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On sustained economic growth with wealth effects

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  • Santanu Roy

Abstract

In a discounted one‐sector convex model of optimal economic growth where utility may depend on both consumption and capital stock, I derive necessary and sufficient conditions for sustained growth (unbounded expansion of capital and consumption). Conditions for bounded growth and extinction are also outlined. Optimal paths may be non‐monotone. Sustained growth may occur even though the asymptotic marginal productivity is less than the discount rate and may require the initial capital stock to be above a critical level. The behavior of the marginal rate of substitution between consumption and capital plays a crucial role in the conditions.

Suggested Citation

  • Santanu Roy, 2010. "On sustained economic growth with wealth effects," International Journal of Economic Theory, The International Society for Economic Theory, vol. 6(1), pages 29-45, March.
    • Handle: RePEc:bla:ijethy:v:6:y:2010:i:1:p:29-45
    DOI: 10.1111/j.1742-7363.2009.00120.x
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    1. Zou, Heng-fu, 1994. "'The spirit of capitalism' and long-run growth," European Journal of Political Economy, Elsevier, vol. 10(2), pages 279-293, July.
    2. Dolmas, Jim, 1996. "Endogenous Growth in Multisector Ramsey Models," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 37(2), pages 403-421, May.
    3. Larry E. Jones & Rodolfo Manuelli, 1990. "A Convex Model of Equilibrium Growth," NBER Working Papers 3241, National Bureau of Economic Research, Inc.
    4. Nyarko, Yaw & Olson, Lars J., 1991. "Stochastic dynamic models with stock-dependent rewards," Journal of Economic Theory, Elsevier, vol. 55(1), pages 161-168, October.
    5. D. McFadden, 1967. "The Evaluation of Development Programmes," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 34(1), pages 25-50.
    6. Olson, Lars J. & Roy, Santanu, 1996. "On Conservation of Renewable Resources with Stock-Dependent Return and Nonconcave Production," Journal of Economic Theory, Elsevier, vol. 70(1), pages 133-157, July.
    7. Jones, Larry E & Manuelli, Rodolfo E, 1990. "A Convex Model of Equilibrium Growth: Theory and Policy Implications," Journal of Political Economy, University of Chicago Press, vol. 98(5), pages 1008-1038, October.
    8. Rebelo, Sergio, 1991. "Long-Run Policy Analysis and Long-Run Growth," Journal of Political Economy, University of Chicago Press, vol. 99(3), pages 500-521, June.
    9. de Hek, Paul & Roy, Santanu, 2001. "On Sustained Growth under Uncertainty," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 42(3), pages 801-813, August.
    10. Majumdar, Mukul & Mitra, Tapan, 1994. "Periodic and Chaotic Programs of Optimal Intertemporal Allocation in an Aggregative Model with Wealth Effects," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 4(5), pages 649-676, August.
    11. Le Van, Cuong & Vailakis, Yiannis, 2005. "Recursive utility and optimal growth with bounded or unbounded returns," Journal of Economic Theory, Elsevier, vol. 123(2), pages 187-209, August.
    12. Le Van, Cuong & Morhaim, Lisa, 2002. "Optimal Growth Models with Bounded or Unbounded Returns: A Unifying Approach," Journal of Economic Theory, Elsevier, vol. 105(1), pages 158-187, July.
    13. Franz Wirl, 1994. "The ramsey model revisited: The optimality of cyclical consumption and growth," Journal of Economics, Springer, vol. 60(1), pages 81-98, February.
    14. Nyarko, Yaw & Olson, Lars J, 1994. "Stochastic Growth When Utility Depends on Both Consumption and the Stock Level," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 4(5), pages 791-797, August.
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    Cited by:

    1. Ha-Huy, Thai & Tran, Nhat-Thien, 2019. "A simple characterization for sustained growth," MPRA Paper 94576, University Library of Munich, Germany.
    2. Zaifu Yang & Rong Zhang, 2021. "Generalized Cumulative Offer Processes," Discussion Papers 21/08, Department of Economics, University of York.
    3. Zaifu Yang & Rong Zhang, 2024. "Consumption, Wealth, Frugality, and Economic Growth," Annals of Economics and Finance, Society for AEF, vol. 25(1), pages 31-61, May.
    4. Ha-Huy, Thai & Tran, Nhat Thien, 2020. "A simple characterisation for sustained growth," Journal of Mathematical Economics, Elsevier, vol. 91(C), pages 141-147.

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