IDEAS home Printed from https://ideas.repec.org/p/ces/ceswps/_7845.html
   My bibliography  Save this paper

Growth and Long-Run Sustainability

Author

Listed:
  • Robert D. Cairns
  • Vincent Martinet

Abstract

From any state of economic and environmental assets, the maximin value defines the highest level of utility that can be sustained forever. Along any development path, the maximin value evolves over time according to investment decisions. If the current level of utility is lower than this value, there is room for growth of both the utility level and the maximin value. For any resource allocation mechanism (ram) and economic dynamics, growth is limited by the long-run level of the maximin value, which is an endogenous dynamic sustainability constraint. If utility reaches this limit, sustainability imposes growth to stop, and the adoption of maximin decisions instead of the current ram. We illustrate this pattern in two canonical models, the simple fishery and a two-sector economy with a nonrenewable resource. We discuss what our results imply for the assessment of sustainability in the short- and the long-run in non-optimal economies.

Suggested Citation

  • Robert D. Cairns & Vincent Martinet, 2019. "Growth and Long-Run Sustainability," CESifo Working Paper Series 7845, CESifo.
  • Handle: RePEc:ces:ceswps:_7845
    as

    Download full text from publisher

    File URL: https://www.cesifo.org/DocDL/cesifo1_wp7845.pdf
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Singh, Rajesh & Weninger, Quinn & Doyle, Matthew, 2006. "Fisheries management with stock growth uncertainty and costly capital adjustment," Journal of Environmental Economics and Management, Elsevier, vol. 52(2), pages 582-599, September.
    2. Cairns, Robert D. & Del Campo, Stellio & Martinet, Vincent, 2019. "Sustainability of an economy relying on two reproducible assets," Journal of Economic Dynamics and Control, Elsevier, vol. 101(C), pages 145-160.
    3. Mitra, Tapan & Asheim, Geir B. & Buchholz, Wolfgang & Withagen, Cees, 2013. "Characterizing the sustainability problem in an exhaustible resource model," Journal of Economic Theory, Elsevier, vol. 148(5), pages 2164-2182.
    4. Martinet, Vincent & Rotillon, Gilles, 2007. "Invariance in growth theory and sustainable development," Journal of Economic Dynamics and Control, Elsevier, vol. 31(8), pages 2827-2846, August.
    5. Kenneth Arrow & Partha Dasgupta & Karl-Göran Mäler, 2003. "Evaluating Projects and Assessing Sustainable Development in Imperfect Economies," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 26(4), pages 647-685, December.
    6. Llavador, Humberto & Roemer, John E. & Silvestre, Joaquim, 2011. "“A dynamic analysis of human welfare in a warming planet”," Journal of Public Economics, Elsevier, vol. 95(11), pages 1607-1620.
    7. Cairns, Robert D. & Long, Ngo Van, 2006. "Maximin: a direct approach to sustainability," Environment and Development Economics, Cambridge University Press, vol. 11(3), pages 275-300, June.
    8. Antoine d’Autume & Katheline Schubert, 2008. "Zero discounting and optimal paths of depletion of an exhaustible resource with an amenity value," Revue d'économie politique, Dalloz, vol. 118(6), pages 827-845.
    9. Pezzey, John C.V., 2004. "Exact measures of income in a hyperbolic economy," Environment and Development Economics, Cambridge University Press, vol. 9(4), pages 473-484, August.
    10. Doyen, L. & Martinet, V., 2012. "Maximin, viability and sustainability," Journal of Economic Dynamics and Control, Elsevier, vol. 36(9), pages 1414-1430.
    11. Martinet, Vincent, 2007. "A step beside the maximin path: Can we sustain the economy by following Hartwick's investment rule?," Ecological Economics, Elsevier, vol. 64(1), pages 103-108, October.
    12. R. M. Solow, 1974. "Intergenerational Equity and Exhaustible Resources," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 41(5), pages 29-45.
    13. World Bank, 2011. "The Changing Wealth of Nations : Measuring Sustainable Development in the New Millennium," World Bank Publications - Books, The World Bank Group, number 2252, December.
    14. Fleurbaey, Marc, 2015. "On sustainability and social welfare," Journal of Environmental Economics and Management, Elsevier, vol. 71(C), pages 34-53.
    15. Loewenstein, George F & Sicherman, Nachum, 1991. "Do Workers Prefer Increasing Wage Profiles?," Journal of Labor Economics, University of Chicago Press, vol. 9(1), pages 67-84, January.
    16. Geir B. Asheim & Wolfgang Buchholz, 2004. "A General Approach to Welfare Measurement through National Income Accounting," Scandinavian Journal of Economics, Wiley Blackwell, vol. 106(2), pages 361-384, June.
    17. Asheim, Geir B., 2007. "Can NNP be used for welfare comparisons?," Environment and Development Economics, Cambridge University Press, vol. 12(1), pages 11-31, February.
    18. Antoine d’Autume & Katheline Schubert, 2008. "Zero discounting and optimal paths of depletion of an exhaustible resource with an amenity value," Revue d'économie politique, Dalloz, vol. 118(6), pages 827-845.
