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Dynamic Oligopoly with Sticky Prices: Closed-Loop,Feedback and Open-Loop Solutions

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  • R. Cellini
  • L. Lambertini

Abstract

We investigate a dynamic oligopoly game with price adjustments. We show that the subgame perfect equilibria are characterised by larger output and lower price levels then the open-loop solution. The individual (and industry) output at the closed-loop equilibrium is larger than its counterpart at the feedback equilibrium. Therefore, firms prefer the open-loop equilibrium to the feedback equilibrium, and the latter to the closed-loop equilibrium. The opposite applies to consumers.

Suggested Citation

  • R. Cellini & L. Lambertini, 2000. "Dynamic Oligopoly with Sticky Prices: Closed-Loop,Feedback and Open-Loop Solutions," Working Papers 393, Dipartimento Scienze Economiche, Universita' di Bologna.
    • Handle: RePEc:bol:bodewp:393
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    References listed on IDEAS

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    1. Tsutsui, Shunichi & Mino, Kazuo, 1990. "Nonlinear strategies in dynamic duopolistic competition with sticky prices," Journal of Economic Theory, Elsevier, vol. 52(1), pages 136-161, October.
    2. Piga, Claudio A. G., 2000. "Competition in a duopoly with sticky price and advertising," International Journal of Industrial Organization, Elsevier, vol. 18(4), pages 595-614, May.
    3. 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.
    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. Fershtman, Chaim & Kamien, Morton I, 1987. "Dynamic Duopolistic Competition with Sticky Prices," Econometrica, Econometric Society, vol. 55(5), pages 1151-1164, September.
    6. Engelbert J. Dockner & Alfred A. Haug, 1991. "The Closed-Loop Motive for Voluntary Export Restraints," Canadian Journal of Economics, Canadian Economics Association, vol. 24(3), pages 679-685, August.
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    Cited by:

    1. Lambertini, Luca & Mantovani, Andrea, 2014. "Feedback equilibria in a dynamic renewable resource oligopoly: Pre-emption, voracity and exhaustion," Journal of Economic Dynamics and Control, Elsevier, vol. 47(C), pages 115-122.
    2. R. Cellini & L. Lambertini & G. Leitmann, 2004. "Perfect Uncontrollable Differential Games," Working Papers 509, Dipartimento Scienze Economiche, Universita' di Bologna.
    3. Han, Yutao & Pieretti, Patrice & Zanaj, Skerdilajda & Zou, Benteng, 2014. "Asymmetric competition among nation states: A differential game approach," Journal of Public Economics, Elsevier, vol. 119(C), pages 71-79.
    4. L. Lambertini, 2013. "Coordinating Static and Dynamic Supply Chains with Advertising through Two-Part Tariffs," Working Papers wp874, Dipartimento Scienze Economiche, Universita' di Bologna.
    5. H. Esfahani & L. Lambertini, 2011. "The Profitability of Small Horizontal Mergers with Nonlinear Demand Functions," Working Papers wp728, Dipartimento Scienze Economiche, Universita' di Bologna.
    6. Roberto Cellini & Luca Lambertini, 2006. "Workers’ enterprises are not perverse: differential oligopoly games with sticky price," Review of Economic Design, Springer;Society for Economic Design, vol. 10(3), pages 233-248, December.
    7. G. Bertuzzi & L. Lambertini, 2001. "Advertising in a Differential Game of Spatial Competition," Working Papers 400, Dipartimento Scienze Economiche, Universita' di Bologna.
    8. Lambertini, Luca & Mantovani, Andrea, 2006. "Identifying reaction functions in differential oligopoly games," Mathematical Social Sciences, Elsevier, vol. 52(3), pages 252-271, December.
    9. Cellini, Roberto & Lambertini, Luca, 2007. "A differential oligopoly game with differentiated goods and sticky prices," European Journal of Operational Research, Elsevier, vol. 176(2), pages 1131-1144, January.
    10. 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.
    11. Lambertini, Luca & Mantovani, Andrea, 2014. "Feedback equilibria in a dynamic renewable resource oligopoly: Pre-emption, voracity and exhaustion," Journal of Economic Dynamics and Control, Elsevier, vol. 47(C), pages 115-122.
    12. L. Lambertini & A. Mantovani, 2004. "Identifying Reaction Functions in a Differential Oligopoly Game with Sticky Prices," Working Papers 530, Dipartimento Scienze Economiche, Universita' di Bologna.
    13. L. Lambertini, 2007. "Volatility forecasting for crude oil futures," Working Papers 598, Dipartimento Scienze Economiche, Universita' di Bologna.

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