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Optimal strategies in linear multisector models: Value function and optimality conditions

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  • Freni, Giuseppe
  • Gozzi, Fausto
  • Pignotti, Cristina

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  • 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.
    • Handle: RePEc:eee:mateco:v:44:y:2008:i:1:p:55-86
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    1. Barucci, Emilio & Gozzi, Fausto & Swiech, Andrzej, 2000. "Incentive compatibility constraints and dynamic programming in continuous time," Journal of Mathematical Economics, Elsevier, vol. 34(4), pages 471-508, December.
    2. Fausto Gozzi & Giuseppe Freni, 2001. "On a Dynamic Non-Substitution Theorem and Other Issues in Burgstaller's Property and Prices," Metroeconomica, Wiley Blackwell, vol. 52(2), pages 181-196, May.
    3. 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.
    4. 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.
    5. Tyrrell Rockafellar, R., 1976. "Saddle points of Hamiltonian systems in convex Lagrange problems having a nonzero discount rate," Journal of Economic Theory, Elsevier, vol. 12(1), pages 71-113, February.
    6. Jensen, Martin Kaae, 2006. "On unbounded growth with heterogenous consumers," Journal of Mathematical Economics, Elsevier, vol. 42(7-8), pages 807-826, November.
    7. 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.
    8. Magill, Michael J P, 1981. "Infinite Horizon Programs," Econometrica, Econometric Society, vol. 49(3), pages 679-711, May.
    9. Neri Salvadori (ed.), 2003. "The Theory of Economic Growth," Books, Edward Elgar Publishing, number 2741.
    10. McKenzie, Lionel W, 1998. "Turnpikes," American Economic Review, American Economic Association, vol. 88(2), pages 1-14, May.
    11. Lucas, Robert Jr., 1988. "On the mechanics of economic development," Journal of Monetary Economics, Elsevier, vol. 22(1), pages 3-42, July.
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    1. 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.
    2. 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.
    3. Fausto Gozzi & Marta Leocata & Giulia Pucci, 2024. "Network-Based Optimal Control of Pollution Growth," Papers 2406.15338, arXiv.org, revised Jan 2026.
    4. Calvia, Alessandro & Gozzi, Fausto & Leocata, Marta & Papayiannis, Georgios I. & Xepapadeas, Anastasios & Yannacopoulos, Athanasios N., 2024. "An optimal control problem with state constraints in a spatio-temporal economic growth model on networks," Journal of Mathematical Economics, Elsevier, vol. 113(C).
    5. Giuseppe Freni, 2016. "Order of resource extraction and factor intensity," Discussion Papers 3_2016, CRISEI, University of Naples "Parthenope", Italy.
    6. 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.
    7. Freni, Giuseppe, 2009. "Factor intensity and order of resource extraction," MPRA Paper 18790, University Library of Munich, Germany.
    8. Mauro Bambi & Daria Ghilli & Fausto Gozzi & Marta Leocata, 2025. "Optimal planning in habit formation models with multiple goods," Decisions in Economics and Finance, Springer;Associazione per la Matematica, vol. 48(1), pages 205-222, June.
    9. Alessandro Calvia & Fausto Gozzi & Francesco Lippi & Giovanni Zanco, 2024. "A simple planning problem for COVID-19 lockdown: a dynamic programming approach," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 77(1), pages 169-196, February.
    10. Augeraud-Veron, Emmanuelle & Boucekkine, Raouf & Gozzi, Fausto & Venditti, Alain & Zou, Benteng, 2024. "Fifty years of mathematical growth theory: Classical topics and new trends," Journal of Mathematical Economics, Elsevier, vol. 111(C).

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