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Existence and Efficiency of Stationary States in a Renewable Resource Based OLG Model with Different Harvest Costs

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  • Farmer Karl

    (University of Graz, Graz, Austria)

  • Bednar-Friedl Birgit

    (University of Graz, Graz, Austria)

Abstract

In a renewable resource based overlapping generations (OLG) model without harvest costs, a complex combination of the time discount factor, the resource production share, and the natural regeneration rate ensure the existence of a stationary market equilibrium and its intergenerational efficiency when the own rate of return on natural capital is positive. This paper investigates to what extent previous findings carry over to an OLG economy with two types of unit harvest costs (constant, inverse stock dependent) arising from the competition for labor between resource harvesting and resource processing. In contrast to the model without harvest cost, we show why large unit harvest costs, surprisingly, do not require a complex combination of basic parameters for the existence of a stationary state, and that in the model with stock dependent costs intergenerational efficiency might occur even when the own rate of return on natural capital is negative.

Suggested Citation

  • Farmer Karl & Bednar-Friedl Birgit, 2017. "Existence and Efficiency of Stationary States in a Renewable Resource Based OLG Model with Different Harvest Costs," Studia Universitatis Babeș-Bolyai Oeconomica, Sciendo, vol. 62(3), pages 3-32, December.
    • Handle: RePEc:vrs:subboe:v:62:y:2017:i:3:p:3-32:n:1
    DOI: 10.1515/subboec-2017-0011
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    1. Galor, Oded & Ryder, Harl E., 1989. "Existence, uniqueness, and stability of equilibrium in an overlapping-generations model with productive capital," Journal of Economic Theory, Elsevier, vol. 49(2), pages 360-375, December.
    2. Eliasson, Ludvik & Turnovsky, Stephen J., 2004. "Renewable resources in an endogenously growing economy: balanced growth and transitional dynamics," Journal of Environmental Economics and Management, Elsevier, vol. 48(3), pages 1018-1049, November.
    3. Valente, Simone, 2008. "Intergenerational transfers, lifetime welfare, and resource preservation," Environment and Development Economics, Cambridge University Press, vol. 13(1), pages 53-78, February.
    4. Gardner Brown, 2000. "Renewable Natural Resource Management and Use Without Markets," Working Papers 0025, University of Washington, Department of Economics.
    5. Larry Karp & Armon Rezai, 2014. "The Political Economy Of Environmental Policy With Overlapping Generations," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 55, pages 711-733, 08.
    6. Lloyd-Braga, Teresa & Nourry, Carine & Venditti, Alain, 2007. "Indeterminacy in dynamic models: When Diamond meets Ramsey," Journal of Economic Theory, Elsevier, vol. 134(1), pages 513-536, May.
    7. Karl Farmer, 2000. "Intergenerational natural-capital equality in an overlapping-generations model with logistic regeneration," Journal of Economics, Springer, vol. 72(2), pages 129-152, June.
    8. 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.
    9. Gardner M. Brown, 2000. "Renewable Natural Resource Management and Use without Markets," Journal of Economic Literature, American Economic Association, vol. 38(4), pages 875-914, December.
    10. Mourmouras, Alex, 1991. " Competitive Equilibria and Sustainable Growth in a Life-Cycle Model with Natural Resources," Scandinavian Journal of Economics, Wiley Blackwell, vol. 93(4), pages 585-591.
    11. Bréchet, Thierry & Lambrecht, Stéphane, 2011. "Renewable resource and capital with a joy-of-giving resource bequest motive," Resource and Energy Economics, Elsevier, vol. 33(4), pages 981-994.
    12. Heaps, Terry & Neher, Philip A., 1979. "The economics of forestry when the rate of harvest is constrained," Journal of Environmental Economics and Management, Elsevier, vol. 6(4), pages 297-319, December.
    13. de la Croix,David & Michel,Philippe, 2002. "A Theory of Economic Growth," Cambridge Books, Cambridge University Press, number 9780521001151, January.
    14. Koskela, Erkki & Ollikainen, Markku & Puhakka, Mikko, 2002. "Renewable Resources in an Overlapping Generations Economy Without Capital," Journal of Environmental Economics and Management, Elsevier, vol. 43(3), pages 497-517, May.
    15. Olson, Lars J. & Knapp, Keith C., 1997. "Exhaustible Resource Allocation in an Overlapping Generations Economy," Journal of Environmental Economics and Management, Elsevier, vol. 32(3), pages 277-292, March.
    16. Birgit Bednar-Friedl & Karl Farmer, 2013. "Time consuming resource extraction in an overlapping generations economy with capital," Journal of Economics, Springer, vol. 110(3), pages 203-224, November.
    17. Shell, Karl, 1971. "Notes on the Economics of Infinity," Journal of Political Economy, University of Chicago Press, vol. 79(5), pages 1002-1011, Sept.-Oct.
    18. Kerry Krutilla & Rafael Reuveny, 2004. "A Renewable Resource-based Ramsey Model with Costly Resource Extraction," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 27(2), pages 165-185, February.
    19. Gardner Brown, 2000. "Renewable Natural Resource Management and Use Without Markets," Discussion Papers in Economics at the University of Washington 0025, Department of Economics at the University of Washington.
    20. Levhari, David & Michener, Ron & Mirman, Leonard J, 1981. "Dynamic Programming Models of Fishing: Competition," American Economic Review, American Economic Association, vol. 71(4), pages 649-661, September.
    21. Richard B. Howarth & Richard B. Norgaard, 1990. "Intergenerational Resource Rights, Efficiency, and Social Optimality," Land Economics, University of Wisconsin Press, vol. 66(1), pages 1-11.
    22. Jeffrey A. Krautkraemer & JRaymond G. Batina, 1999. "On Sustainability and Intergenerational Transfers with a Renewable Resource," Land Economics, University of Wisconsin Press, vol. 75(2), pages 167-184.
    23. Clark, Colin W. & Munro, Gordon R., 1975. "The economics of fishing and modern capital theory: A simplified approach," Journal of Environmental Economics and Management, Elsevier, vol. 2(2), pages 92-106, December.
    24. Anthony Scott, 1955. "The Fishery: The Objectives of Sole Ownership," Journal of Political Economy, University of Chicago Press, vol. 63, pages 116-116.
    25. Trond Bjørndal & Jon M. Conrad & Kjell G. Salvanes, 1993. "Stock Size, Harvesting Costs, and the Potential for Extinction: The Case of Sealing," Land Economics, University of Wisconsin Press, vol. 69(2), pages 156-167.
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    Cited by:

    1. David DESMARCHELIER & Rémi GIRARD, 2022. "Renewable resource and harvesting cost in a simple monetary overlapping generation economy," Working Papers of BETA 2022-32, Bureau d'Economie Théorique et Appliquée, UDS, Strasbourg.

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    More about this item

    Keywords

    Renewable resources; harvest costs; overlapping generations; existence; intergenerational efficiency;
    All these keywords.

    JEL classification:

    • C62 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Existence and Stability Conditions of Equilibrium
    • D90 - Microeconomics - - Micro-Based Behavioral Economics - - - General
    • Q20 - Agricultural and Natural Resource Economics; Environmental and Ecological Economics - - Renewable Resources and Conservation - - - General

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