IDEAS home Printed from https://ideas.repec.org/p/red/sed008/874.html
   My bibliography  Save this paper

Intergenerational equity and the discount rate for cost-benefit analysis

Author

Listed:
  • ANNA RUBINCHIK

    (University of Colorado at Boulder, USA)

  • JEAN-FRANCOIS MERTENS

    (CORE, UCL, Belgium)

Abstract

A necessary condition is time-invariance, which is satisfied by any common solution concept in an overlapping generations model with exogenous growth. The method is applied to derive the discount rate for cost-benefit analysis under two different utilitarian welfare functions: traditional and relative. It is only under relative utilitarianism that the discount rate is well-defined for a heterogeneous society, is corroborated by an independent argument on the value of human life, and equals the growth rate of per capita consumption, thus falling in the range suggested by the U.S. Office of Management and Budget.

Suggested Citation

  • Anna Rubinchik & Jean-Francois Mertens, 2008. "Intergenerational equity and the discount rate for cost-benefit analysis," 2008 Meeting Papers 874, Society for Economic Dynamics.
  • Handle: RePEc:red:sed008:874
    as

    Download full text from publisher

    File URL: https://red-files-public.s3.amazonaws.com/meetpapers/2008/paper_874.pdf
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. 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.
    2. Kehoe, Timothy J. & Levine, David K., 1984. "Regularity in overlapping generations exchange economies," Journal of Mathematical Economics, Elsevier, vol. 13(1), pages 69-93, April.
    3. Gale, David, 1973. "Pure exchange equilibrium of dynamic economic models," Journal of Economic Theory, Elsevier, vol. 6(1), pages 12-36, February.
    4. Paul A. Samuelson, 1958. "An Exact Consumption-Loan Model of Interest with or without the Social Contrivance of Money," Journal of Political Economy, University of Chicago Press, vol. 66(6), pages 467-467.
    5. Andres Erosa & Martin Gervais, 2001. "Optimal taxation in infinitely-lived agent and overlapping generations models : a review," Economic Quarterly, Federal Reserve Bank of Richmond, issue Spr, pages 23-44.
    6. Debreu, Gerard, 1976. "Regular Differentiable Economies," American Economic Review, American Economic Association, vol. 66(2), pages 280-287, May.
    7. Juan Crespo & Carmelo Nuñez & Juan Rincón-Zapatero, 2009. "On the impossibility of representing infinite utility streams," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 40(1), pages 47-56, July.
    8. 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.
    9. MERTENS, Jean-François & RUBINCHIK, Anna, 2006. "Intergenerational equity and the discount rate for cost-benefit analysis," LIDAM Discussion Papers CORE 2006091, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    10. Alma Cohen & Liran Einav, 2007. "Estimating Risk Preferences from Deductible Choice," American Economic Review, American Economic Association, vol. 97(3), pages 745-788, June.
    11. Coate, Stephen, 2000. "An Efficiency Approach to the Evaluation of Policy Changes," Economic Journal, Royal Economic Society, vol. 110(463), pages 437-455, April.
    12. John Geanakoplos & Donald J. Brown, 1985. "Comparative Statics and Local Indeterminacy in OLG Economies: An Application of the Multiplicative Ergodic Theorem," Cowles Foundation Discussion Papers 773, Cowles Foundation for Research in Economics, Yale University.
    13. 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.
    14. de la Croix,David & Michel,Philippe, 2002. "A Theory of Economic Growth," Cambridge Books, Cambridge University Press, number 9780521001151, September.
    15. d’ASPREMONT, Claude, 2005. "Formal welfarism and intergenerational equity," LIDAM Discussion Papers CORE 2005075, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    16. Sen, Amartya, 2000. "Social justice and the distribution of income," Handbook of Income Distribution, in: A.B. Atkinson & F. Bourguignon (ed.), Handbook of Income Distribution, edition 1, volume 1, chapter 1, pages 59-85, Elsevier.
    17. Mishan, E J, 1971. "Evaluation of Life and Limb: A Theoretical Approach," Journal of Political Economy, University of Chicago Press, vol. 79(4), pages 687-705, July-Aug..
    18. King, Robert G & Plosser, Charles I & Rebelo, Sergio T, 2002. "Production, Growth and Business Cycles: Technical Appendix," Computational Economics, Springer;Society for Computational Economics, vol. 20(1-2), pages 87-116, October.
    19. Geanakoplos, John D. & Polemarchakis, Heraklis M., 1991. "Overlapping generations," Handbook of Mathematical Economics, in: W. Hildenbrand & H. Sonnenschein (ed.), Handbook of Mathematical Economics, edition 1, volume 4, chapter 35, pages 1899-1960, Elsevier.
    20. repec:bla:jfinan:v:59:y:2004:i:1:p:407-446 is not listed on IDEAS
    21. Amrita Dhillon & Jean-Francois Mertens, 1999. "Relative Utilitarianism," Econometrica, Econometric Society, vol. 67(3), pages 471-498, May.
    22. Clive Bell & Shantayanan Devarajan, 1983. "Shadow Prices for Project Evaluation Under Alternative Macroeconomic Specifications," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 98(3), pages 457-477.
    23. Laurence J. Kotlikoff, 1998. "The A-K Model: It's Past, Present, and Future," NBER Working Papers 6684, National Bureau of Economic Research, Inc.
    24. Dreze, Jean & Stern, Nicholas, 1987. "The theory of cost-benefit analysis," Handbook of Public Economics, in: A. J. Auerbach & M. Feldstein (ed.), Handbook of Public Economics, edition 1, volume 2, chapter 14, pages 909-989, Elsevier.
    25. Theodore C. Bergstrom, 2006. "Benefit-Cost in a Benevolent Society," American Economic Review, American Economic Association, vol. 96(1), pages 339-351, March.
    26. Asheim, Geir B., 1991. "Unjust intergenerational allocations," Journal of Economic Theory, Elsevier, vol. 54(2), pages 350-371, August.
    27. 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.
    28. Tjalling C. Koopmans, 1959. "Stationary Ordinal Utility and Impatience," Cowles Foundation Discussion Papers 81, Cowles Foundation for Research in Economics, Yale University.
    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. MERTENS, Jean-François & RUBINCHIK, Anna, 2006. "Intergenerational equity and the discount rate for cost-benefit analysis," LIDAM Discussion Papers CORE 2006091, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    2. Mertens, Jean-François & Rubinchik, Anna, 2012. "Intergenerational Equity And The Discount Rate For Policy Analysis," Macroeconomic Dynamics, Cambridge University Press, vol. 16(1), pages 61-93, February.
    3. Jean-Francois Mertens, 2010. "Welfare evaluation of policies in an overlapping generations growth model," 2010 Meeting Papers 1239, Society for Economic Dynamics.

