IDEAS home Printed from https://ideas.repec.org/p/hhs/osloec/2006_018.html
   My bibliography  Save this paper

Sustainable recursive social welfare functions

Author

Listed:
  • Asheim, Geir B.

    () (Dept. of Economics, University of Oslo)

  • Mitra, Tapan

    () (Department of Economics, Cornell University)

  • Tungodden, Bertil

    () (Department of Economics, Norwegian School of Economics and Business Administration and Chr. Michelsen Institute,)

Abstract

Koopmans’s (Econometrica 28, 287–309) axiomatization of discounted utilitarianism is based on seemingly compelling conditions, yet this criterion leads to hard-to-justify outcomes. The present analysis considers a class of sustainable recursive social welfare functions within Koopmans’s general framework. This class is axiomatized by means of a weak new equity condition (“Hammond Equity for the Future”) and general existence is established. Any member of the class satisfies the key axioms of Chichilnisky’s (Social Choice and Welfare 13, 231–257) “sustainable preferences”. The analysis singles out one of Koopmans’s original conditions as particularly questionable from an ethical perspective.

Suggested Citation

  • Asheim, Geir B. & Mitra, Tapan & Tungodden, Bertil, 2006. "Sustainable recursive social welfare functions," Memorandum 18/2006, Oslo University, Department of Economics.
  • Handle: RePEc:hhs:osloec:2006_018
    as

    Download full text from publisher

    File URL: http://www.sv.uio.no/econ/english/research/unpublished-works/working-papers/pdf-files/2006/Memo-18-2006.pdf
    Download Restriction: no

    Other versions of this item:

    References listed on IDEAS

    as
    1. Atkinson, Anthony B, 2001. "The Strange Disappearance of Welfare Economics," Kyklos, Wiley Blackwell, vol. 54(2-3), pages 193-206.
    2. 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.
    3. Fleurbaey, Marc & Michel, Philippe, 2003. "Intertemporal equity and the extension of the Ramsey criterion," Journal of Mathematical Economics, Elsevier, vol. 39(7), pages 777-802, September.
    4. John Chipman & Guoqiang Tian, 2012. "Detrimental externalities, pollution rights, and the “Coase theorem”," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 49(2), pages 309-327, February.
    5. W. M. Gorman, 1968. "The Structure of Utility Functions," Review of Economic Studies, Oxford University Press, vol. 35(4), pages 367-390.
    6. Hammond, Peter J, 1976. "Equity, Arrow's Conditions, and Rawls' Difference Principle," Econometrica, Econometric Society, vol. 44(4), pages 793-804, July.
    7. Chiaki Hara & Tomoichi Shinotsuka & Kotaro Suzumura & Yongsheng Xu, 2008. "Continuity and egalitarianism in the evaluation of infinite utility streams," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 31(2), pages 179-191, August.
    8. Blackorby, Charles & Donaldson, David & Weymark, John A, 1984. "Social Choice with Interpersonal Utility Comparisons: A Diagrammatic Introduction," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 25(2), pages 327-356, June.
    9. Geir Asheim & Bertil Tungodden, 2004. "Resolving distributional conflicts between generations," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 24(1), pages 221-230, July.
    10. Luc Lauwers, 1996. "Rawlsian equity and generalised utilitarianism with an infinite population (*)," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 9(1), pages 143-150.
    11. Asheim, Geir B. & Tungodden, Bertil, 2005. "A new equity condition for infinite utility streams and the possibility of being Paretian," Memorandum 08/2005, Oslo University, Department of Economics.
    12. Birchenhall, C. R. & Grout, P., 1979. "On equal plans with an infinite horizon," Journal of Economic Theory, Elsevier, vol. 21(2), pages 249-264, October.
    13. Banerjee, Kuntal, 2006. "On the equity-efficiency trade off in aggregating infinite utility streams," Economics Letters, Elsevier, vol. 93(1), pages 63-67, October.
    14. Asheim, Geir B., 1991. "Unjust intergenerational allocations," Journal of Economic Theory, Elsevier, vol. 54(2), pages 350-371, August.
    15. Alcantud, José C.R. & García-Sanz, María D., 2010. "Paretian evaluation of infinite utility streams: An egalitarian criterion," Economics Letters, Elsevier, vol. 106(3), pages 209-211, March.
    16. 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.
    17. Charles Figuières & Mabel Tidball, 2012. "Sustainable exploitation of a natural resource: a satisfying use of Chichilnisky’s criterion," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 49(2), pages 243-265, February.
    18. Lauwers, Luc, 1998. "Intertemporal objective functions: Strong pareto versus anonymity," Mathematical Social Sciences, Elsevier, vol. 35(1), pages 37-55, January.
    19. 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.
    20. Fleurbaey, Marc & Michel, Philippe, 2001. "Transfer principles and inequality aversion, with an application to optimal growth," Mathematical Social Sciences, Elsevier, vol. 42(1), pages 1-11, July.
    21. R. M. Solow, 1974. "Intergenerational Equity and Exhaustible Resources," Review of Economic Studies, Oxford University Press, vol. 41(5), pages 29-45.
    22. Basu, Kaushik & Mitra, Tapan, 2007. "Utilitarianism for infinite utility streams: A new welfare criterion and its axiomatic characterization," Journal of Economic Theory, Elsevier, vol. 133(1), pages 350-373, March.
    23. Heal, G., 1998. "Valuing the Future: Economic Theory and Sustainability," Papers 98-10, Columbia - Graduate School of Business.
    24. Chichilnisky, Graciela & Heal, Geoffrey & Beltratti, Andrea, 1995. "The Green Golden Rule," Economics Letters, Elsevier, vol. 49(2), pages 175-179, August.
    25. Armon Rezai & Duncan Foley & Lance Taylor, 2012. "Global warming and economic externalities," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 49(2), pages 329-351, February.
    26. Svensson, Lars-Gunnar, 1980. "Equity among Generations," Econometrica, Econometric Society, vol. 48(5), pages 1251-1256, July.
    27. Bossert, Walter & Sprumont, Yves & Suzumura, Kotaro, 2007. "Ordering infinite utility streams," Journal of Economic Theory, Elsevier, vol. 135(1), pages 579-589, July.
    28. Luc Lauwers, 2012. "Intergenerational equity, efficiency, and constructibility," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 49(2), pages 227-242, February.
    Full references (including those not matched with items on IDEAS)

    More about this item

    Keywords

    Intergenerational justice; sustainability; discounted utilitarianism;

    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

    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:hhs:osloec:2006_018. 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: (Mari Strønstad Øverås). General contact details of provider: http://edirc.repec.org/data/souiono.html .

    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.