IDEAS home Printed from https://ideas.repec.org/a/eee/dyncon/v36y2012i9p1414-1430.html
   My bibliography  Save this article

Maximin, viability and sustainability

Author

Listed:
  • Doyen, L.
  • Martinet, V.

Abstract

The maximin criterion defines the highest utility level that can be sustained in an intergenerational equity perspective. The viability approach makes it possible to characterize all the economic trajectories sustaining a given, not necessarily maximal, utility level. In this paper, we exhibit the strong links between maximin and viability: we show that the value function of the maximin problem can be obtained in the viability framework, and that the maximin path is a particular viable path. This result allows us to extend the recommendations of the maximin approach beyond optimality, to characterize the sustainability of economic trajectories which differ from the maximin path. Attention is especially paid to non-negative net investment at maximin accounting prices, which is shown to be necessary to maintain the productive capacity of the economy, whether the development path is optimal or not. Our results provide a new theoretical ground to account for sustainability in imperfect economies, based on maximin prices.

Suggested Citation

  • Doyen, L. & Martinet, V., 2012. "Maximin, viability and sustainability," Journal of Economic Dynamics and Control, Elsevier, vol. 36(9), pages 1414-1430.
  • Handle: RePEc:eee:dyncon:v:36:y:2012:i:9:p:1414-1430
    DOI: 10.1016/j.jedc.2012.03.004
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0165188912000668
    Download Restriction: Full text for ScienceDirect subscribers only

    As the access to this document is restricted, you may want to look for a different version below or search for a different version of it.

    Other versions of this item:

