IDEAS home Printed from https://ideas.repec.org/p/wpa/wuwpge/0207003.html
   My bibliography  Save this paper

Explicit Transitional Dynamics in Growth Models

Author

Listed:
  • Danyang Xie

Abstract

Transitional dynamics in growth models have been subject to much attention recently. With a few exceptions, existing studies rely on computational techniques. This paper uses a set of examples to illustrate that qualitative insights on the transitional dynamics can be gained at the expense of using special utility-production pairs. In continuous time framework, necessary and sufficient conditions are established for a utility-production pair to yield explicit dynamics. These conditions are potentially useful for applications in other dynamic settings.

Suggested Citation

  • Danyang Xie, 2002. "Explicit Transitional Dynamics in Growth Models," GE, Growth, Math methods 0207003, University Library of Munich, Germany.
  • Handle: RePEc:wpa:wuwpge:0207003
    Note: Type of Document - Acrobat PDF; prepared on PC; to print on HP; pages: 24; figures: none
    as

    Download full text from publisher

    File URL: https://econwpa.ub.uni-muenchen.de/econ-wp/ge/papers/0207/0207003.pdf
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Romer, Paul M, 1986. "Increasing Returns and Long-run Growth," Journal of Political Economy, University of Chicago Press, vol. 94(5), pages 1002-1037, October.
    2. Hansen, Gary D., 1985. "Indivisible labor and the business cycle," Journal of Monetary Economics, Elsevier, vol. 16(3), pages 309-327, November.
    3. Neumann, Dean & O'Brien, Thomas & Hoag, John & Kim, Kyoo, 1988. "Policy functions for capital accumulation paths," Journal of Economic Theory, Elsevier, vol. 46(1), pages 205-214, October.
    4. Gong, Liutang & Zou, Heng-fu, 2002. "Direct preferences for wealth, the risk premium puzzle, growth, and policy effectiveness," Journal of Economic Dynamics and Control, Elsevier, vol. 26(2), pages 247-270, February.
    5. Benhabib Jess & Perli Roberto, 1994. "Uniqueness and Indeterminacy: On the Dynamics of Endogenous Growth," Journal of Economic Theory, Elsevier, vol. 63(1), pages 113-142, June.
    6. Bennett T. McCallum, 1988. "Real Business Cycle Models," NBER Working Papers 2480, National Bureau of Economic Research, Inc.
    7. Kazuo Mino, 2004. "Human Capital Formation and Patterns of Growth with Multiple Equilibria," Chapters, in: Michele Boldrin & Been-Lon Chen & Ping Wang (ed.), Human Capital, Trade and Public Policy in Rapidly Growing Economies, chapter 3, pages 42-64, Edward Elgar Publishing.
    8. Casey B. Mulligan & Xavier Sala-i-Martin, 1993. "Transitional Dynamics in Two-Sector Models of Endogenous Growth," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 108(3), pages 739-773.
    9. Rogerson, Richard, 1988. "Indivisible labor, lotteries and equilibrium," Journal of Monetary Economics, Elsevier, vol. 21(1), pages 3-16, January.
    10. Xie Danyang, 1994. "Divergence in Economic Performance: Transitional Dynamics with Multiple Equilibria," Journal of Economic Theory, Elsevier, vol. 63(1), pages 97-112, June.
    11. Devarajan, Shantayanan & Danyang, Xie & Zou, Heng-fu, 1998. "Should public capital be subsidized or provided?," Journal of Monetary Economics, Elsevier, vol. 41(2), pages 319-331, April.
    12. Long, John B, Jr & Plosser, Charles I, 1983. "Real Business Cycles," Journal of Political Economy, University of Chicago Press, vol. 91(1), pages 39-69, February.
    13. Zou, Heng-fu, 1994. "'The spirit of capitalism' and long-run growth," European Journal of Political Economy, Elsevier, vol. 10(2), pages 279-293, July.
    14. Xie, Danyang, 1991. "Increasing Returns and Increasing Rates of Growth," Journal of Political Economy, University of Chicago Press, vol. 99(2), pages 429-435, April.
    15. Benhabib, Jess & Rustichini, Aldo, 1994. "A note on a new class of solutions to dynamic programming problems arising in economic growth," Journal of Economic Dynamics and Control, Elsevier, vol. 18(3-4), pages 807-813.
    16. Rebelo, Sergio & Xie, Danyang, 1999. "On the optimality of interest rate smoothing," Journal of Monetary Economics, Elsevier, vol. 43(2), pages 263-282, April.
    17. Chang, Fwu-Ranq, 1988. "The Inverse Optimal Problem: A Dynamic Programming Approach," Econometrica, Econometric Society, vol. 56(1), pages 147-172, January.
    18. Day, Richard H, 1982. "Irregular Growth Cycles," American Economic Review, American Economic Association, vol. 72(3), pages 406-414, June.
    19. Lucas, Robert Jr., 1988. "On the mechanics of economic development," Journal of Monetary Economics, Elsevier, vol. 22(1), pages 3-42, July.
