IDEAS home Printed from https://ideas.repec.org/p/bol/bodewp/672.html
   My bibliography  Save this paper

Oligopoly with Hyperbolic Demand and Capital Accumulation

Author

Listed:
  • L. Lambertini

Abstract

A dynamic approach is proposed for the analysis of the Cournot oligopoly game with hyperbolic demand, showing that the adoption of capital accumulation dynamics either `a la Solow-Swan or `a la Ramsey eliminate the indeterminacy problem characterising the static model when marginal costs are nil. It is proved that the steady state equilibria produced by both models are stable in the saddle point sense. Finally, it is also shown that the solutions of the corresponding feedback problems share analogous properties, although they cannot be fully characterised from an analytical standpoint

Suggested Citation

  • L. Lambertini, 2009. "Oligopoly with Hyperbolic Demand and Capital Accumulation," Working Papers 672, Dipartimento Scienze Economiche, Universita' di Bologna.
  • Handle: RePEc:bol:bodewp:672
    as

    Download full text from publisher

    File URL: http://amsacta.unibo.it/4573/1/672.pdf
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Caputo, Michael R., 2007. "The envelope theorem for locally differentiable Nash equilibria of finite horizon differential games," Games and Economic Behavior, Elsevier, vol. 61(2), pages 198-224, November.
    2. Robert M. Solow, 1956. "A Contribution to the Theory of Economic Growth," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 70(1), pages 65-94.
    3. T. W. Swan, 1956. "ECONOMIC GROWTH and CAPITAL ACCUMULATION," The Economic Record, The Economic Society of Australia, vol. 32(2), pages 334-361, November.
    4. Calzolari, Giacomo & Lambertini, Luca, 2007. "Export restraints in a model of trade with capital accumulation," Journal of Economic Dynamics and Control, Elsevier, vol. 31(12), pages 3822-3842, December.
    5. L. Lambertini, 2010. "Oligopoly with Hyperbolic Demand: A Differential Game Approach," Journal of Optimization Theory and Applications, Springer, vol. 145(1), pages 108-119, April.
    6. Cellini, Roberto & Lambertini, Luca, 1998. "A Dynamic Model of Differentiated Oligopoly with Capital Accumulation," Journal of Economic Theory, Elsevier, vol. 83(1), pages 145-155, November.
    7. Anderson, Simon P. & Engers, Maxim, 1992. "Stackelberg versus Cournot oligopoly equilibrium," International Journal of Industrial Organization, Elsevier, vol. 10(1), pages 127-135, March.
    8. Anderson, Simon P & Engers, Maxim, 1994. "Strategic Investment and Timing of Entry," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 35(4), pages 833-853, November.
    9. Swan, Trevor W, 2002. "Economic Growth," The Economic Record, The Economic Society of Australia, vol. 78(243), pages 375-380, December.
    10. Giacomo Calzolari & Luca Lambertini, 2006. "Tariffs vs Quotas in a Model of Trade with Capital Accumulation," Review of International Economics, Wiley Blackwell, vol. 14(4), pages 632-644, September.
    11. Fershtman, Chaim & Kamien, Morton I, 1987. "Dynamic Duopolistic Competition with Sticky Prices," Econometrica, Econometric Society, vol. 55(5), pages 1151-1164, September.
    12. Dixit, Avinash K, 1986. "Comparative Statics for Oligopoly," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 27(1), pages 107-122, February.
    13. L. Lambertini, 2007. "Volatility forecasting for crude oil futures," Working Papers 598, Dipartimento Scienze Economiche, Universita' di Bologna.
    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. R. Cellini & L. Lambertini, 2008. "Weak and Strong Time Consistency in a Differential Oligopoly Game with Capital Accumulation," Journal of Optimization Theory and Applications, Springer, vol. 138(1), pages 17-26, July.
    2. Baldini, Massimo & Lambertini, Luca, 2011. "Profit taxation and capital accumulation in a dynamic oligopoly model," Japan and the World Economy, Elsevier, vol. 23(1), pages 13-18, January.
    3. L. Lambertini, 2010. "On the Feedback Solution of a Differential Oligopoly Game with Hyperbolic Demand and Capacity Accumulation," Working Papers 692, Dipartimento Scienze Economiche, Universita' di Bologna.
