Economic Dynamics and Control 4: 37–44.

    Article  Google Scholar 

  • Benhabib, J., and N. Nishimura. 1985. Competitive equilibrium cycles. Journal of Economic Theory 35: 284–306.

    Article  Google Scholar 

  • Benveniste, L., and D. Gale. 1975. An extension of Cass’ characterization of infinite efficient production programs. Journal of Economic Theory 10: 229–238.

    Article  Google Scholar 

  • Bewley, T. 1972. Existence of equilibria in economies with infinitely many commodities. Journal of Economic Theory 4: 514–540.

    Article  Google Scholar 

  • Cass, D. 1972. On capital overaccumulation in the aggregative, nonclassical model of economic growth. Journal of Economic Theory 4: 200–223.

    Article  Google Scholar 

  • Cass, D., and K. Shell. 1983. Do sunspots matter? Journal of Political Economy 91: 183–227.

    Article  Google Scholar 

  • Cass, D., and M.E. Yaari. 1966. A re-examination of the pure consumption loan model. Journal of Political Economy 74: 200–223.

    Article  Google Scholar 

  • Debreu, G. 1970. Economies with a finite set of equilibria. Econometrica 38: 387–392.

    Article  Google Scholar 

  • Diamond, P.A. 1965. National debt in a neo-classical growth model. American Economic Review 55: 1126–1150.

    Google Scholar 

  • Fisher, I. 1907. The rate of interest. New York: Macmillan.

    Google Scholar 

  • Fisher, I. 1930. The theory of interest. New York: Macmillan.

    Google Scholar 

  • Gale, D. 1973. Pure exchange equilibrium of dynamic economic models. Journal of Economic Theory 6: 12–36.

    Article  Google Scholar 

  • Geanakoplos, J. 1978. Sraffa’s Production of Commodities by Means of Commodities: Indeterminacy and suboptimality in neoclassical economics. Working Paper, RIAS. Also Chapter 3 in ‘Four essays on the model of Arrow–Debreu’. Ph. D. thesis, Harvard University, 1980.

    Google Scholar 

  • Geanakoplos, J. 2005. The ideal inflation indexed bond and Irving Fisher’s theory of interest with overlapping generations. In Celebrating Irving Fisher: The legacy of a great economist, ed. R. Dimand and J. Geanakoplos. Oxford: Blackwell. Journal of Economics and Sociology 64: 257–305.

    Google Scholar 

  • Geanakoplos, J., and D. Brown. 1982. Understanding overlapping generations economies as lack of market clearing at infinity. Mimeo, Yale University, revised 1985, 1986.

    Google Scholar 

  • Geanakoplos, J., and D. Brown. 1985. Comparative statics and local indeterminacy in OLG economies: An application of the multiplicative ergodic theorem. Discussion Paper No. 773, Cowles Foundation.

    Google Scholar 

  • Geanakoplos, J., and H.M. Polemarchakis. 1984. Intertemporally separable overlapping generations economies. Journal of Economic Theory 34: 207–215.

    Article  Google Scholar 

  • Geanakoplos, J., and H.M. Polemarchakis. 1985. Walrasian indeterminacy and Keynesian macroeconomics. Review of Economic Studies 53: 755–799.

    Article  Google Scholar 

  • Geanakoplos, J., M. Magill, and M. Quinzi. 2004. Demography and the long-run predictability of the stock market. Brookings Papers on Economic Activity 2004 (1): 241–325.

    Article  Google Scholar 

  • Grandmont, J.M. 1985. Endogenous, competitive business cycles. Econometrica 53: 995–1046.

    Article  Google Scholar 

  • Kehoe, T.J., and D.K. Levine. 1984. Regularity in overlapping generations exchange economies. Journal of Mathematical Economics 13: 69–93.

    Article  Google Scholar 

  • Kehoe, T.J., and D.K. Levine. 1985. Comparative statics and perfect foresight in infinite horizon models. Econometrica 53: 433–453.

    Article  Google Scholar 

  • Kehoe, T.J., D.K. Levine, and P.M. Romer. 1990. Determinacy of equilibrium in dynamic models with finitely many consumers. Journal of Economic Theory 50: 1–21.

    Article  Google Scholar 

  • Keynes, J.M. 1936. The general theory of employment, interest and money. London: Macmillan.

    Google Scholar 

  • Li, T.Y., and J.A. Yorke. 1975. Period three implies chaos. American Mathematical Monthly 8: 985–992.

    Article  Google Scholar 

  • Lucas, R.E. 1972. Expectations and the neutrality of money. Journal of Economic Theory 4: 102–121.

    Article  Google Scholar 

  • Muller, W.J., and M. Woodford. 1988. Determinacy of equilibrium in stationary economies with both finite and infinite lived consumers. Journal of Economic Theory 46: 255–290.

    Article  Google Scholar 

  • Okuno, M., and I. Zilcha. 1980. On the efficiency of a competitive equilibrium in infinite horizon monetary economies. Review of Economic Studies 47: 797–807.

    Article  Google Scholar 

  • Samuelson, P.A. 1958. An exact consumption loan model of interest, with or without the social contrivance of money. Journal of Political Economy 66: 467–482.

    Article  Google Scholar 

  • Shannon, C. 1999. Determinacy of competitive equilibria in economies with many commodities. Economic Theory 14: 29–87.

    Article  Google Scholar 

  • Shannon, C., and B. Zame. 2002. Quadratic concavity and determinacy of equilibrium. Econometrica 70: 631–662.

    Article  Google Scholar 

  • Shell, K. 1971. Notes on the economics of infinity. Journal of Political Economy 79: 1002–1011.

    Article  Google Scholar 

  • Sraffa, P. 1960. Production of commodities by means of commodities. Cambridge: Cambridge University Press.

    Google Scholar 

  • Wilson, C. 1981. Equilibrium in dynamic models with an infinity of agents. Journal of Economic Theory 24: 95–111.

    Article  Google Scholar 

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Geanakoplos, J. (2008). Overlapping Generations Model of General Equilibrium. In: The New Palgrave Dictionary of Economics. Palgrave Macmillan, London. https://doi.org/10.1057/978-1-349-95121-5_1754-2

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  • DOI: https://doi.org/10.1057/978-1-349-95121-5_1754-2

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  • Publisher Name: Palgrave Macmillan, London

  • Online ISBN: 978-1-349-95121-5

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Chapter history

  1. Latest

    Overlapping Generations Model of General Equilibrium
    Published:
    03 April 2017

    DOI: https://doi.org/10.1057/978-1-349-95121-5_1754-2

  2. Original

    Overlapping Generations Model of General Equilibrium
    Published:
    26 November 2016

    DOI: https://doi.org/10.1057/978-1-349-95121-5_1754-1