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Existence of Optimal Strategies in linear Multisector Models

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  • Giuseppe Freni
  • Fausto Gozzi
  • Neri Salvadori

Abstract

In this paper we give a sufficient and almost necessary condition for the existence of optimal strategies in linear multisector models when time is continuous, consumption is limited to one commodity, the instantaneous utility is of the CES type, and available technology allows a positive growth rate.

Suggested Citation

  • Giuseppe Freni & Fausto Gozzi & Neri Salvadori, 2004. "Existence of Optimal Strategies in linear Multisector Models," Discussion Papers 2004/29, Dipartimento di Economia e Management (DEM), University of Pisa, Pisa, Italy.
  • Handle: RePEc:pie:dsedps:2004/29
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    File URL: http://www.ec.unipi.it/documents/Ricerca/papers/2004-29.pdf
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    References listed on IDEAS

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    1. Magill, Michael J P, 1981. "Infinite Horizon Programs," Econometrica, Econometric Society, vol. 49(3), pages 679-711, May.
    2. Giuseppe Freni & Fausto Gozzi & Neri Salvadori, 2006. "Existence of optimal strategies in linear multisector models," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 29(1), pages 25-48, September.
    3. Becker, Robert A. & Boyd, John III & Sung, Bom Yong, 1989. "Recursive utility and optimal capital accumulation. I. Existence," Journal of Economic Theory, Elsevier, vol. 47(1), pages 76-100, February.
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    Cited by:

    1. Fanti, Luciano & Gori, Luca, 2010. "Child policy solutions for the unemployment problem," Economics Letters, Elsevier, vol. 109(3), pages 147-149, December.
    2. Fabbri, G. & Faggian, S. & Freni, G., 2018. "Spatial resource wars: A two region example," Working Papers 2018-04, Grenoble Applied Economics Laboratory (GAEL).
    3. Mauro Bambi & Cristina Girolami & Salvatore Federico & Fausto Gozzi, 2017. "Generically distributed investments on flexible projects and endogenous growth," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 63(2), pages 521-558, February.
    4. repec:spr:decfin:v:40:y:2017:i:1:d:10.1007_s10203-017-0193-9 is not listed on IDEAS
    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. 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.
    7. Giuseppe Freni & Fausto Gozzi & Neri Salvadori, 2006. "Existence of optimal strategies in linear multisector models," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 29(1), pages 25-48, September.
    8. Fabbri, Giorgio & Gozzi, Fausto, 2008. "Solving optimal growth models with vintage capital: The dynamic programming approach," Journal of Economic Theory, Elsevier, vol. 143(1), pages 331-373, November.
    9. 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.
    10. Luciano Fanti & Luca Gori, 2011. "On economic growth and minimum wages," Journal of Economics, Springer, vol. 103(1), pages 59-82, May.
    11. Bambi, Mauro & Gozzi, Fausto & Licandro, Omar, 2014. "Endogenous growth and wave-like business fluctuations," Journal of Economic Theory, Elsevier, vol. 154(C), pages 68-111.
    12. Freni, Giuseppe & Gozzi, Fausto & Pignotti, Cristina, 2008. "Optimal strategies in linear multisector models: Value function and optimality conditions," Journal of Mathematical Economics, Elsevier, vol. 44(1), pages 55-86, January.
    13. Fabbri, Giorgio & Gozzi, Fausto, 2006. "Vintage Capital in the AK growth model: a Dynamic Programming approach. Extended version," MPRA Paper 7334, University Library of Munich, Germany.
    14. repec:spr:joptap:v:173:y:2017:i:2:d:10.1007_s10957-017-1073-8 is not listed on IDEAS
    15. Manuela Gussoni - Andrea Mangani, 2009. "The impact of public funding for innovation on firms' R&D investments: Do R&D cooperation and appropriability matter?," Discussion Papers 2009/90, Dipartimento di Economia e Management (DEM), University of Pisa, Pisa, Italy.
    16. Freni, Giuseppe, 2009. "Factor intensity and order of resource extraction," MPRA Paper 18790, University Library of Munich, Germany.
    17. 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.
    18. 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.
    19. 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.
    20. Freni, Giuseppe, 2016. "Back to the Sixties: A Note on Multi-Primary-Factor Linear Models with Homogeneous Capital," MPRA Paper 73677, University Library of Munich, Germany.
    21. 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.
    22. Mauro Bambi & Cristina Di Girolami & Salvatore Federico & Fausto Gozzi, 2014. "On the Consequences of Generically Distributed Investments on Flexible Projects in an Endogenous Growth Model," Discussion Papers 14/15, Department of Economics, University of York.
    23. 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.
    24. Giuseppe Freni & Fausto Gozzi & Neri Salvadori, 2017. "Existence of optimal strategies in linear multisector models with several consumption goods," Decisions in Economics and Finance, Springer;Associazione per la Matematica, vol. 40(1), pages 199-229, November.
    25. 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.

    More about this item

    Keywords

    Endogenous growth; AK model; optimal control with mixed constraints; von Neumann growth model;

    JEL classification:

    • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis
    • C62 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Existence and Stability Conditions of Equilibrium
    • C41 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: Special Topics - - - Duration Analysis; Optimal Timing Strategies
    • C67 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Input-Output Models
    • D91 - Microeconomics - - Micro-Based Behavioral Economics - - - Role and Effects of Psychological, Emotional, Social, and Cognitive Factors on Decision Making

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