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

  • MERTENS, Jean-François

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



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

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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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
Date of revision:
Handle: RePEc:cor:louvco:2012032
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  1. 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.
  2. 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).
  3. Mertens, Jean-François & Rubinchik, Anna, 2012. "Intergenerational Equity And The Discount Rate For Policy Analysis," Macroeconomic Dynamics, Cambridge University Press, vol. 16(01), pages 61-93, February.
  4. Fleurbaey,Marc & Maniquet,François, 2011. "A Theory of Fairness and Social Welfare," Cambridge Books, Cambridge University Press, number 9780521887427.
  5. MERTENS, Jean-François & RUBINCHIK, Anna, 2009. "Regularity and stability of equilibria in an overlapping generations model with exogenous growth," CORE Discussion Papers 2009005, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  6. Kehoe, Timothy J & Levine, David K, 1985. "Comparative Statics and Perfect Foresight in Infinite Horizon Economies," Econometrica, Econometric Society, vol. 53(2), pages 433-53, March.
  7. 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.
  8. 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.
  9. 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.
  10. 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.
  11. Mertens, Jean-Francois & Rubinchik, Anna, . "Separate control over the local and the asymptotic behaviour in L_p spaces," Working Papers WP2011/1, University of Haifa, Department of Economics, revised 26 Jan 2011.
  12. 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.
  13. repec:cor:louvrp:-2438 is not listed on IDEAS
  14. Hippolyte d'Albis & Emmanuelle Augeraud-Veron, 2004. "Competitive growth in a life-cycle model : existence and dynamics," Cahiers de la Maison des Sciences Economiques v04016, Université Panthéon-Sorbonne (Paris 1).
  15. 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.
  16. 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, July.
  17. Gale, David, 1973. "Pure exchange equilibrium of dynamic economic models," Journal of Economic Theory, Elsevier, vol. 6(1), pages 12-36, February.
  18. Antoine Bommier & Ronald D. Lee, 2003. "Overlapping generations models with realistic demography," Journal of Population Economics, Springer, vol. 16(1), pages 135-160, 02.
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