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Stochastic Growth When Utility Depends on Both Consumption and the Stock Level

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  • Nyarko, Yaw
  • Olson, Lars J

Abstract

This paper examines the dynamic behavior of optimal consumption and investment policies in the aggregate stochastic growth model when utility depends on both consumption and the stock level. Such models arise in the study of renewable resources, monetary growth, and growth with public capital. The paper shows that there is a global convergence of optimal policies to a unique stationary distribution if (a) there is sufficient complementarity in the model, or (b) if there is sufficient randomness in production. Two examples illustrate the possibility of multiple stationary distributions. In one, multiple stochastic steady states exist for a generic class of production and utility functions.

Suggested Citation

  • 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.
    • Handle: RePEc:spr:joecth:v:4:y:1994:i:5:p:791-97
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    Cited by:

    1. Lars J. Olson & Santanu Roy, 2006. "Theory of Stochastic Optimal Economic Growth," Springer Books, in: Rose-Anne Dana & Cuong Le Van & Tapan Mitra & Kazuo Nishimura (ed.), Handbook on Optimal Growth 1, chapter 11, pages 297-335, Springer.
    2. 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.
    3. Lars Olson & Santanu Roy, 2008. "Controlling a biological invasion: a non-classical dynamic economic model," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 36(3), pages 453-469, September.
    4. Olson, Lars J., 1995. "Dynamic Economic Models with Uncertainty and Irreversibility: Methods and Applications," Working Papers 197822, University of Maryland, Department of Agricultural and Resource Economics.
    5. Johnson Kakeu, 2023. "Concerns for Long-Run Risks and Natural Resource Policy," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 84(4), pages 1051-1093, April.
    6. 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.
    7. Gregory Amacher & Markku Ollikainen & Mikko Puhakka, 2018. "Renewable Resource Use and Nonseparable Amenity Benefits," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 69(4), pages 637-659, April.

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