IDEAS home Printed from https://ideas.repec.org/a/eee/mateco/v50y2014icp63-68.html
   My bibliography  Save this article

Identification and testable implications of the Ramsey–Cass–Koopmans model

Author

Listed:
  • Hosoya, Yuhki

Abstract

This paper aims to provide a method for calculating the utility function and discount rate of the discrete-time Ramsey–Cass–Koopmans model from the policy and production functions. In contrast to similar works, our method ensures the uniqueness of the utility function up to positive affine transformations. Further, we provide a similar result in a stochastic model.

Suggested Citation

  • Hosoya, Yuhki, 2014. "Identification and testable implications of the Ramsey–Cass–Koopmans model," Journal of Mathematical Economics, Elsevier, vol. 50(C), pages 63-68.
    • Handle: RePEc:eee:mateco:v:50:y:2014:i:c:p:63-68
    DOI: 10.1016/j.jmateco.2013.12.001
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0304406813001183
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.jmateco.2013.12.001?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. repec:dau:papers:123456789/13605 is not listed on IDEAS
    2. 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.
    3. Mas-Colell, Andreu, 1977. "The Recoverability of Consumers' Preferences from Market Demand Behavior," Econometrica, Econometric Society, vol. 45(6), pages 1409-1430, September.
    4. Sorger, Gerhard, 1994. "Policy functions of strictly concave optimal growth models," Ricerche Economiche, Elsevier, vol. 48(3), pages 195-212, September.
    5. Cuong Le Van & Rose-Anne Dana, 2003. "Dynamic Programming in Economics," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-00119098, HAL.
    6. repec:dau:papers:123456789/416 is not listed on IDEAS
    7. Tapan Mitra & Gerhard Sorger, 1999. "Rationalizing Policy Functions by Dynamic Optimization," Econometrica, Econometric Society, vol. 67(2), pages 375-392, March.
    8. Benveniste, L M & Scheinkman, J A, 1979. "On the Differentiability of the Value Function in Dynamic Models of Economics," Econometrica, Econometric Society, vol. 47(3), pages 727-732, May.
    9. Boldrin, Michele & Montrucchio, Luigi, 1986. "On the indeterminacy of capital accumulation paths," Journal of Economic Theory, Elsevier, vol. 40(1), pages 26-39, October.
    10. Cuong Le Van & Rose-Anne Dana, 2003. "Dynamic Programming in Economics," Post-Print halshs-00119098, HAL.
    11. Carrera, Carmen & Moran, Manuel, 1995. "General dynamics in overlapping generations models," Journal of Economic Dynamics and Control, Elsevier, vol. 19(4), pages 813-830, May.
    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. John Stachurski, 2009. "Economic Dynamics: Theory and Computation," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262012774, April.
    2. Marius Valentin Boldea, 2006. "On the equilibrium in a discrete-time Lucas Model with endogenous leisure," Cahiers de la Maison des Sciences Economiques b06054, Université Panthéon-Sorbonne (Paris 1).
    3. Camacho, Carmen & Saglam, Cagri & Turan, Agah, 2013. "Strategic interaction and dynamics under endogenous time preference," Journal of Mathematical Economics, Elsevier, vol. 49(4), pages 291-301.
    4. Marius Valentin Boldea, 2006. "On the equilibrium in a discrete-time Lucas Model," Post-Print halshs-00118829, HAL.
    5. Venditti, Alain, 1997. "Strong Concavity Properties of Indirect Utility Functions in Multisector Optimal Growth Models," Journal of Economic Theory, Elsevier, vol. 74(2), pages 349-367, June.
    6. Sorger, Gerhard, 2004. "Consistent planning under quasi-geometric discounting," Journal of Economic Theory, Elsevier, vol. 118(1), pages 118-129, September.
    7. Le Van, Cuong & Schubert, Katheline & Nguyen, Tu Anh, 2010. "With exhaustible resources, can a developing country escape from the poverty trap?," Journal of Economic Theory, Elsevier, vol. 145(6), pages 2435-2447, November.
    8. Olivier Bruno & Cuong Van & Benoît Masquin, 2009. "When does a developing country use new technologies?," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 40(2), pages 275-300, August.
    9. repec:hal:pseptp:hal-03261262 is not listed on IDEAS
    10. Goenka, Aditya & Le Van, Cuong & Nguyen, Manh-Hung, 2012. "Existence Of Competitive Equilibrium In An Optimal Growth Model With Heterogeneous Agents And Endogenous Leisure," Macroeconomic Dynamics, Cambridge University Press, vol. 16(S1), pages 33-51, April.
    11. Pham, Ngoc-Sang & Pham, Thi Kim Cuong, 2020. "Effects of foreign aid on the recipient country’s economic growth," Journal of Mathematical Economics, Elsevier, vol. 86(C), pages 52-68.
    12. Ghiglino, Christian & Venditti, Alain, 2007. "Wealth inequality, preference heterogeneity and macroeconomic volatility in two-sector economies," Journal of Economic Theory, Elsevier, vol. 135(1), pages 414-441, July.
    13. Ha-Huy, Thai & Tran, Nhat Thien, 2020. "A simple characterisation for sustained growth," Journal of Mathematical Economics, Elsevier, vol. 91(C), pages 141-147.
    14. Le Van, Cuong & Pham, Ngoc-Sang & Pham, Thi Kim Cuong, 2023. "Effects of development aid (grants and loans) on the economic dynamics of the recipient country," Mathematical Social Sciences, Elsevier, vol. 125(C), pages 101-112.
    15. Pham, Ngoc-Sang, 2017. "Dividend taxation in an infinite-horizon general equilibrium model," MPRA Paper 80580, University Library of Munich, Germany.
    16. Thai Ha‐Huy & Cuong Le Van & Thi‐Do‐Hanh Nguyen, 2020. "Optimal growth when consumption takes time," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 22(5), pages 1442-1461, September.
    17. N. Hung & C. Le Van & P. Michel, 2009. "Non-convex aggregate technology and optimal economic growth," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 40(3), pages 457-471, September.
    18. Mitra, Tapan & Nishimura, Kazuo, 2001. "Discounting and Long-Run Behavior: Global Bifurcation Analysis of a Family of Dynamical Systems," Journal of Economic Theory, Elsevier, vol. 96(1-2), pages 256-293, January.
    19. Sağlam Çağri & Turan Agah & Turan Hamide, 2014. "Saddle-node bifurcations in an optimal growth model with preferences for wealth habit," Studies in Nonlinear Dynamics & Econometrics, De Gruyter, vol. 18(2), pages 145-156, April.
    20. Cuong Le Van & Thai Ha-Huy & Thi-Do-Hanh Nguyen, 2016. "A One-Sector Optimal Growth Model in Which Consuming Takes Time," Documents de travail du Centre d'Economie de la Sorbonne 16072, Université Panthéon-Sorbonne (Paris 1), Centre d'Economie de la Sorbonne.
    21. Mikhail Ossama, 2005. "Economic Freedom and the Business Cycle: The Egyptian Experience," Review of Middle East Economics and Finance, De Gruyter, vol. 3(1), pages 1-19, April.

    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:eee:mateco:v:50:y:2014:i:c:p:63-68. 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: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/locate/jmateco .

    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.