IDEAS home Printed from https://ideas.repec.org/p/eve/wpaper/19-02.html
   My bibliography  Save this paper

Optimal growth and Ramsey-Rawls criteria

Author

Listed:
  • Thai Ha-Huy

    (EPEE, University of Evry, University Paris-Saclay; TIMAS, Thang Long University)

  • Tuyet Mai Nguyen

    (ThuongMai University, Vietnam; University Paris 1, France)

Abstract

This article studies an inter-temporal optimization problem using a criterion which is a combination between Ramsey and Rawls criteria. A detailed description of the saving behaviour through time is provided. The optimization problem under a a-maximin criterion is also considered with optimal solution characterized.

Suggested Citation

  • Thai Ha-Huy & Tuyet Mai Nguyen, 2019. "Optimal growth and Ramsey-Rawls criteria," Documents de recherche 19-02, Centre d'Études des Politiques Économiques (EPEE), Université d'Evry Val d'Essonne.
    • Handle: RePEc:eve:wpaper:19-02
    as

    Download full text from publisher

    File URL: https://www.univ-evry.fr/fileadmin/mediatheque/ueve-institutionnel/03_Recherche/laboratoires/Epee/wp/19-02.pdf
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Johanna Etner & Meglena Jeleva & Jean‐Marc Tallon, 2012. "Decision Theory Under Ambiguity," Journal of Economic Surveys, Wiley Blackwell, vol. 26(2), pages 234-270, April.
    2. Alain Chateauneuf & Fabio Maccheroni & Massimo Marinacci & Jean-Marc Tallon, 2005. "Monotone continuous multiple priors," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 26(4), pages 973-982, November.
    3. Per Krusell & Anthony A. Smith, Jr., 2003. "Consumption--Savings Decisions with Quasi--Geometric Discounting," Econometrica, Econometric Society, vol. 71(1), pages 365-375, January.
    4. Alon, Shiri, 2015. "Worst-case expected utility," Journal of Mathematical Economics, Elsevier, vol. 60(C), pages 43-48.
    5. 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.
    6. Christopher P. Chambers & Federico Echenique, 2018. "On Multiple Discount Rates," Econometrica, Econometric Society, vol. 86(4), pages 1325-1346, July.
    7. Jean-Pierre Drugeon & Thai Ha-Huy & Thi Do Hanh Nguyen, 2019. "On maximin dynamic programming and the rate of discount," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 67(3), pages 703-729, April.
    8. Le Van, Cuong & Morhaim, Lisa, 2002. "Optimal Growth Models with Bounded or Unbounded Returns: A Unifying Approach," Journal of Economic Theory, Elsevier, vol. 105(1), pages 158-187, July.
    9. Prasanta K. Pattanaik & Yongsheng Xu & Walter Bossert, 2000. "Choice under complete uncertainty: axiomatic characterizations of some decision rules," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 16(2), pages 295-312.
    10. Calvo, Guillermo A, 1977. "Optimal Maximin Accumulation with Uncertain Future Technology," Econometrica, Econometric Society, vol. 45(2), pages 317-327, March.
    11. Asheim, Geir B. & Ekeland, Ivar, 2015. "Resource Conservation across Generations in a Ramsey-Chichilnisky Model," Memorandum 17/2015, Oslo University, Department of Economics.
    12. Dan Cao & Iván Werning, 2018. "Saving and Dissaving With Hyperbolic Discounting," Econometrica, Econometric Society, vol. 86(3), pages 805-857, May.
    13. Johanna Etner & Meglena Jeleva & Jean‐Marc Tallon, 2012. "Decision Theory Under Ambiguity," Journal of Economic Surveys, Wiley Blackwell, vol. 26(2), pages 234-270, April.
    14. Gilboa, Itzhak & Schmeidler, David, 1989. "Maxmin expected utility with non-unique prior," Journal of Mathematical Economics, Elsevier, vol. 18(2), pages 141-153, April.
    15. Marc Fleurbaey & Bertil Tungodden, 2010. "The tyranny of non-aggregation versus the tyranny of aggregation in social choices: a real dilemma," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 44(3), pages 399-414, September.
    16. E. S. Phelps & R. A. Pollak, 1968. "On Second-Best National Saving and Game-Equilibrium Growth," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 35(2), pages 185-199.
    17. repec:hal:pseose:halshs-00643580 is not listed on IDEAS
    Full references (including those not matched with items on IDEAS)