    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. Posch, Olaf, 2009. "Structural estimation of jump-diffusion processes in macroeconomics," Journal of Econometrics, Elsevier, vol. 153(2), pages 196-210, December.
    2. De, Supriyo, 2014. "Intangible capital and growth in the ‘new economy’: Implications of a multi-sector endogenous growth model," Structural Change and Economic Dynamics, Elsevier, vol. 28(C), pages 25-42.
    3. Benhabib Jess & Farmer Roger E. A., 1994. "Indeterminacy and Increasing Returns," Journal of Economic Theory, Elsevier, vol. 63(1), pages 19-41, June.
    4. Hongyi Li & Danyang Xie & Heng‐Fu Zou, 2000. "Dynamics of income distribution," Canadian Journal of Economics/Revue canadienne d'économique, John Wiley & Sons, vol. 33(4), pages 937-961, November.
    5. Benhabib, Jess & Gali, Jordi, 1995. "On growth and indeterminacy: some theory and evidence," Carnegie-Rochester Conference Series on Public Policy, Elsevier, vol. 43(1), pages 163-211, December.
    6. Jha, Sailesh K. & Wang, Ping & Yip, Chong K., 2002. "Dynamics in a transactions-based monetary growth model," Journal of Economic Dynamics and Control, Elsevier, vol. 26(4), pages 611-635, April.
    7. Kejak, Michal, 2003. "Stages of growth in economic development," Journal of Economic Dynamics and Control, Elsevier, vol. 27(5), pages 771-800, March.
    8. Brito, Paulo & Venditti, Alain, 2010. "Local and global indeterminacy in two-sector models of endogenous growth," Journal of Mathematical Economics, Elsevier, vol. 46(5), pages 893-911, September.
    9. Devarajan, Shantayanan & Danyang, Xie & Zou, Heng-fu, 1998. "Should public capital be subsidized or provided?," Journal of Monetary Economics, Elsevier, vol. 41(2), pages 319-331, April.
    10. Hyun Park, 2015. "Aggregate Instability and Fiscal Policies: Balanced Budget Rules and Productive Public Spending," Korean Economic Review, Korean Economic Association, vol. 31, pages 25-56.
    11. Kamihigashi, Takashi, 1996. "Real business cycles and sunspot fluctuations are observationally equivalent," Journal of Monetary Economics, Elsevier, vol. 37(1), pages 105-117, February.
    12. Chen, Hung- Ju, 2011. "Social status, human capital formation and super-neutrality in a two-sector monetary economy," Economic Modelling, Elsevier, vol. 28(3), pages 785-794, May.
    13. Stefano Bosi & Carmen Camacho & Thai Ha-Huy, 2023. "On the uniqueness of the optimal path in a discrete-time model à la Lucas (1988)," PSE Working Papers halshs-03920386, HAL.
    14. Jing Dang & Max Gillman & Michal Kejak, 2011. "Real Business Cycles with a Human Capital Investment Sector and Endogenous Growth: Persistence, Volatility and Labor Puzzles," CERS-IE WORKING PAPERS 1128, Institute of Economics, Centre for Economic and Regional Studies.
    15. Turnovsky, S., 2000. "Growth in an Open Economy: some Recent Developments," Papers 5, Warwick - Development Economics Research Centre.
    16. Thorsten Wichmann, 1995. "Food Consumption and Growth in a Two Sector Economy - A Theoretical Model and Numerical Simulations," Berlecon Research Papers 0001, Berlecon Research.
    17. Kazuo Mino & Kazuo Nishimura & Koji Shimomura & Ping Wang, 2008. "Equilibrium dynamics in discrete-time endogenous growth models with social constant returns," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 34(1), pages 1-23, January.
    18. Benhabib, Jess & Perli, Roberto & Xie, Danyang, 1994. "Monopolistic competition, indeterminacy and growth," MPRA Paper 37411, University Library of Munich, Germany, revised 1994.
    19. J. R. Ruiz-Tamarit & M. Ventura-Marco, "undated". "The Reduction of Dimension in the Study of Economic Growth Models," Working Papers 2001-13, FEDEA.
    20. Xie Danyang, 1994. "Divergence in Economic Performance: Transitional Dynamics with Multiple Equilibria," Journal of Economic Theory, Elsevier, vol. 63(1), pages 97-112, June.

    More about this item

    Keywords

    Transitional Dynamics; Growth;

    JEL classification:

    • O41 - Economic Development, Innovation, Technological Change, and Growth - - Economic Growth and Aggregate Productivity - - - One, Two, and Multisector Growth Models
    • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis
    • E21 - Macroeconomics and Monetary Economics - - Consumption, Saving, Production, Employment, and Investment - - - Consumption; Saving; Wealth

    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:0207003. 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: EconWPA (email available below). General contact details of provider: https://econwpa.ub.uni-muenchen.de .

    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.