    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. Mertens, Jean-François & Rubinchik, Anna, 2012. "Intergenerational Equity And The Discount Rate For Policy Analysis," Macroeconomic Dynamics, Cambridge University Press, vol. 16(1), pages 61-93, February.
    2. Mabrouk, Mohamed, 2006. "Allais-anonymity as an alternative to the discounted-sum criterion in the calculus of optimal growth I: Consensual optimality," MPRA Paper 10512, University Library of Munich, Germany.
    3. 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.
    4. 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.
    5. Gorokhovsky, Alexander & Rubinchik, Anna, 2022. "Necessary and sufficient conditions for determinacy of asymptotically stationary equilibria in OLG models," Journal of Economic Theory, Elsevier, vol. 204(C).
    6. 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.
    7. Charalambos Aliprantis & Kim Border & Owen Burkinshaw, 1996. "Market economies with many commodities," Decisions in Economics and Finance, Springer;Associazione per la Matematica, vol. 19(1), pages 113-185, March.
    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. 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.
    10. 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.
    11. Michele Lombardi & Kaname Miyagishima & Roberto Veneziani, 2016. "Liberal Egalitarianism and the Harm Principle," Economic Journal, Royal Economic Society, vol. 126(597), pages 2173-2196, November.
    12. Geir B. Asheim & Kuntal Banerjee & Tapan Mitra, 2021. "How stationarity contradicts intergenerational equity," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 72(2), pages 423-444, September.
    13. José Carlos R. Alcantud, 2013. "The impossibility of social evaluations of infinite streams with strict inequality aversion," Economic Theory Bulletin, Springer;Society for the Advancement of Economic Theory (SAET), vol. 1(2), pages 123-130, November.
    14. Urmee Khan & Maxwell B Stinchcombe, 2016. "Planning for the Long Run: Programming with Patient, Pareto Responsive Preferences," Working Papers 201608, University of California at Riverside, Department of Economics.
    15. H. Polemarchakis & S. Demichelis, 2002. "Frequency of Trade and the Determinancy of Equilibrium Paths: Logarithmic Economies of Overlapping Generations Under Certainty," Working Papers 2002-16, Brown University, Department of Economics.
    16. Toyotaka Sakai, 2016. "Limit representations of intergenerational equity," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 47(2), pages 481-500, August.
    17. Alain Ayong Le Kama & Thai Ha-Huy & Cuong Le Van & Katheline Schubert, 2014. "A never-decisive and anonymous criterion for optimal growth models," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 55(2), pages 281-306, February.
    18. Khan, Urmee & Stinchcombe, Maxwell B., 2018. "Planning for the long run: Programming with patient, Pareto responsive preferences," Journal of Economic Theory, Elsevier, vol. 176(C), pages 444-478.
    19. DEMICHELIS, Stefano & POLEMARCHAKIS, Heracles, 2000. "Life-span and the determinacy of equilibrium in economies of overlapping generations," LIDAM Discussion Papers CORE 2000034, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    20. 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.

    More about this item

    JEL classification:

    • D61 - Microeconomics - - Welfare Economics - - - Allocative Efficiency; Cost-Benefit Analysis
    • D63 - Microeconomics - - Welfare Economics - - - Equity, Justice, Inequality, and Other Normative Criteria and Measurement
    • H43 - Public Economics - - Publicly Provided Goods - - - Project Evaluation; Social Discount Rate

    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:red:sed008:874. 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: Christian Zimmermann (email available below). General contact details of provider: https://edirc.repec.org/data/sedddea.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.