IDEAS home Printed from https://ideas.repec.org/p/ecl/corcae/10-06.html
   My bibliography  Save this paper

On the Nature of Suppes-Sen Choice Functions in an Aggregative Growth Model

Author

Listed:
  • Dubey, Ram Sewak

    (Cornell University)

  • Mitra, Tapan

    (Cornell University)

Abstract

This paper investigates the nature of paths in the standard neoclassical aggregative model of economic growth that are maximal according to the Suppes-Sen grading principle. This is accomplished by relating such paths to paths which are utilitarian maximal when an increasing (but not necessarily concave) utility function evaluates each period's consumption. An example is presented in which an explicit form of a consumption function is described, which generates only Suppes-Sen maximal paths. This consumption function is shown to generate consumption cycles, and violate the Pigou-Dalton transfer principle.

Suggested Citation

  • Dubey, Ram Sewak & Mitra, Tapan, 2010. "On the Nature of Suppes-Sen Choice Functions in an Aggregative Growth Model," Working Papers 10-06, Cornell University, Center for Analytic Economics.
  • Handle: RePEc:ecl:corcae:10-06
    as

    Download full text from publisher

    File URL: https://cae.economics.cornell.edu/10.06.pdf
    Download Restriction: no
    ---><---

    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. David Gale, 1967. "On Optimal Development in a Multi-Sector Economy," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 34(1), pages 1-18.
    3. W. A. Brock, 1970. "On Existence of Weakly Maximal Programmes in a Multi-Sector Economy," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 37(2), pages 275-280.
    4. 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.
    5. Svensson, Lars-Gunnar, 1980. "Equity among Generations," Econometrica, Econometric Society, vol. 48(5), pages 1251-1256, July.
    6. Roy Radner, 1961. "Prices and the Turnpike: III. Paths of Economic Growth that are Optimal with Regard only to Final States: A Turnpike Theorem," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 28(2), pages 98-104.
    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. Chichilnisky, Graciela & Hammond, Peter J. & Stern, Nicholas, 2018. "Should We Discount the Welfare of Future Generations? Ramsey and Suppes versus Koopmans and Arrow," CAGE Online Working Paper Series 386, Competitive Advantage in the Global Economy (CAGE).
    2. Banerjee, Kuntal, 2017. "Suppes–Sen maximality of cyclical consumption: The neoclassical growth model," Journal of Mathematical Economics, Elsevier, vol. 70(C), pages 51-65.

    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. Ram Dubey & Tapan Mitra, 2013. "On the nature of Suppes–Sen maximal paths in an aggregative growth model," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 40(1), pages 173-205, January.
    2. Banerjee, Kuntal, 2017. "Suppes–Sen maximality of cyclical consumption: The neoclassical growth model," Journal of Mathematical Economics, Elsevier, vol. 70(C), pages 51-65.
    3. 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.
    4. 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.
    5. Banerjee, Kuntal & Mitra, Tapan, 2010. "Equivalence of utilitarian maximal and weakly maximal programs," Journal of Mathematical Economics, Elsevier, vol. 46(3), pages 279-292, May.
    6. Mitra, Tapan, 2004. "Intergenerational Equity and the Forest Management Problem," Working Papers 04-17, Cornell University, Center for Analytic Economics.
    7. Jonsson, Adam & Voorneveld, Mark, 2018. "The limit of discounted utilitarianism," Theoretical Economics, Econometric Society, vol. 13(1), January.
    8. Ali Khan, M. & Piazza, Adriana, 2012. "On the Mitra–Wan forestry model: A unified analysis," Journal of Economic Theory, Elsevier, vol. 147(1), pages 230-260.
    9. Ali Khan, M. & Mitra, Tapan, 2008. "Growth in the Robinson-Solow-Srinivasan model: Undiscounted optimal policy with a strictly concave welfare function," Journal of Mathematical Economics, Elsevier, vol. 44(7-8), pages 707-732, July.
    10. Kohei Kamaga & Takashi Kojima, 2010. "On the leximin and utilitarian overtaking criteria with extended anonymity," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 35(3), pages 377-392, September.
    11. 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.
    12. Adam Jonsson, 2023. "An axiomatic approach to Markov decision processes," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 97(1), pages 117-133, February.
    13. Truman Bewley, 2010. "An Integration of Equilibrium Theory and Turnpike Theory," Levine's Working Paper Archive 1381, David K. Levine.
    14. Adam Jonsson & Mark Voorneveld, 2015. "Utilitarianism on infinite utility streams: summable differences and finite averages," Economic Theory Bulletin, Springer;Society for the Advancement of Economic Theory (SAET), vol. 3(1), pages 19-31, April.
    15. Alain Ayong Le Kama & Cuong Le Van & Katheline Schubert, 2008. "A Non-dictatorial Criterion for Optimal Growth Models," Working Papers 14, Development and Policies Research Center (DEPOCEN), Vietnam.
    16. Kohei Kamaga, 2016. "Infinite-horizon social evaluation with variable population size," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 47(1), pages 207-232, June.
    17. Jonsson, Adam & Voorneveld, Mark, 2014. "Utilitarianism for infinite utility streams: summable differences and finite averages," SSE/EFI Working Paper Series in Economics and Finance 747, Stockholm School of Economics, revised 15 Apr 2014.
    18. repec:ipg:wpaper:2 is not listed on IDEAS
    19. repec:hal:pseose:hal-01044568 is not listed on IDEAS
    20. 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.
    21. M. Khan & Alexander Zaslavski, 2007. "On a Uniform Turnpike of the Third Kind in the Robinson-Solow-Srinivasan Model," Journal of Economics, Springer, vol. 92(2), pages 137-166, October.
    22. repec:ipg:wpaper:2013-002 is not listed on IDEAS
    23. Mukul Majumdar, 2023. "Roy Radner: A Subtle Theorist," Journal of Quantitative Economics, Springer;The Indian Econometric Society (TIES), vol. 21(3), pages 481-522, September.

    More about this item

    JEL classification:

    • D60 - Microeconomics - - Welfare Economics - - - General
    • D70 - Microeconomics - - Analysis of Collective Decision-Making - - - General
    • D90 - Microeconomics - - Micro-Based Behavioral Economics - - - General

    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:ecl:corcae:10-06. 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: the person in charge (email available below). General contact details of provider: https://edirc.repec.org/data/cacorus.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.