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Public Capital, Private Capital and Economic Growth

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  • Alberto Bucci

    () (Department of Economics, Management and Quantitative Methods (DEMM) – University of Milan (Italy), and De´partement des Sciences Economiques – Universite´ catholique de Louvain (Louvain-la-Neuve, Belgium))

Abstract

A growth model is presented in which productive government expenditure takes the form of a stock. Private and public capital interact with each other in two ways. The first is related to the specification of the aggregate production function (Cobb-Douglas vs. CES). The second has to do with the rates of investment in the two types of capital, and arises from the law of motion of public capital. The share of public capital devoted to output production can be exogenous or endogenous. In this framework, we analyse how the optimal growth rate of the economy depends on the degree of complementarity/substitutability between the investments in the two kinds of capital, as well as on the elasticity of substitution between the two capital-inputs in the production of goods. Unlike Barro (1990), the relationship between optimal growth and the share of productive government expenditure in GDP is nonlinear and characterized by threshold-effects.

Suggested Citation

  • Alberto Bucci, 2012. "Public Capital, Private Capital and Economic Growth," Rivista Internazionale di Scienze Sociali, Vita e Pensiero, Pubblicazioni dell'Universita' Cattolica del Sacro Cuore, vol. 120(2), pages 149-180.
  • Handle: RePEc:vep:journl:y:2012:v:120:i:2:p:149-180
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    References listed on IDEAS

    as
    1. Aiyar, Shekhar & Dalgaard, Carl-Johan, 2009. "Accounting for productivity: Is it OK to assume that the world is Cobb-Douglas?," Journal of Macroeconomics, Elsevier, vol. 31(2), pages 290-303, June.
    2. Guvenen, Fatih, 2006. "Reconciling conflicting evidence on the elasticity of intertemporal substitution: A macroeconomic perspective," Journal of Monetary Economics, Elsevier, vol. 53(7), pages 1451-1472, October.
    3. Kent Smetters, 2003. "The (Interesting) Dynamic Properties of the Neoclassical Growth Model with CES Production," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 6(3), pages 697-707, July.
    4. Lutfi Erden & Randall G. Holcombe, 2005. "The Effects of Public Investment on Private Investment in Developing Economies," Public Finance Review, , vol. 33(5), pages 575-602, September.
    5. Carlo Favero, 2005. "Consumption, Wealth, the Elasticity of Intertemporal Substitution and Long-Run Stock Market Returns," Working Papers 291, IGIER (Innocenzo Gasparini Institute for Economic Research), Bocconi University.
    6. Attanasio, Orazio P & Browning, Martin, 1995. "Consumption over the Life Cycle and over the Business Cycle," American Economic Review, American Economic Association, vol. 85(5), pages 1118-1137, December.
    7. Duffy, John & Papageorgiou, Chris, 2000. "A Cross-Country Empirical Investigation of the Aggregate Production Function Specification," Journal of Economic Growth, Springer, vol. 5(1), pages 87-120, March.
    8. Duggal, Vijaya G. & Saltzman, Cynthia & Klein, Lawrence R., 2007. "Infrastructure and productivity: An extension to private infrastructure and it productivity," Journal of Econometrics, Elsevier, vol. 140(2), pages 485-502, October.
    9. Futagami, Koichi & Morita, Yuichi & Shibata, Akihisa, 1993. " Dynamic Analysis of an Endogenous Growth Model with Public Capital," Scandinavian Journal of Economics, Wiley Blackwell, vol. 95(4), pages 607-625, December.
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    More about this item

    Keywords

    Economic Growth; Complementarity/Substitutability; Public Capital; Private Capital;

    JEL classification:

    • O41 - Economic Development, Innovation, Technological Change, and Growth - - Economic Growth and Aggregate Productivity - - - One, Two, and Multisector Growth Models
    • E60 - Macroeconomics and Monetary Economics - - Macroeconomic Policy, Macroeconomic Aspects of Public Finance, and General Outlook - - - General
    • H54 - Public Economics - - National Government Expenditures and Related Policies - - - Infrastructures

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