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Notes on Continuous Dynamic Models: the Benhabib-Farmer Condition for Indeterminacy

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  • Marco Guerrazzi

Abstract

In these notes, starting from the discrete case, we provide some useful insights on the way in which are derived the necessary (and sometime) sufficient conditions for the solution of a maximum problem developed in continuous time. Moreover, we exploit such conditions to solve the Benhabib-Farmer (1994) model deriving the condition for an indeterminate equilibrium path. Finally, referring to the equilibrium condition of the labour market, we explain the mechanism that in the one-sector optimal growth model leads prophecies to be self-fulfilling.

Suggested Citation

  • Marco Guerrazzi, 2005. "Notes on Continuous Dynamic Models: the Benhabib-Farmer Condition for Indeterminacy," Discussion Papers 2005/54, Dipartimento di Economia e Management (DEM), University of Pisa, Pisa, Italy.
    • Handle: RePEc:pie:dsedps:2005/54
    Note: ISSN 2039-1854
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    File URL: https://www.ec.unipi.it/documents/Ricerca/papers/2005-54.pdf
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    Cited by:

    1. Luciano Fanti & Luca Gori, 2012. "Endogenous Lifetime in an Overlapping-Generations Small Open Economy," FinanzArchiv: Public Finance Analysis, Mohr Siebeck, Tübingen, vol. 68(2), pages 121-152, June.
    2. Luciano Fanti & Luca Gori, 2011. "On economic growth and minimum wages," Journal of Economics, Springer, vol. 103(1), pages 59-82, May.
    3. Manuela Gussoni & Andrea Mangani, 2012. "The Impact of Public Funding for Innovation on Firms' R&D Investments: Do R&D Cooperation and Appropriability Matter?," L'industria, Società editrice il Mulino, issue 2, pages 237-254.
    4. Fanti, Luciano & Gori, Luca, 2010. "Child policy solutions for the unemployment problem," Economics Letters, Elsevier, vol. 109(3), pages 147-149, December.
    5. Luciano Fanti & Luca Gori, 2009. "Longevity, fertility and PAYG pension systems sustainability," Discussion Papers 2009/77, Dipartimento di Economia e Management (DEM), University of Pisa, Pisa, Italy.
    6. Lorenzo Corsini & Pier Mario Pacini & Luca Spataro, 2010. "Workers' Choice on Pension Schemes: an Assessment of the Italian TFR Reform Through Theory and Simulations," Discussion Papers 2010/96, Dipartimento di Economia e Management (DEM), University of Pisa, Pisa, Italy.
    7. Lorenzo Corsini & Elisabetta Olivieri, 2008. "Technological Change and the Wage Differential between Skilled and Unskilled Workers: Evidence from Italy," Discussion Papers 2008/73, Dipartimento di Economia e Management (DEM), University of Pisa, Pisa, Italy.
    8. Luca Gori, 2009. "Endogenous fertility, family policy and multiple equilibria," Discussion Papers 2009/79, Dipartimento di Economia e Management (DEM), University of Pisa, Pisa, Italy.
    9. Luciano Fanti & Luca Gori, 2009. "Endogenous fertility, endogenous lifetime and economic growth: the role of health and child policies," Discussion Papers 2009/91, Dipartimento di Economia e Management (DEM), University of Pisa, Pisa, Italy.
    10. Maurizio Lisciandra, 2007. "The Role of Reciprocating Behaviour in Contract Choice," Discussion Papers 2007/65, Dipartimento di Economia e Management (DEM), University of Pisa, Pisa, Italy.
    11. Luciano Fanti & Luca Gori, 2008. "PAYG pensions and economic cycles: exogenous versus endogenous fertility," Discussion Papers 2008/75, Dipartimento di Economia e Management (DEM), University of Pisa, Pisa, Italy.

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    More about this item

    Keywords

    Maximum Problems in Continuous Time; Indeterminate Equilibria; and Self-Fulfilling Prophecies;
    All these keywords.

    JEL classification:

    • E00 - Macroeconomics and Monetary Economics - - General - - - General
    • E3 - Macroeconomics and Monetary Economics - - Prices, Business Fluctuations, and Cycles
    • O40 - Economic Development, Innovation, Technological Change, and Growth - - Economic Growth and Aggregate Productivity - - - General

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