    4. Lambertini, Luca & Palestini, Arsen, 2014. "On the feedback solutions of differential oligopoly games with hyperbolic demand curve and capacity accumulation," European Journal of Operational Research, Elsevier, vol. 236(1), pages 272-281.
    5. Lambertini, Luca & Mantovani, Andrea, 2006. "Identifying reaction functions in differential oligopoly games," Mathematical Social Sciences, Elsevier, vol. 52(3), pages 252-271, December.
    6. Calzolari, Giacomo & Lambertini, Luca, 2007. "Export restraints in a model of trade with capital accumulation," Journal of Economic Dynamics and Control, Elsevier, vol. 31(12), pages 3822-3842, December.
    7. R. Cellini & L. Lambertini, 2000. "Non-Linear Market Demand and Capital Accumulation in A Differential Oligopoly Game," Working Papers 372, Dipartimento Scienze Economiche, Universita' di Bologna.
    8. van de Klundert, T.C.M.J. & Smulders, J.A., 1991. "Reconstructing growth theory : A survey," Other publications TiSEM 19355c51-17eb-4d5d-aa66-b, Tilburg University, School of Economics and Management.
    9. Sudip Ranjan Basu, 2005. "Correlating Growth with Well-Being during Economic Reforms Evidence from India and China," Development and Comp Systems 0509010, University Library of Munich, Germany.
    10. Liu, Tung & Li, Kui-Wai, 2006. "Disparity in factor contributions between coastal and inner provinces in post-reform China," China Economic Review, Elsevier, vol. 17(4), pages 449-470.
    11. Tommy Lundgren, 2009. "Environmental Protection and Impact on Adjacent Economies: Evidence from the Swedish Mountain Region," Growth and Change, Wiley Blackwell, vol. 40(3), pages 513-532, September.
    12. Cristina Brasili & Luciano Gutierrez, 2004. "Regional convergence across European Union," Development and Comp Systems 0402002, University Library of Munich, Germany.
    13. Matthew Higgins & Daniel Levy & Andrew T. Young, 2003. "Growth and Convergence across the US: Evidence from County-Level Data," Working Papers 2003-03, Bar-Ilan University, Department of Economics.
    14. Carolina Arteaga Cabrales, 2011. "Human Capital Externalities and Growth," Revista ESPE - Ensayos Sobre Política Económica, Banco de la República, vol. 29(66), pages 12-47, December.
    15. Scott L. Baier & Gerald P. Dwyer & Robert Tamura, 2006. "How Important are Capital and Total Factor Productivity for Economic Growth?," Economic Inquiry, Western Economic Association International, vol. 44(1), pages 23-49, January.
    16. Alejandro Diaz-Bautista, 2005. "Regional Convergence of Income and Labor Productivity in Mexico," Urban/Regional 0512016, University Library of Munich, Germany.
    17. Fluvià, Modest & Rigall-I-Torrent, Ricard & Espinet, Josep Maria & Garriga, Anna & Saló, Albert, 2011. "Precios implícitos de los atributos de los productos turísticos: ¿Qué esconde el efecto de la localización?/Implicit Prices of the Attributes of Tourism Products: What is Hidden Behind Location?," Estudios de Economia Aplicada, Estudios de Economia Aplicada, vol. 29, pages 781-802, Diciembre.
    18. Gancia, Gino & Zilibotti, Fabrizio, 2005. "Horizontal Innovation in the Theory of Growth and Development," Handbook of Economic Growth, in: Philippe Aghion & Steven Durlauf (ed.), Handbook of Economic Growth, edition 1, volume 1, chapter 3, pages 111-170, Elsevier.
    19. Turnovsky, S., 2000. "Growth in an Open Economy: some Recent Developments," Papers 5, Warwick - Development Economics Research Centre.
    20. James Alm & Janet Rogers, 2011. "Do State Fiscal Policies Affect State Economic Growth?," Public Finance Review, , vol. 39(4), pages 483-526, July.

    More about this item

    NEP fields

    This paper has been announced in the following NEP Reports:

    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:bol:bodewp:672. 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: Dipartimento Scienze Economiche, Universita' di Bologna (email available below). General contact details of provider: https://edirc.repec.org/data/sebolit.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.