Skip to main content
Log in

An axiomatic approach to sustainable development

  • Published:
Social Choice and Welfare Aims and scope Submit manuscript

Abstract

The paper proposes two axioms that capture the idea of sustainable development and derives the welfare criterion that they imply. The axioms require that neither the present nor the future should play a dictatorial role.

Theorem 1 shows there exist sustainable preferences, which satisfy these axioms. They exhibit sensitivity to the present and to the long-run future, and specify trade-offs between them. It examines other welfare criteria which are generally utilized: discounted utility, lim inf. long run averages, overtaking and catching-up criteria, Ramsey's criterion, Rawlsian rules, and the criterion of satisfaction of basic needs, and finds that none satisfies the axioms for sustainability.

Theorem 2 gives a characterization of all continuous independent sustainable preferences. Theorem 3 shows that in general sustainable growth paths cannot be approximated by paths which approximate discounted optima. Proposition 1 shows that paths which maximize the present value under a standard price system may fail to reach optimal sustainable welfare levels, and Example 4 that the two criteria can give rise to different value systems.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Arrow KJ (1953) Social Choice and Individual Values. Cowles Foundation Monographs, Wiley, New York

    Google Scholar 

  2. Arrow KJ, Kurz M (1970) Public Investment, the Rate of Return and Optimal Fiscal Policy. Johns Hopkins Press, Baltimore and London

    Google Scholar 

  3. Arrow KJ (1964) Aspects of the Theory of Risk-Bearing. Yrjö Jahnsson Lectures, Yrjo Jahonssonin Säätio, Helsinki

    Google Scholar 

  4. Asheim G (1988) Rawlsian intergenerational justice as a Markov-perfect equilibrium in a resource economy. Rev Econ Studies LV: 469–484

    Google Scholar 

  5. Asheim G (1991) Unjust Intergenerational Allocations. J Econ Theory 54(2): 350–371

    Google Scholar 

  6. Herrera A, Scolnik H, Chichilnisky G et al. (1976) Catastrophe or New Society: A Latin American World Model. (The Bariloche Model). International Development Research Center, Ottawa, Canada

    Google Scholar 

  7. Beltratti A, Chichilnisky G, Heal GM (1993) The Green Golden Rule: valuing the long run. Working Paper, Columbia University, Economic Letters, 49 (1995) 175–179

    Google Scholar 

  8. Broome J (1992) Counting the Cost of Global Warming. White Horse Press, London

    Google Scholar 

  9. Brundtland GH (1987) The U.N. World Commission on Environment and Development: Our Common Future. Oxford University Press, Oxford

    Google Scholar 

  10. Chichilnisky G (1977) Development patterns and the international order. J Int Affairs 31(2): 275–304

    Google Scholar 

  11. Chichilnisky G (1977) Economic development and efficiency criteria in the satisfaction of basic needs. Appl Math Modeling 1(6): 290–297

    Google Scholar 

  12. Chichilnisky G, Kalman PJ (1980) Application of functional analysis to models of efficient allocation of economic resources. J Optimization Theory App 30: 19–32

    Google Scholar 

  13. Chichilnisky G (1982) Social aggregation rules and continuity. Q J Econ 97: 337–352

    Google Scholar 

  14. Chichilnisky G (1993) On strategic control. Q J Econ 108: 285–290

    Google Scholar 

  15. Chichlinisky G (1993) The cone condition, properness and extremely desirable commodities. Econ Theory (3): 177–182

  16. Chichilnisky G, Heal G (1993) Competitive equilibrium in Sobolev spaces without bounds on short sales. J Econ Theory (59): 364–384

  17. Chichilnisky G (1993) North-South Trade and the Dynamics of Renewable Resources. Keynote address to the conference The Environment after Rio. Courmayeur, Italy, 10–12 February 1993. In: Structural Change and Economic Dynamics, vol 4 No. 2, pp 219–248

  18. Chichilnisky G (1991) North-south trade and the global environment. Technical Report No. 31, Stanford Institute of Theoretical Economics, 1992. Am Econ Rev September 1994, vol 84, No 4, pp 851–874

    Google Scholar 

  19. Chichilnisky G (1993) The abatement of carbon emissions in industrial and developing countries: Comment. Paper presented at The International Conference on the Economics of Climate Change, OECD/IEA, Paris, 1993 June 14–16; in OECD: The Economics of Climate Change (ed. T. Jones) pp 159–169

  20. Chichilnisky G (1994) Social diversity, arbitrage and gains from trade: a unified perspective on resource allocation. Am Econ Rev pp 427–434

