IDEAS home Printed from https://ideas.repec.org/a/eee/matsoc/v59y2010i2p148-169.html
   My bibliography  Save this article

Sustainability and discounted utilitarianism in models of economic growth

Author

Listed:
  • Asheim, Geir B.
  • Mitra, Tapan

Abstract

Discounted utilitarianism treats generations unequally and leads to seemingly unappealing consequences in some models of economic growth. Instead, this paper presents and applies sustainable discounted utilitarianism (SDU). SDU respects the interests of future generations and resolves intergenerational conflicts by imposing on discounted utilitarianism that the evaluation be insensitive to the interests of the present generation if the present is better off than the future. An SDU social welfare function always exists. We provide a convenient sufficient condition to identify SDU optima and apply SDU to two well-known models of economic growth.

Suggested Citation

  • Asheim, Geir B. & Mitra, Tapan, 2010. "Sustainability and discounted utilitarianism in models of economic growth," Mathematical Social Sciences, Elsevier, vol. 59(2), pages 148-169, March.
  • Handle: RePEc:eee:matsoc:v:59:y:2010:i:2:p:148-169
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0165-4896(09)00080-8
    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. Asheim, Geir B. & Buchholz, Wolfgang & Tungodden, Bertil, 2001. "Justifying Sustainability," Journal of Environmental Economics and Management, Elsevier, vol. 41(3), pages 252-268, May.
    2. Cass, David & Mitra, Tapan, 1991. "Indefinitely Sustained Consumption Despite Exhaustible Natural Resources," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 1(2), pages 119-146, April.
    3. Geir B. Asheim & Tapan Mitra & Bertil Tungodden, 2007. "A New Equity Condition for Infinite Utility Streams and the Possibility of being Paretian," International Economic Association Series, in: John Roemer & Kotaro Suzumura (ed.), Intergenerational Equity and Sustainability, chapter 4, pages 55-68, Palgrave Macmillan.
    4. Kaushik Basu & Tapan Mitra, 2003. "Aggregating Infinite Utility Streams with InterGenerational Equity: The Impossibility of Being Paretian," Econometrica, Econometric Society, vol. 71(5), pages 1557-1563, September.
    5. Banerjee, Kuntal, 2006. "On the equity-efficiency trade off in aggregating infinite utility streams," Economics Letters, Elsevier, vol. 93(1), pages 63-67, October.
    6. Kaushik Basu & Tapan Mitra, 2007. "Possibility Theorems for Equitably Aggregating Infinite Utility Streams," International Economic Association Series, in: John Roemer & Kotaro Suzumura (ed.), Intergenerational Equity and Sustainability, chapter 5, pages 69-84, Palgrave Macmillan.
    7. Basu, Kaushik & Mitra, Tapan, 2005. "Possibility Theorems for Aggregating Infinite Utility Streams Equitably," Working Papers 05-05, Cornell University, Center for Analytic Economics.
    8. Geir B. Asheim & Tapan Mitra & Bertil Tungodden, 2016. "Sustainable Recursive Social Welfare Functions," Studies in Economic Theory, in: Graciela Chichilnisky & Armon Rezai (ed.), The Economics of the Global Environment, pages 165-190, Springer.
    9. R. M. Solow, 1974. "Intergenerational Equity and Exhaustible Resources," Review of Economic Studies, Oxford University Press, vol. 41(5), pages 29-45.
    10. Benveniste, L M & Scheinkman, J A, 1979. "On the Differentiability of the Value Function in Dynamic Models of Economics," Econometrica, Econometric Society, vol. 47(3), pages 727-732, May.
    11. 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.
    12. D. Cass & M. E. Yaari, 1971. "Present Values Playing the Role of Efficiency Prices in the One-Good Growth Model," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 38(3), pages 331-339.
    13. Geir B. Asheim, 1988. "Rawlsian Intergenerational Justice as a Markov-Perfect Equilibrium in a Resource Technology," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 55(3), pages 469-483.
    14. Heal, G., 1998. "Valuing the Future: Economic Theory and Sustainability," Papers 98-10, Columbia - Graduate School of Business.
    15. Tjalling C. Koopmans, 1959. "Stationary Ordinal Utility and Impatience," Cowles Foundation Discussion Papers 81, Cowles Foundation for Research in Economics, Yale University.
    16. 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.
    17. Richard Beals & Tjalling C. Koopmans, 1967. "Maximizing Stationary Utility in a Constant Technology," Cowles Foundation Discussion Papers 229, Cowles Foundation for Research in Economics, Yale University.
    18. Epstein, Larry G., 1986. "Intergenerational consumption rules: An axiomatization of utilitarianism and egalitarianism," Journal of Economic Theory, Elsevier, vol. 38(2), pages 280-297, April.
    19. Dasgupta, Swapan & Mitra, Tapan, 1983. "Intergenerational Equity and Efficient Allocation of Exhaustible Resources," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 24(1), pages 133-153, February.
    Full references (including those not matched with items on IDEAS)

