IDEAS home Printed from https://ideas.repec.org/p/wpa/wuwpge/0511007.html
   My bibliography  Save this paper

Intergenerational anonymity as an alternative to the discounted- sum criterion in the calculus of optimal growth II: Pareto optimality and some economic interpretations

Author

Listed:
  • Mohamed Mabrouk

    (Ecole Supérieure de Statistique et d'Analyse de l'Information de Tunis ESSAIT)

Abstract

This paper studies the Pareto-optimality of the consensual optimum established in 'Intergenerational anonymity as an alternative to the discounted-sum criterion I: consensual optimality'. For that, a Pareto- optimality criterion is set up by the application of the generalized Karush, Kuhn and Tucker theorem and thanks to the decomposition of the space of subgeometric sequences of reason p. That makes it possible to find sufficient conditions so that a bequest-rule path is Pareto- optimal. Through an example, it is then shown that the golden rule must be checked to achieve anonymous optimality. The introduction of an additive altruism makes it possible to highlight the intergenerational- preference rate compatible with anonymous optimality. In this approach, it is not any more the optimality which depends on the intergenerational-preference rate, but the optimal intergenerational- preference rate which rises from anonymous optimality.

Suggested Citation

  • Mohamed Mabrouk, 2005. "Intergenerational anonymity as an alternative to the discounted- sum criterion in the calculus of optimal growth II: Pareto optimality and some economic interpretations," GE, Growth, Math methods 0511007, EconWPA.
  • Handle: RePEc:wpa:wuwpge:0511007
    Note: Type of Document - pdf; pages: 36
    as

    Download full text from publisher

    File URL: http://econwpa.repec.org/eps/ge/papers/0511/0511007.pdf
    Download Restriction: no

    References listed on IDEAS

    as
    1. Le Van, Cuong & Cagri Saglam, H., 2004. "Optimal growth models and the Lagrange multiplier," Journal of Mathematical Economics, Elsevier, vol. 40(3-4), pages 393-410, June.
    2. Le Van, Cuong & Vailakis, Yiannis, 2005. "Recursive utility and optimal growth with bounded or unbounded returns," Journal of Economic Theory, Elsevier, vol. 123(2), pages 187-209, August.
    3. Cass, David, 1972. "On capital overaccumulation in the aggregative, neoclassical model of economic growth: A complete characterization," Journal of Economic Theory, Elsevier, vol. 4(2), pages 200-223, April.
    4. Barro, Robert J, 1974. "Are Government Bonds Net Wealth?," Journal of Political Economy, University of Chicago Press, vol. 82(6), pages 1095-1117, Nov.-Dec..
    5. 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.
    6. Fleurbaey, Marc & Suzumura, Kotaro & Tadenuma, Koichi, 2005. "Arrovian aggregation in economic environments: how much should we know about indifference surfaces?," Journal of Economic Theory, Elsevier, vol. 124(1), pages 22-44, September.
    7. 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, pages 467-467.
    8. Bayer, Stefan, 1998. "Intergenerational discounting: A new approach," Tübinger Diskussionsbeiträge 145, University of Tübingen, School of Business and Economics.
    9. Farmer, Roger E.A. & Lahiri, Amartya, 2005. "Recursive preferences and balanced growth," Journal of Economic Theory, Elsevier, vol. 125(1), pages 61-77, November.
    10. Molina-Abraldes, Antonio & Pintos-Clapes, Juan, 2003. "A complete characterization of Pareto optimality for general OLG economies," Journal of Economic Theory, Elsevier, vol. 113(2), pages 235-252, December.
    11. Schelling, Thomas C, 1995. "Intergenerational discounting," Energy Policy, Elsevier, vol. 23(4-5), pages 395-401.
    12. BLACKORBY, Charles & BOSSERT, Walter & DONALDSON, David, 2005. "Intertemporal Social Evaluation," Cahiers de recherche 2005-06, Universite de Montreal, Departement de sciences economiques.
    13. Saez-Marti, Maria & Weibull, Jorgen W., 2005. "Discounting and altruism to future decision-makers," Journal of Economic Theory, Elsevier, vol. 122(2), pages 254-266, June.
    14. Lauwers, Luc, 1998. "Intertemporal objective functions: Strong pareto versus anonymity," Mathematical Social Sciences, Elsevier, vol. 35(1), pages 37-55, January.
    15. John Ferejohn & Talbot Page, 1978. "On the Foundations of Intertemporal Choice," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 60(2), pages 269-275.
    16. Heijdra, Ben J., 2017. "Foundations of Modern Macroeconomics," OUP Catalogue, Oxford University Press, edition 3, number 9780198784135.
    17. Mohamed Mabrouk, 2005. "Intergenerational anonymity as an alternative to the discounted- sum criterion in the calculus of optimal growth I: Consensual optimality," GE, Growth, Math methods 0510013, EconWPA.
    18. Shane Frederick & George Loewenstein & Ted O'Donoghue, 2002. "Time Discounting and Time Preference: A Critical Review," Journal of Economic Literature, American Economic Association, vol. 40(2), pages 351-401, June.
    19. Boud, John III, 1990. "Recursive utility and the Ramsey problem," Journal of Economic Theory, Elsevier, vol. 50(2), pages 326-345, April.
    20. Mohamed Mabrouk, 2005. "Optimal growth path in an OLG economy without time-preference assumptions (full text)," GE, Growth, Math methods 0510006, EconWPA.
    21. Sendhil Mullainathan & Richard H. Thaler, 2000. "Behavioral Economics," NBER Working Papers 7948, National Bureau of Economic Research, Inc.
    22. Basu, Kaushik & Mitra, Tapan, 2005. "On the Existence of Paretian Social Welfare Relations for Infinite Utility Streams with Extended Anonymity," Working Papers 05-06, Cornell University, Center for Analytic Economics.
    23. David Laibson, 1997. "Golden Eggs and Hyperbolic Discounting," The Quarterly Journal of Economics, Oxford University Press, vol. 112(2), pages 443-478.
    24. Kenneth J. Arrow, "undated". "Intergenerational Equity and the Rate of Discount in Long-Term Social Investment," Working Papers 97005, Stanford University, Department of Economics.
    25. Hara, Chiaki & Shinotsuka, Tomoichi & Suzumura, Kotaro & Xu, Yongsheng, 2007. "On the Possibility of Continuous, Paretian and Egalitarian Evaluation of Infinite Utility Streams," Discussion Paper 322, Center for Intergenerational Studies, Institute of Economic Research, Hitotsubashi University.
    Full references (including those not matched with items on IDEAS)

    More about this item

    Keywords

    Intergenerational anonymity; Intergenerational equity; Optimal growth; Technical change; Time-preference; Discounted-sum criterion; Consensual criterion; Pareto-optimality; OG economy;

    JEL classification:

    • D90 - Microeconomics - - Micro-Based Behavioral Economics - - - General
    • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis
    • D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations
    • D63 - Microeconomics - - Welfare Economics - - - Equity, Justice, Inequality, and Other Normative Criteria and Measurement
    • O41 - Economic Development, Innovation, Technological Change, and Growth - - Economic Growth and Aggregate Productivity - - - One, Two, and Multisector Growth Models
    • O30 - Economic Development, Innovation, Technological Change, and Growth - - Innovation; Research and Development; Technological Change; Intellectual Property Rights - - - General

    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:wpa:wuwpge:0511007. 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: (EconWPA). General contact details of provider: http://econwpa.repec.org .

    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.