    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. Ha-Huy, Thai & Nguyen, Thi Tuyet Mai, 2022. "Saving and dissaving under Ramsey–Rawls criterion," Journal of Mathematical Economics, Elsevier, vol. 103(C).
    2. Ha-Huy, Thai, 2022. "A tale of two Rawlsian criteria," Mathematical Social Sciences, Elsevier, vol. 118(C), pages 30-35.
    3. Jean-Pierre Drugeon & Thai Ha-Huy, 2018. "Towards a Decomposition for the Future: Closeness, Remoteness & Temporal Biases," PSE Working Papers halshs-01962035, HAL.
    4. Balbus, Łukasz & Reffett, Kevin & Woźny, Łukasz, 2022. "Time-consistent equilibria in dynamic models with recursive payoffs and behavioral discounting," Journal of Economic Theory, Elsevier, vol. 204(C).
    5. Jean-Pierre Drugeon & Thai Ha-Huy & Thi Do Hanh Nguyen, 2019. "On maximin dynamic programming and the rate of discount," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 67(3), pages 703-729, April.
    6. Drugeon, Jean-Pierre & Ha-Huy, Thai, 2021. "On Multiple Discount Rates with Recursive Time-Dependent Orders," MPRA Paper 111308, University Library of Munich, Germany.
    7. Richard S. J. Tol & In Chang Hwang & Frédéric Reynès, 2012. "The Effect of Learning on Climate Policy under Fat-tailed Uncertainty," Working Paper Series 5312, Department of Economics, University of Sussex Business School.
    8. Mononen, Lasse, 2024. "Dynamically Consistent Intergenerational Welfare," Center for Mathematical Economics Working Papers 687, Center for Mathematical Economics, Bielefeld University.
    9. Federica Ceron & Vassili Vergopoulos, 2020. "Recursive objective and subjective multiple priors," Post-Print halshs-02900497, HAL.
    10. Helena Gaspars-Wieloch, 2017. "Newsvendor problem under complete uncertainty: a case of innovative products," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 25(3), pages 561-585, September.
    11. Jean-Pierre Drugeon & Thai Ha Huy, 2022. "A not so myopic axiomatization of discounting," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 73(1), pages 349-376, February.
    12. Takao Asano & Hiroko Okudaira & Masaru Sasaki, 2015. "An experimental test of a search model under ambiguity," Theory and Decision, Springer, vol. 79(4), pages 627-637, December.
    13. L. A. Franzoni, 2016. "Optimal liability design under risk and ambiguity," Working Papers wp1048, Dipartimento Scienze Economiche, Universita' di Bologna.
    14. Drugeon, Jean-Pierre & Ha-Huy, Thai, 2023. "An α-MaxMin utility representation for close and distant future preferences with temporal biases," Journal of Mathematical Economics, Elsevier, vol. 109(C).
    15. Théodora Dupont-Courtade, 2012. "Insurance demand under ambiguity and conflict for extreme risks: Evidence from a large representative survey," Documents de travail du Centre d'Economie de la Sorbonne 12020, Université Panthéon-Sorbonne (Paris 1), Centre d'Economie de la Sorbonne.
    16. Ivan Moscati, 2022. "Behavioral and heuristic models are as-if models too — and that’s ok," BAFFI CAREFIN Working Papers 22177, BAFFI CAREFIN, Centre for Applied Research on International Markets Banking Finance and Regulation, Universita' Bocconi, Milano, Italy.
    17. Thai Ha-Huy, 2019. "Savage's theorem with atoms," Documents de recherche 19-05, Centre d'Études des Politiques Économiques (EPEE), Université d'Evry Val d'Essonne.
    18. Gonçalo Faria & João Correia-da-Silva, 2012. "The price of risk and ambiguity in an intertemporal general equilibrium model of asset prices," Annals of Finance, Springer, vol. 8(4), pages 507-531, November.
    19. Aurélien Baillon & Zhenxing Huang & Asli Selim & Peter P. Wakker, 2018. "Measuring Ambiguity Attitudes for All (Natural) Events," Econometrica, Econometric Society, vol. 86(5), pages 1839-1858, September.
    20. Ha-Huy, Thai & Tran, Nhat Thien, 2020. "A simple characterisation for sustained growth," Journal of Mathematical Economics, Elsevier, vol. 91(C), pages 141-147.

    More about this item

    Keywords

    maximin principle; a-maximin; Ralws criterion; Ramsey criterion; ?-contamination;
    All these keywords.

    JEL classification:

    • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis
    • D11 - Microeconomics - - Household Behavior - - - Consumer Economics: Theory
    • 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:eve:wpaper:19-02. 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: Samuel Nosel (email available below). General contact details of provider: https://edirc.repec.org/data/epevrfr.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.