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On the feedback solution of a differential oligopoly game with capacity adjustment


  • D. Dragone
  • L. Lambertini
  • A. Palestini


We propose a simple method for characterising analytically the feedback solution of oligopoly games with capital accumulation à la Solow-Swan. As a result, it becomes possible to contrast the feedback equilibrium against the corresponding one generated by open-loop information. Our method accomodates extensions of the stripped down oligopoly model in several directions. As an example, we expand the setup to include environmental effects and Pigouvian taxation.

Suggested Citation

  • D. Dragone & L. Lambertini & A. Palestini, 2011. "On the feedback solution of a differential oligopoly game with capacity adjustment," Working Papers wp741, Dipartimento Scienze Economiche, Universita' di Bologna.
  • Handle: RePEc:bol:bodewp:wp741

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    References listed on IDEAS

    1. Bulow, Jeremy I & Geanakoplos, John D & Klemperer, Paul D, 1985. "Multimarket Oligopoly: Strategic Substitutes and Complements," Journal of Political Economy, University of Chicago Press, vol. 93(3), pages 488-511, June.
    2. Downing, Paul B. & White, Lawrence J., 1986. "Innovation in pollution control," Journal of Environmental Economics and Management, Elsevier, vol. 13(1), pages 18-29, March.
    3. 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.
    4. 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.
    5. Driskill, Robert A. & McCafferty, Stephen, 1989. "Dynamic duopoly with adjustment costs: A differential game approach," Journal of Economic Theory, Elsevier, vol. 49(2), pages 324-338, December.
    6. Benchekroun, Hassan & van Long, Ngo, 1998. "Efficiency inducing taxation for polluting oligopolists," Journal of Public Economics, Elsevier, vol. 70(2), pages 325-342, November.
    7. R. Cellini & L. Lambertini, 2005. "Weak and Strong Time Consistency in Differential Oligopoly Games with Capital Accumulation," Working Papers 544, Dipartimento Scienze Economiche, Universita' di Bologna.
    8. Dockner, Engelbert J, 1992. "A Dynamic Theory of Conjectural Variations," Journal of Industrial Economics, Wiley Blackwell, vol. 40(4), pages 377-395, December.
    9. 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.
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    JEL classification:

    • C73 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Stochastic and Dynamic Games; Evolutionary Games
    • L13 - Industrial Organization - - Market Structure, Firm Strategy, and Market Performance - - - Oligopoly and Other Imperfect Markets
    • Q55 - Agricultural and Natural Resource Economics; Environmental and Ecological Economics - - Environmental Economics - - - Environmental Economics: Technological Innovation

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