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On the Stability of Balanced Growth


  • Jan Wenzelburger

    () (Keele University, Centre for Economic Research and School of Economic and Management Studies)

  • Volker Böhm

    (Dept. of Business Administration and Economics, Bielefeld University,)

  • Thorsten Pampel

    (Dept. of Business Administration and Economics, Bielefeld University,)


Common folklore in growth theory suggests that the stability of balanced growth paths in the capital-labor space is essentially guaranteed by conditions which imply stability of the corresponding steady states of the models in intensity form. We show by means of simple examples that, in general, these well-known conditions are only necessary. For a class of deterministic growth models with discrete time we provide new structural insights into the nature of this phenomenon by stating additional requirements that ensure stability of balanced growth paths in the original capital-labor space. We introduce a notion of path-wise convergence for stochastic growth models and generalize our sufficient conditions to the stochastic case.

Suggested Citation

  • Jan Wenzelburger & Volker Böhm & Thorsten Pampel, 2007. "On the Stability of Balanced Growth," Keele Economics Research Papers KERP 2007/09, Centre for Economic Research, Keele University.
  • Handle: RePEc:kee:kerpuk:2007/09

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    Cited by:

    1. Thorsten Pampel, 2009. "On the Dynamics of Basic Growth Models: Ratio Stability vs. Convergence and Divergence in State Space," German Economic Review, Verein für Socialpolitik, vol. 10, pages 384-400, November.
    2. Palmisani, Cesare, 2008. "Una rassegna su alcuni modelli di crescita economica tipo Solow con dinamica caotica," MPRA Paper 9506, University Library of Munich, Germany.
    3. Cesare PALMISANI, 2008. "A Short Survey On Chaotic Dynamics In Solow-Type Growth Models," Journal of Applied Economic Sciences, Spiru Haret University, Faculty of Financial Management and Accounting Craiova, vol. 3(3(5)_Fall), pages 270-280.
    4. Böhm, Volker, 2014. "Rational Expectations and the Stability of Balanced Monetary Development," Annual Conference 2014 (Hamburg): Evidence-based Economic Policy 100423, Verein für Socialpolitik / German Economic Association.

    More about this item


    Balanced growth; stability conditions; stochastic growth; pathwise convergence.;

    JEL classification:

    • O41 - Economic Development, Innovation, Technological Change, and Growth - - Economic Growth and Aggregate Productivity - - - One, Two, and Multisector Growth Models

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