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Social infrastructure and the preservation of physical capital: Equilibria and transitional dynamics

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  • Soares, Helena
  • Sequeira, Tiago Neves
  • Marques, Pedro Macias
  • Gomes, Orlando
  • Ferreira-Lopes, Alexandra

Abstract

We study the mechanisms according to which social infrastructure influences the preservation of physical capital and, consequently, economic growth. The model considers that social infrastructure is a specific type of human capital, which acts in order to preserve already existing physical capital, by, e.g., reducing the incentive for rent seeking or corruption. Using an innovative methodology in economics, the Gröbner bases, we study the equilibrium of our model and conclude for the existence of two feasible steady-states or of unicity according to different combinations of parameters, highlighting a trade-off between consumption and production on one hand and social infrastructure and physical capital accumulation, on the other. We also present sufficient conditions for saddle-path stability. Finally, we describe transitional dynamics and calculate welfare effects from which we show that strengthening social infrastructure increases welfare.

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  • Soares, Helena & Sequeira, Tiago Neves & Marques, Pedro Macias & Gomes, Orlando & Ferreira-Lopes, Alexandra, 2018. "Social infrastructure and the preservation of physical capital: Equilibria and transitional dynamics," Applied Mathematics and Computation, Elsevier, vol. 321(C), pages 614-632.
    • Handle: RePEc:eee:apmaco:v:321:y:2018:i:c:p:614-632
    DOI: 10.1016/j.amc.2017.10.056
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    More about this item

    Keywords

    Social infrastructure; Physical capital depreciation; Endogenous growth; Multiple equilibria; Gröbner bases;
    All these keywords.

    JEL classification:

    • C02 - Mathematical and Quantitative Methods - - General - - - Mathematical Economics
    • C62 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Existence and Stability Conditions of Equilibrium
    • O41 - Economic Development, Innovation, Technological Change, and Growth - - Economic Growth and Aggregate Productivity - - - One, Two, and Multisector Growth Models
    • O43 - Economic Development, Innovation, Technological Change, and Growth - - Economic Growth and Aggregate Productivity - - - Institutions and Growth

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