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Equilibria in an overlapping generations model with transfer policies and exogenous growth

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  • MERTENS, Jean-François

    (Université catholique de Louvain, CORE, B-1348 Louvain-la-Neuve, Belgium.)

  • RUBINCHIK, Anna

    ()
    (University of Haifa, Department of Economics, Israel.)

Abstract

For an overlapping generations economy with varying life-cycle productivity, non-stationary endowments, continuous time starting at _∞ (hence allowing for full anticipation), constant-returns-to-scale production and CES utility we fully characterise equilibria where output is higher than investment, which is strictly positive. Net assets (aggregate savings minus the value of the capital stock) are constant in any equilibrium, and, for balanced growth equilibria (BGE, defined for an economy with stationary endowments), net assets are non-zero only in the golden rule equilibrium, in accord with [13]. The number of BGE is finite. Their parity, however, depends on the life-cycle productivity, in particular, on the relation between the intertemporal elasticity of substitution, the minimal working age and the minimal tax age.

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Bibliographic Info

Paper provided by Université catholique de Louvain, Center for Operations Research and Econometrics (CORE) in its series CORE Discussion Papers with number 2012032.

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Date of creation: 14 Sep 2012
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Handle: RePEc:cor:louvco:2012032

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Keywords: infinite economies; overlapping generations; exogenous growth;

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  1. Hippolyte d’Albis & Emmanuelle Augeraud-Véron, 2007. "Balanced cycles in an OLG model with a continuum of finitely-lived individuals," Economic Theory, Springer, vol. 30(1), pages 181-186, January.
  2. Subir K. Chattopadhyay, 1996. "Pareto optimal improvements for sunspots: The golden rule as a target for stabilization," Economic Theory, Springer, vol. 8(1), pages 123-135.
  3. Kehoe, Timothy J. & Levine, David K., 1984. "Regularity in overlapping generations exchange economies," Journal of Mathematical Economics, Elsevier, vol. 13(1), pages 69-93, April.
  4. Burke, Jonathan L., 1990. "A benchmark for comparative dynamics and determinacy in overlapping-generations economies," Journal of Economic Theory, Elsevier, vol. 52(2), pages 268-303, December.
  5. Antoine Bommier & Ronald D. Lee, 2003. "Overlapping generations models with realistic demography," Journal of Population Economics, Springer, vol. 16(1), pages 135-160, 02.
  6. Hippolyte D'Albis & Emmanuelle Augeraud-Véron, 2009. "Competitive Growth in a Life-cycle Model: Existence and Dynamics," Post-Print hal-00630459, HAL.
  7. MERTENS, Jean-François & RUBINCHIK, Anna, . "Intergenerational equity and the discount rate for policy analysis," CORE Discussion Papers RP -2438, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  8. Fleurbaey,Marc & Maniquet,François, 2011. "A Theory of Fairness and Social Welfare," Cambridge Books, Cambridge University Press, number 9780521715348, October.
  9. T. J. Kehoe & D. K. Levine, 1982. "Comparative Statics and Perfect Foresight in Infinite Horizon Economies," Working papers 312, Massachusetts Institute of Technology (MIT), Department of Economics.
  10. Gaertner,Wulf & Schokkaert,Erik, 2011. "Empirical Social Choice," Cambridge Books, Cambridge University Press, number 9781107013940, October.
  11. Gale, David, 1973. "Pure exchange equilibrium of dynamic economic models," Journal of Economic Theory, Elsevier, vol. 6(1), pages 12-36, February.
  12. 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.
  13. Chattopadhyay, Subir K, 1996. "Pareto Optimal Improvements for Sunspots: The Golden Rule as a Target for Stabilization," Economic Theory, Springer, vol. 8(1), pages 123-35, June.
  14. Gan, Zhuojiong & Lau, Sau-Him Paul, 2010. "Demographic structure and overlapping generations: A simpler proof with more general conditions," Journal of Mathematical Economics, Elsevier, vol. 46(3), pages 311-319, May.
  15. Duranton, Gilles & Martin, Philippe & Mayer, Thierry & Mayneris, Florian, 2010. "The Economics of Clusters: Lessons from the French Experience," OUP Catalogue, Oxford University Press, number 9780199592203.
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Cited by:
  1. MERTENS, Jean-François & RUBINCHIK, Anna, 2012. "Pareto optimality of the golden rule equilibrium in an overlapping generations model with production and transfers," CORE Discussion Papers 2012033, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  2. Mertens, Jean-François & Rubinchik, Anna, 2014. "Essential properties of Lp,q spaces (the amalgams) and the implicit function theorem for equilibrium analysis in continuous time," Journal of Mathematical Economics, Elsevier, vol. 50(C), pages 187-196.

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