  21. Cline WR (1992) The Economics of Global Warming. Institute for International Economics, Washington D.C.

    Google Scholar 

  22. Coppel J (1993) Implementing a global environmental policy: some selectd issues. Economic Division, OECD. Paper presented at The International Conference on the Economics of Climate Change, OECD/IEA, Paris, 14–16 June 1993; in OECD: The Economics of Climate Change (ed. T. Jones), pp 141–159

  23. Debreu G (1954) Valuation equilibrium and Pareto optimum. Pro Nat Acad Sciences 40: 588–592

    Google Scholar 

  24. Dasgupta P, Heal G (1979) Economic Theory and Exhaustible Resources. University Press, Cambridge

    Google Scholar 

  25. Dutta P (1991) What do discounted optima converge to? J Econ Theory 55: 64–94

    Google Scholar 

  26. Gale D (1967) On optimal development in a multisector economy. Rev Econ Studies pp 1–18, vol XXXIV (1) No. 97, January 1967

    Google Scholar 

  27. Hammond PJ (1993) Is there anything new in the concept of sustainable development. Paper presented to the conference The Environment after Rio, Courmayeur, Italy, 10–12 February 1993

  28. Heal G (1985) Depletion and discounting: a classical issue in the economics of exhaustible resources. Am Math Society, Pro Symposia App Math 32: 33–43

    Google Scholar 

  29. Heal GM (1993) Valuing the very long run: discounting and the environment. Payne Webber Working Paper Series, Columbia Business School, New York

    Google Scholar 

  30. Hicks J (1946) Value and Capital. The Clarendon Press. Oxford University Press, 2nd edn.

  31. Koopmans T (1963) On the concept of optimal economic growth. Cowles Foundation Discussion Paper No. 163 and 163A

  32. Lauwers L (1993) Infinite Chichilnisky rules. Discussion Paper, Katholik Universitaet Leuven; to appear in Econ Letters

    Google Scholar 

  33. Lauwers L, van Liederkierke L Monotonic Chichilnisky rules with infinite populations. Discussion Paper, Katholik Universitaet: Leuven, to appear in Soc Choice Welfare, 1996

  34. McFadden D (1967) The evaluation of development programmes. Rev Econ Studies pp 25–50, vol XXXIV (1) No 97, January 1967

    CAS  PubMed  Google Scholar 

  35. Mirrleess J, Stern N (1973) Theory of Economic Growth. McMillan for the International Economic Association

  36. Ramsey F (1928) A mathematical theory of saving. Econ J 38: 543–559

    Google Scholar 

  37. Rawls J (1971) A Theory of Justice. Bellknap Press, Cambridge, MA

    Google Scholar 

  38. Solow R (1974) Intergenerational equity and exhaustible resources. Rev Econ Studies, Symposium on the Economics of Exhaustible Resources pp 29–45

  39. Solow R (1992) An almost practical step toward sustainability. Lecture on the Occasion of the Fortieth Anniversary of Resources for the Future. Resources for the Future, Washington D.C.

    Google Scholar 

  40. Yosida K (1974) Functional Analysis. Springer Verlag, Berlin, Heidelberg, New York 4th edn.

    Google Scholar 

  41. Yosida K, Hewitt E (1952) Finitely level independent measures. Trans Am Math Society 72: 46–66

    Google Scholar 

  42. von Weizacker (1967) Lemmas for a theory of approximate optimal growth. Rev Econ Studies pp 143–151, vol XXXIV (1) No 97, January 1967

    Google Scholar 

  43. World Resources Institute, United Nations Environment Program and United Nations Development Program (1995) World Resources: People and the Environment (1994–5) A Guide to the Global Environment, Oxford University Press

Download references

Author information

Authors and Affiliations

Authors

Additional information

This paper was prepared for a presentation on Reconsideration of Values at the Stanford Institute for Theoretical Economics, organized by K.J. Arrow in July 1993. It was also presented at Intergovernmental Panel on Climate Change Seminar in Montreux, Switzerland, March 1994, at a Seminar on Inconmensurability and Values at Château du Baffy, Normandy, April 1994, and at the Graduate School of Business of Stanford University in May 1994. e mail gc@columbia.edu.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Chichilnisky, G. An axiomatic approach to sustainable development. Soc Choice Welfare 13, 231–257 (1996). https://doi.org/10.1007/BF00183353

Download citation

  • Received:

  • Accepted:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00183353

Keywords

Navigation