    References listed on IDEAS

    as
    1. Avinash Dixit & Peter Hammond & Michael Hoel, 1980. "On Hartwick's Rule for Regular Maximin Paths of Capital Accumulation and Resource Depletion," Review of Economic Studies, Oxford University Press, vol. 47(3), pages 551-556.
    2. Doyen, Luc & Péreau, Jean-Christophe, 2012. "Sustainable coalitions in the commons," Mathematical Social Sciences, Elsevier, vol. 63(1), pages 57-64.
    3. Martinet, Vincent, 2011. "A characterization of sustainability with indicators," Journal of Environmental Economics and Management, Elsevier, vol. 61(2), pages 183-197, March.
    4. 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.
    5. Asako, Kazumi, 1980. "Economic growth and environmental pollution under the max-min principle," Journal of Environmental Economics and Management, Elsevier, vol. 7(3), pages 157-183, September.
    6. Cairns, Robert D. & Long, Ngo Van, 2006. "Maximin: a direct approach to sustainability," Environment and Development Economics, Cambridge University Press, vol. 11(03), pages 275-300, June.
    7. Weitzman, Martin L. & Lofgren, Karl-Gustaf, 1997. "On the Welfare Significance of Green Accounting as Taught by Parable," Journal of Environmental Economics and Management, Elsevier, vol. 32(2), pages 139-153, February.
    8. Péreau, J.-C. & Doyen, L. & Little, L.R. & Thébaud, O., 2012. "The triple bottom line: Meeting ecological, economic and social goals with individual transferable quotas," Journal of Environmental Economics and Management, Elsevier, vol. 63(3), pages 419-434.
    9. 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.
    10. R. M. Solow, 1974. "Intergenerational Equity and Exhaustible Resources," Review of Economic Studies, Oxford University Press, vol. 41(5), pages 29-45.
    11. John M. Hartwick, 1978. "Substitution Among Exhaustible Resources and Intergenerational Equity," Review of Economic Studies, Oxford University Press, vol. 45(2), pages 347-354.
    12. Asheim, Geir B, 1994. " Net National Product as an Indicator of Sustainability," Scandinavian Journal of Economics, Wiley Blackwell, vol. 96(2), pages 257-265.
    13. Martin L. Weitzman, 1976. "On the Welfare Significance of National Product in a Dynamic Economy," The Quarterly Journal of Economics, Oxford University Press, vol. 90(1), pages 156-162.
    14. Baumgärtner, Stefan & Quaas, Martin F., 2009. "Ecological-economic viability as a criterion of strong sustainability under uncertainty," Ecological Economics, Elsevier, vol. 68(7), pages 2008-2020, May.
    15. Martinet, V. & Doyen, L., 2007. "Sustainability of an economy with an exhaustible resource: A viable control approach," Resource and Energy Economics, Elsevier, vol. 29(1), pages 17-39, January.
    16. Asheim, Geir B., 2007. "Can NNP be used for welfare comparisons?," Environment and Development Economics, Cambridge University Press, vol. 12(01), pages 11-31, February.
    17. Heal, G., 1998. "Valuing the Future: Economic Theory and Sustainability," Papers 98-10, Columbia - Graduate School of Business.
    18. Withagen, Cees & B. Asheim, Geir, 1998. "Characterizing sustainability: The converse of Hartwick's rule," Journal of Economic Dynamics and Control, Elsevier, vol. 23(1), pages 159-165, September.
    19. Cairns, Robert D., 2008. "Value and income," Ecological Economics, Elsevier, vol. 66(2-3), pages 417-424, June.
    20. Solow, Robert M, 1986. " On the Intergenerational Allocation of Natural Resources," Scandinavian Journal of Economics, Wiley Blackwell, vol. 88(1), pages 141-149.
    21. Robert Cairns, 2003. "Reconciling the Green Accounts," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 25(1), pages 51-63, May.
    22. 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.
    23. 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.
    24. 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.
    25. Dasgupta, Partha & M Ler, Karl-G Ran, 2000. "Net national product, wealth, and social well-being," Environment and Development Economics, Cambridge University Press, vol. 5(01), pages 69-93, February.
    26. Mitra, Tapan, 2002. "Intertemporal Equity and Efficient Allocation of Resources," Journal of Economic Theory, Elsevier, vol. 107(2), pages 356-376, December.
    27. Vouvaki, Dimitra & Xepapadeas, Anastasios, 2008. "Changes in social welfare and sustainability: Theoretical issues and empirical evidence," Ecological Economics, Elsevier, vol. 67(3), pages 473-484, October.
    28. 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.
    29. 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.
    30. Partha Dasgupta, 2009. "The Welfare Economic Theory of Green National Accounts," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 42(1), pages 3-38, January.
    31. Bene, C. & Doyen, L. & Gabay, D., 2001. "A viability analysis for a bio-economic model," Ecological Economics, Elsevier, vol. 36(3), pages 385-396, March.
    32. 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. Stergios Athanasoglou & Valentina Bosetti & Laurent Drouet, 2017. "A Simple Framework for Climate-Change Policy under Model Uncertainty," Working Papers 2017.13, Fondazione Eni Enrico Mattei.
    2. Robert D. Cairns & Stellio Del Campo & Vincent Martinet, 2016. "Sustainability of an economy relying on two reproducible assets," Working Papers 2016/03, INRA, Economie Publique.
    3. Cairns, Robert D. & Martinet, Vincent, 2014. "An environmental-economic measure of sustainable development," European Economic Review, Elsevier, vol. 69(C), pages 4-17.
    4. L. Doyen & A. Cissé & S. Gourguet & L. Mouysset & P.-Y. Hardy & C. Béné & F. Blanchard & F. Jiguet & J.-C. Pereau & O. Thébaud, 2013. "Ecological-economic modelling for the sustainable management of biodiversity," Computational Management Science, Springer, vol. 10(4), pages 353-364, December.
    5. Cissé, A.A. & Doyen, L. & Blanchard, F. & Béné, C. & Péreau, J.-C., 2015. "Ecoviability for small-scale fisheries in the context of food security constraints," Ecological Economics, Elsevier, vol. 119(C), pages 39-52.
    6. repec:mse:cesdoc:13006r is not listed on IDEAS
    7. Fleurbaey, Marc, 2015. "On sustainability and social welfare," Journal of Environmental Economics and Management, Elsevier, vol. 71(C), pages 34-53.
    8. Schuhbauer, Anna & Sumaila, U. Rashid, 2016. "Economic viability and small-scale fisheries — A review," Ecological Economics, Elsevier, vol. 124(C), pages 69-75.

    More about this item

    Keywords

    Sustainability; Maximin; Viability; Dynamics; Optimality; Genuine savings;

    JEL classification:

    • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis
    • E21 - Macroeconomics and Monetary Economics - - Consumption, Saving, Production, Employment, and Investment - - - Consumption; Saving; Wealth
    • Q01 - Agricultural and Natural Resource Economics; Environmental and Ecological Economics - - General - - - Sustainable Development
    • 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

    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:eee:dyncon:v:36:y:2012:i:9:p:1414-1430. See general information about how to correct material in RePEc.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Dana Niculescu). General contact details of provider: http://www.elsevier.com/locate/jedc .

    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 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.

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

    IDEAS is a RePEc service hosted by the Research Division of the Federal Reserve Bank of St. Louis . RePEc uses bibliographic data supplied by the respective publishers.