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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.

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Bibliographic Info

Paper provided by Dipartimento di Economia e Management (DEM), University of Pisa, Pisa, Italy in its series Discussion Papers with number 2004/29.

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Date of creation: 01 Jan 2004
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Handle: RePEc:pie:dsedps:2004/29

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

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References

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  1. 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.
  2. Magill, Michael J P, 1981. "Infinite Horizon Programs," Econometrica, Econometric Society, vol. 49(3), pages 679-711, May.
  3. Giuseppe Freni & Fausto Gozzi & Neri Salvadori, 2006. "Existence of optimal strategies in linear multisector models," Economic Theory, Springer, vol. 29(1), pages 25-48, September.
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Citations

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Cited by:
  1. Freni, Giuseppe & Gozzi, Fausto & Salvadori, Neri, 2009. "Existence of Optimal Strategies in Linear Multisector Models with several consumption goods," MPRA Paper 18766, University Library of Munich, Germany.
  2. Luciano Fanti & Luca Gori, 2009. "Child policy solutions for the unemployment problem," Discussion Papers 2009/76, Dipartimento di Economia e Management (DEM), University of Pisa, Pisa, Italy.
  3. Luciano Fanti & Luca Gori, 2009. "On economic growth and minimum wages," Discussion Papers 2009/78, Dipartimento di Economia e Management (DEM), University of Pisa, Pisa, Italy.
  4. 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.
  5. 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.
  6. Giuseppe Freni & Fausto Gozzi & Neri Salvadori, 2006. "Existence of optimal strategies in linear multisector models," Economic Theory, Springer, vol. 29(1), pages 25-48, September.
  7. 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.
  8. 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.
  9. 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.
  10. 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.
  11. 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.
  12. 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.
  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. 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.
  15. 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.
  16. Freni, Giuseppe, 2009. "Factor intensity and order of resource extraction," MPRA Paper 18790, University Library of Munich, Germany.

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