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Investment for Patience in an Endogenous Growth Model

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  • Taketo Kawagishi

    () (Kyoto University)

Abstract

This paper explores a one-sector AK model in which time preference depends on private investment in future-oriented resources along the lines of Becker and Mulligan (1997). Assuming that time preference is also affected by the social level of such investment and that of consumption, we show that multiple balanced growth path (BGP henceforth) equilibria can exist, and provide the conditions for multiple BGP equilibria. Furthermore, we clarify that the equilibrium path is indeterminate in the high-growth BGP equilibrium, while it is determinate in the low-growth BGP equilibrium. We also discuss the effect of a subsidy policy to private investment in future-oriented resources on an endogenous growth rate.

Suggested Citation

  • Taketo Kawagishi, 2012. "Investment for Patience in an Endogenous Growth Model," KIER Working Papers 814, Kyoto University, Institute of Economic Research.
  • Handle: RePEc:kyo:wpaper:814
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    File URL: http://www.kier.kyoto-u.ac.jp/DP/DP814.pdf
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    References listed on IDEAS

    as
    1. Gary S. Becker & Casey B. Mulligan, 1997. "The Endogenous Determination of Time Preference," The Quarterly Journal of Economics, Oxford University Press, vol. 112(3), pages 729-758.
    2. Bian, Yong & Meng, Qinglai, 2004. "Preferences, endogenous discount rate, and indeterminacy in a small open economy model," Economics Letters, Elsevier, vol. 84(3), pages 315-322, September.
    3. Meng, Qinglai, 2006. "Impatience and equilibrium indeterminacy," Journal of Economic Dynamics and Control, Elsevier, vol. 30(12), pages 2671-2692, December.
    4. Fumio Hayashi, 1985. "The Permanent Income Hypothesis and Consumption Durability: Analysis Based on Japanese Panel Data," The Quarterly Journal of Economics, Oxford University Press, vol. 100(4), pages 1083-1113.
    5. Palivos, Theodore & Wang, Ping & Zhang, Jianbo, 1997. "On the Existence of Balanced Growth Equilibrium," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 38(1), pages 205-224, February.
    6. Epstein, Larry G., 1983. "Stationary cardinal utility and optimal growth under uncertainty," Journal of Economic Theory, Elsevier, vol. 31(1), pages 133-152, October.
    7. Epstein, Larry G., 1987. "A simple dynamic general equilibrium model," Journal of Economic Theory, Elsevier, vol. 41(1), pages 68-95, February.
    8. Heaton, John, 1993. "The Interaction between Time-Nonseparable Preferences and Time Aggregation," Econometrica, Econometric Society, vol. 61(2), pages 353-385, March.
    Full references (including those not matched with items on IDEAS)

    More about this item

    Keywords

    One-sector AK model; Endogenous time preference; Multiple balanced growth path equilibria; Subsidy policy;

    JEL classification:

    • E32 - Macroeconomics and Monetary Economics - - Prices, Business Fluctuations, and Cycles - - - Business Fluctuations; Cycles
    • H23 - Public Economics - - Taxation, Subsidies, and Revenue - - - Externalities; Redistributive Effects; Environmental Taxes and Subsidies
    • O40 - Economic Development, Innovation, Technological Change, and Growth - - Economic Growth and Aggregate Productivity - - - General

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