    19. Geir B. Asheim, 2011. "Comparing the welfare of growing economies," Revue d'économie politique, Dalloz, vol. 121(1), pages 59-72.
    20. Asheim, Geir B. & Weitzman, Martin L., 2001. "Does NNP growth indicate welfare improvement?," Economics Letters, Elsevier, vol. 73(2), pages 233-239, November.
    21. Joseph Stiglitz, 1974. "Growth with Exhaustible Natural Resources: Efficient and Optimal Growth Paths," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 41(5), pages 123-137.
    22. Asheim, Geir B., 2000. "Green national accounting: why and how?," Environment and Development Economics, Cambridge University Press, vol. 5(1), pages 25-48, February.
    23. Geir B. Asheim, 2003. "Green national accounting for welfare and sustainability:A Taxonomy Of Assumptions And Results," Scottish Journal of Political Economy, Scottish Economic Society, vol. 50(2), pages 113-130, May.
    24. Partha Dasgupta & Geoffrey Heal, 1974. "The Optimal Depletion of Exhaustible Resources," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 41(5), pages 3-28.
    25. Cairns, Robert D. & Martinet, Vincent, 2014. "An environmental-economic measure of sustainable development," European Economic Review, Elsevier, vol. 69(C), pages 4-17.
    26. Graciela Chichilnisky, 1996. "An axiomatic approach to sustainable development," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 13(2), pages 231-257, April.
    27. Hartwick, John M, 1977. "Intergenerational Equity and the Investing of Rents from Exhaustible Resources," American Economic Review, American Economic Association, vol. 67(5), pages 972-974, December.
    28. Burmeister, Edwin & Hammond, P J, 1977. "Maximin Paths of Heterogeneous Capital Accumulation and the Instability of Paradoxical Steady States," Econometrica, Econometric Society, vol. 45(4), pages 853-870, May.
    29. Asheim, Geir B. & Buchholz, Wolfgang & Hartwick, John M. & Mitra, Tapan & Withagen, Cees, 2007. "Constant savings rates and quasi-arithmetic population growth under exhaustible resource constraints," Journal of Environmental Economics and Management, Elsevier, vol. 53(2), pages 213-229, March.
    30. Dasgupta, Partha & Mã„Ler, Karl-Gã–Ran, 2000. "Net national product, wealth, and social well-being," Environment and Development Economics, Cambridge University Press, vol. 5(1), pages 69-93, February.
    31. Cairns, Robert D. & Del Campo, Stellio & Martinet, Vincent, 2019. "Sustainability of an economy relying on two reproducible assets," Journal of Economic Dynamics and Control, Elsevier, vol. 101(C), pages 145-160.
    32. John C. V. Pezzey, 1997. "Sustainability Constraints versus "Optimality" versus Intertemporal Concern, and Axioms versus Data," Land Economics, University of Wisconsin Press, vol. 73(4), pages 448-466.
    33. Ayumi Onuma, 1999. "Sustainable consumption, sustainable development, and green net national product," Environmental Economics and Policy Studies, Springer;Society for Environmental Economics and Policy Studies - SEEPS, vol. 2(3), pages 187-197, September.
    34. Cairns, Robert D. & Tian, Huilan, 2010. "Sustained development of a society with a renewable resource," Journal of Economic Dynamics and Control, Elsevier, vol. 34(6), pages 1048-1061, June.
    35. Hannesson, Rognvaldur & Steinshamn, Stein Ivar, 1991. "How to set catch quotas: Constant effort or constant catch?," Journal of Environmental Economics and Management, Elsevier, vol. 20(1), pages 71-91, January.
    36. Doyle, Matthew & Singh, Rajesh & Weninger, Quinn, 2006. "Fisheries Management with Stock Uncertainty and Costly Capital Adjustment," Staff General Research Papers Archive 12770, Iowa State University, Department of Economics.
    37. Frank, Robert H. & Hutchens, Robert M., 1993. "Wages, seniority, and the demand for rising consumption profiles," Journal of Economic Behavior & Organization, Elsevier, vol. 21(3), pages 251-276, August.
    38. Quiggin, John, 1992. "How to set catch quotas: A note on the superiority of constant effort rules," Journal of Environmental Economics and Management, Elsevier, vol. 22(2), pages 199-203, March.
    39. Kirk Hamilton & Cees Withagen, 2007. "Savings growth and the path of utility," Canadian Journal of Economics, Canadian Economics Association, vol. 40(2), pages 703-713, May.
    40. Solow, Robert, 1993. "An almost practical step toward sustainability," Resources Policy, Elsevier, vol. 19(3), pages 162-172, September.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Bazhanov, Andrei V., 2022. "Extraction path and sustainability," Resources Policy, Elsevier, vol. 76(C).
    2. Antony, Jürgen & Klarl, Torben, 2022. "Poverty and sustainable development around the world during transition periods," Energy Economics, Elsevier, vol. 110(C).