    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. Asheim, Geir B. & Buchholz, Wolfgang & Tungodden, Bertil, 2001. "Justifying Sustainability," Journal of Environmental Economics and Management, Elsevier, vol. 41(3), pages 252-268, May.
    2. Geir B. Asheim & Tapan Mitra & Bertil Tungodden, 2016. "Sustainable Recursive Social Welfare Functions," Studies in Economic Theory, in: Graciela Chichilnisky & Armon Rezai (ed.), The Economics of the Global Environment, pages 165-190, Springer.
    3. Zuber, Stéphane & Asheim, Geir B., 2012. "Justifying social discounting: The rank-discounted utilitarian approach," Journal of Economic Theory, Elsevier, vol. 147(4), pages 1572-1601.
    4. José Carlos R. Alcantud & María D. García-Sanz, 2013. "Evaluations of Infinite Utility Streams: Pareto Efficient and Egalitarian Axiomatics," Metroeconomica, Wiley Blackwell, vol. 64(3), pages 432-447, July.
    5. Knapp, Keith C., 2006. "Recursive Sustainability: Intertemporal Efficiency and Equity," 2006 Annual meeting, July 23-26, Long Beach, CA 21472, American Agricultural Economics Association (New Name 2008: Agricultural and Applied Economics Association).
    6. Geir B. Asheim, 2017. "Sustainable growth," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 49(3), pages 825-848, December.
    7. Fleurbaey, Marc, 2015. "On sustainability and social welfare," Journal of Environmental Economics and Management, Elsevier, vol. 71(C), pages 34-53.
    8. Alcantud, José Carlos R., 2012. "Inequality averse criteria for evaluating infinite utility streams: The impossibility of Weak Pareto," Journal of Economic Theory, Elsevier, vol. 147(1), pages 353-363.
    9. Alvarez-Cuadrado, Francisco & Van Long, Ngo, 2009. "A mixed Bentham-Rawls criterion for intergenerational equity: Theory and implications," Journal of Environmental Economics and Management, Elsevier, vol. 58(2), pages 154-168, September.
    10. Vincent Martinet, 2009. "Defining sustainability objectives," EconomiX Working Papers 2009-7, University of Paris Nanterre, EconomiX.
    11. Geir B. Asheim & Wolfgang Buchholz, 2000. "The Malleability of Undiscounted Utilitarianism as a Criterion of Intergenerational Justice," CESifo Working Paper Series 392, CESifo.
    12. Geir B. Asheim, 2005. "Intergenerational Ethics under Resource Constraints," Swiss Journal of Economics and Statistics (SJES), Swiss Society of Economics and Statistics (SSES), vol. 141(III), pages 313-330, September.
    13. 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.
    14. 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.
    15. Charles Figuières & Mabel Tidball, 2016. "Sustainable Exploitation of a Natural Resource: A Satisfying Use of Chichilnisky’s Criterion," Studies in Economic Theory, in: Graciela Chichilnisky & Armon Rezai (ed.), The Economics of the Global Environment, pages 207-229, Springer.
    16. 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.
    17. 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.
    18. Geir B. Asheim, 2014. "Equitable intergenerational preferences and sustainability," Chapters, in: Giles Atkinson & Simon Dietz & Eric Neumayer & Matthew Agarwala (ed.), Handbook of Sustainable Development, chapter 8, pages 125-139, Edward Elgar Publishing.
    19. Ram Sewak Dubey & Tapan Mitra, 2011. "On equitable social welfare functions satisfying the Weak Pareto Axiom: A complete characterization," International Journal of Economic Theory, The International Society for Economic Theory, vol. 7(3), pages 231-250, September.
    20. Geir Asheim & Walter Bossert & Yves Sprumont & Kotaro Suzumura, 2010. "Infinite-horizon choice functions," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 43(1), pages 1-21, April.

    More about this item

    Keywords

    Intergenerational equity Sustainability Discounted utilitarianism Egalitarian consumption streams Efficiency Exhaustible resources;

    JEL classification:

    • D63 - Microeconomics - - Welfare Economics - - - Equity, Justice, Inequality, and Other Normative Criteria and Measurement
    • D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations
    • Q01 - Agricultural and Natural Resource Economics; Environmental and Ecological Economics - - General - - - Sustainable Development

    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:matsoc:v:59:y:2010:i:2:p:148-169. 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: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/locate/inca/505565 .

    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.