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Existence of optimal strategies in linear multisector models with several consumption goods

Author

Listed:
  • Giuseppe Freni

    (University of Naples “Parthenope”)

  • Fausto Gozzi

    (Università LUISS - Guido Carli)

  • Neri Salvadori

    (Università di Pisa)

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.

Suggested Citation

  • 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.
    • Handle: RePEc:spr:decfin:v:40:y:2017:i:1:d:10.1007_s10203-017-0193-9
    DOI: 10.1007/s10203-017-0193-9
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    1. Piyabha Kongsamut & Sergio Rebelo & Danyang Xie, 2001. "Beyond Balanced Growth," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 68(4), pages 869-882.
    2. L. Rachel Ngai & Christopher A. Pissarides, 2007. "Structural Change in a Multisector Model of Growth," American Economic Review, American Economic Association, vol. 97(1), pages 429-443, March.
    3. Daron Acemoglu & Veronica Guerrieri, 2008. "Capital Deepening and Nonbalanced Economic Growth," Journal of Political Economy, University of Chicago Press, vol. 116(3), pages 467-498, June.
    4. 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.
    5. Magill, Michael J P, 1981. "Infinite Horizon Programs," Econometrica, Econometric Society, vol. 49(3), pages 679-711, May.
    6. 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.
    7. J. v. Neumann, 1945. "A Model of General Economic Equilibrium," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 13(1), pages 1-9.
    8. 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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    More about this item

    Keywords

    Endogenous growth; Optimal control with mixed constraints; von Neumann growth model;
    All these keywords.

    JEL classification:

    • 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

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