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Differential Oligopoly Games where the Closed-Loop Memoryless and Open-Loop Equilibria Coincide

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  • R. Cellini
  • L. Lambertini

Abstract

We illustrate two differential oligopoly games using, respectively, the capital accumulation dynamics à la Nerlove-Arrow, and the capital accumulation dynamics à la Ramsey. We prove that these games benefit from the property that closed-loop memoryless solutions degenerate into open-loop solutions, since the best reply of a generic firm is independent of the rivals’ state variables, which entails that the cross e¤ect from rivals’ states to own controls disappears.

Suggested Citation

  • R. Cellini & L. Lambertini, 2001. "Differential Oligopoly Games where the Closed-Loop Memoryless and Open-Loop Equilibria Coincide," Working Papers 402, Dipartimento Scienze Economiche, Universita' di Bologna.
  • Handle: RePEc:bol:bodewp:402
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    References listed on IDEAS

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    1. Fershtman, Chaim & Kamien, Morton I, 1987. "Dynamic Duopolistic Competition with Sticky Prices," Econometrica, Econometric Society, vol. 55(5), pages 1151-1164, September.
    2. 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.
    3. 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.
    4. Dockner, Engelbert J. & Haug, Alfred A., 1990. "Tariffs and quotas under dynamic duopolistic competition," Journal of International Economics, Elsevier, vol. 29(1-2), pages 147-159, August.
    5. 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.
    6. M. Baldini & L. Lambertini, 2002. "Profit Taxation and Capital Accumulation in Dynamic Oligopoly Models," Working Papers 435, Dipartimento Scienze Economiche, Universita' di Bologna.
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    Cited by:

    1. Guido Candela & Roberto Cellini, 2006. "Investment in Tourism Market: A Dynamic Model of Differentiated Oligopoly," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 35(1), pages 41-58, September.
    2. L. Lambertini, 2002. "Stackelberg Leadership in a Dynamic Duopoly with Capital Accumulation," Working Papers 442, Dipartimento Scienze Economiche, Universita' di Bologna.
    3. Lambertini, Luca & Mantovani, Andrea, 2006. "Identifying reaction functions in differential oligopoly games," Mathematical Social Sciences, Elsevier, vol. 52(3), pages 252-271, December.
    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. R. Cellini & L. Lambertini, 2003. "Capital Accumulation and Horizontal Mergers in Differential Oligopoly Games," Working Papers 477, Dipartimento Scienze Economiche, Universita' di Bologna.
    6. M. Baldini & L. Lambertini, 2002. "Profit Taxation and Capital Accumulation in Dynamic Oligopoly Models," Working Papers 435, Dipartimento Scienze Economiche, Universita' di Bologna.
    7. R. Cellini & L. Lambertini, 2003. "Capacity Accumulation and Utilization in a Differential Duopoly Game," Working Papers 465, Dipartimento Scienze Economiche, Universita' di Bologna.
    8. R. Cellini & L. Lambertini, 2002. "Price vs Quantity in a Dynamic Duopoly Game with Capacity Accumulation," Working Papers 449, Dipartimento Scienze Economiche, Universita' di Bologna.

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