    3. Alan Randall, 2021. "Resource Scarcity and Sustainability—The Shapes Have Shifted but the Stakes Keep Rising," Sustainability, MDPI, vol. 13(10), pages 1-16, May.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Cairns, Robert D. & Martinet, Vincent, 2014. "An environmental-economic measure of sustainable development," European Economic Review, Elsevier, vol. 69(C), pages 4-17.
    2. Cairns, Robert D. & Del Campo, Stellio & Martinet, Vincent, 2019. "Sustainability of an economy relying on two reproducible assets," Journal of Economic Dynamics and Control, Elsevier, vol. 101(C), pages 145-160.
    3. Martinet, Vincent & Del Campo, Stellio & Cairns, Robert D., 2022. "Intragenerational inequality aversion and intergenerational equity," EconStor Open Access Articles and Book Chapters, ZBW - Leibniz Information Centre for Economics, issue forthcomi.
    4. Doyen, L. & Martinet, V., 2012. "Maximin, viability and sustainability," Journal of Economic Dynamics and Control, Elsevier, vol. 36(9), pages 1414-1430.
    5. Asheim, Geir B. & Hartwick, John M. & Mitra, Tapan, 2021. "Investment rules and time invariance under population growth," Journal of Economic Dynamics and Control, Elsevier, vol. 123(C).
    6. Nick Hanley & Louis Dupuy & Eoin McLaughlin, 2015. "Genuine Savings And Sustainability," Journal of Economic Surveys, Wiley Blackwell, vol. 29(4), pages 779-806, September.
    7. Toman, Michael & Pezzey, John C., 2002. "The Economics of Sustainability: A Review of Journal Articles," RFF Working Paper Series dp-02-03, Resources for the Future.
    8. Geir B. Asheim, 2003. "Green national accounting for welfare and sustainability:A Taxonomy Of Assumptions And Results," Scottish Journal of Political Economy, Scottish Economic Society, vol. 50(2), pages 113-130, May.
    9. Fleurbaey, Marc, 2015. "On sustainability and social welfare," Journal of Environmental Economics and Management, Elsevier, vol. 71(C), pages 34-53.
    10. Verchère, Alban, 2011. "Le développement durable en question : analyses économiques autour d’un improbable compromis entre acceptions optimiste et pessimiste du rapport de l’Homme à la Nature," L'Actualité Economique, Société Canadienne de Science Economique, vol. 87(3), pages 337-403, septembre.
    11. Mitra, Tapan & Asheim, Geir B. & Buchholz, Wolfgang & Withagen, Cees, 2013. "Characterizing the sustainability problem in an exhaustible resource model," Journal of Economic Theory, Elsevier, vol. 148(5), pages 2164-2182.
    12. Bazhanov, A., 2011. "The Dependence of the Potential Sustainability of a Resource Economy on the Initial State: a Comparison of Models Using the Example of Russian Oil Extraction," Journal of the New Economic Association, New Economic Association, issue 12, pages 77-100.
    13. Bazhanov, Andrei V., 2015. "Inefficiency and sustainability," Resources Policy, Elsevier, vol. 45(C), pages 210-216.
    14. Bazhanov, Andrei, 2011. "Зависимость Долгосрочного Роста Ресурсной Экономики От Начального Состояния: Сравнение Моделей На Примере Российской Нефтедобычи [The dependence of the potential sustainability of a resource econom," MPRA Paper 35888, University Library of Munich, Germany.
    15. Bazhanov, Andrei V., 2022. "Extraction path and sustainability," Resources Policy, Elsevier, vol. 76(C).
    16. Bazhanov, Andrei, 2008. "Sustainable growth in a resource-based economy: the extraction-saving relationship," MPRA Paper 12350, University Library of Munich, Germany.
    17. Robert D. Cairns, 2011. "Accounting for Sustainability: A Dissenting Opinion," Sustainability, MDPI, vol. 3(9), pages 1-16, August.
    18. Bazhanov, Andrei V., 2022. "A comment on Hamilton (2016) “Measuring sustainability in the UN System of Environmental-Economic Accounting”," Resources Policy, Elsevier, vol. 76(C).
    19. Bazhanov, Andrei V., 2013. "Constant-utility paths in a resource-based economy," Resource and Energy Economics, Elsevier, vol. 35(3), pages 342-355.
    20. Geir B. Asheim & Tapan Mitra, 2021. "Characterizing sustainability in discrete time," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 71(2), pages 461-481, March.

    More about this item

    Keywords

    sustainable development; sacrifice; growth; maximin value; sustainability improvement; resource allocation mechanism; non-optimal economies;
    All these keywords.

    JEL classification:

    • O44 - Economic Development, Innovation, Technological Change, and Growth - - Economic Growth and Aggregate Productivity - - - Environment and Growth
    • Q56 - Agricultural and Natural Resource Economics; Environmental and Ecological Economics - - Environmental Economics - - - Environment and Development; Environment and Trade; Sustainability; Environmental Accounts and Accounting; Environmental Equity; Population Growth

    NEP fields

    This paper has been announced in the following NEP Reports:

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:ces:ceswps:_7845. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Klaus Wohlrabe (email available below). General contact details of provider: https://edirc.repec.org/data/cesifde.html .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.