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

Author

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

Abstract

We propose a simple method for characterising analytically the feedback solution of oligopoly games with capital accumulation 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

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    1. Dockner, Engelbert J, 1992. "A Dynamic Theory of Conjectural Variations," Journal of Industrial Economics, Wiley Blackwell, vol. 40(4), pages 377-395, December.
    2. 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.
    3. 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.
    4. 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.
    5. 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.
    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. 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.
    8. 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.
    9. 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.
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    Cited by:

    1. Gustav Feichtinger & Richard F. Hartl & Peter M. Kort & Andrea Seidl & Stefan Wrzaczek, 2022. "Asymmetric Information in a Capital Accumulation Differential Game with Spillover and Learning Effects," Journal of Optimization Theory and Applications, Springer, vol. 194(3), pages 878-895, September.

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    More about this item

    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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