IDEAS home Printed from https://ideas.repec.org/p/pie/dsedps/2004-29.html
   My bibliography  Save this paper

Existence of Optimal Strategies in linear Multisector Models

Author

Listed:
  • 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
    Note: ISSN 2039-1854
    as

    Download full text from publisher

    File URL: https://www.ec.unipi.it/documents/Ricerca/papers/2004-29.pdf
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Magill, Michael J P, 1981. "Infinite Horizon Programs," Econometrica, Econometric Society, vol. 49(3), pages 679-711, May.
    2. Morishima, Michio, 1969. "Theory of Economic Growth," OUP Catalogue, Oxford University Press, number 9780198281641.
    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.
    4. McKenzie, Lionel W, 1998. "Turnpikes," American Economic Review, American Economic Association, vol. 88(2), pages 1-14, May.
    5. 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.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. 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.
    2. 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.
    3. Charalambos Aliprantis & Kim Border & Owen Burkinshaw, 1996. "Market economies with many commodities," Decisions in Economics and Finance, Springer;Associazione per la Matematica, vol. 19(1), pages 113-185, March.
    4. 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.
    5. Mitra, Tapan, 2002. "Intertemporal Equity and Efficient Allocation of Resources," Journal of Economic Theory, Elsevier, vol. 107(2), pages 356-376, December.
    6. Hippolyte d’Albis & Pascal Gourdel & Cuong Le Van, 2008. "Existence of solutions in continuous-time optimal growth models," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 37(2), pages 321-333, November.
    7. Drugeon, Jean-Pierre & Wigniolle, Bertrand, 2007. "On time preference, rational addiction and utility satiation," Journal of Mathematical Economics, Elsevier, vol. 43(3-4), pages 249-286, April.
    8. Roberto Veneziani & Naoki Yoshihara, 2017. "Globalisation and inequality in a dynamic economy: an axiomatic analysis of unequal exchange," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 49(3), pages 445-468, December.
    9. Kazuhiro Kurose, 2022. "A two-class economy from the multi-sectoral perspective: the controversy between Pasinetti and Meade–Hahn–Samuelson–Modigliani revisited," Evolutionary and Institutional Economics Review, Springer, vol. 19(1), pages 239-270, April.
    10. Le Kama, Alain Ayong & Schubert, Katheline, 2007. "A Note On The Consequences Of An Endogenous Discounting Depending On The Environmental Quality," Macroeconomic Dynamics, Cambridge University Press, vol. 11(2), pages 272-289, April.
    11. Z. M. Berrebi, 1981. "Comparaison de techniques et normes des prix," Revue Économique, Programme National Persée, vol. 32(5), pages 965-970.
    12. I. V. Evstigneev & M. I. Taksar, 2001. "Stochastic Economies with Locally Interacting Agents," Working Papers 01-03-018, Santa Fe Institute.
    13. Boucekkine, Raouf & Fabbri, Giorgio & Federico, Salvatore & Gozzi, Fausto, 2022. "Managing spatial linkages and geographic heterogeneity in dynamic models with transboundary pollution," Journal of Mathematical Economics, Elsevier, vol. 98(C).
    14. Heinz D. Kurz, 2011. "The Contributions of Two Eminent Japanese Scholars to the Development of Economic Theory: Michio Morishima and Takashi Negishi," Chapters, in: Heinz D. Kurz & Tamotsu Nishizawa & Keith Tribe (ed.), The Dissemination of Economic Ideas, chapter 13, Edward Elgar Publishing.
    15. Fabbri, Giorgio & Faggian, Silvia & Freni, Giuseppe, 2024. "On competition for spatially distributed resources in networks," Theoretical Economics, Econometric Society, vol. 19(2), May.
    16. 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.
    17. Joshi, Sumit, 2003. "The stochastic turnpike property without uniformity in convex aggregate growth models," Journal of Economic Dynamics and Control, Elsevier, vol. 27(7), pages 1289-1315, May.
    18. Obstfeld, Maurice, 1990. "Intertemporal dependence, impatience, and dynamics," Journal of Monetary Economics, Elsevier, vol. 26(1), pages 45-75, August.
    19. Schumacher, Ingmar, 2011. "Endogenous discounting and the domain of the felicity function," Economic Modelling, Elsevier, vol. 28(1-2), pages 574-581, January.
    20. Giacomo Costa, 2014. "Augusto Graziani on the walrasian capital formation model," STUDI ECONOMICI, FrancoAngeli Editore, vol. 2014(112), pages 31-52.

    More about this item

    Keywords

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

    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

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:pie:dsedps:2004/29. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: the person in charge (email available below). General contact details of provider: https://edirc.repec.org/data/dspisit.html .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.