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Voluntary Export Restraints in a Trade Model with Sticky Price: Linear and Nonlinear Feedback Solutions

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  • L. Lambertini
  • A. Palestini

Abstract

We revisit the adoption of voluntary export restraints (VERS) in the differential Cournot game with sticky price and intraindustry trade by Dockner and Haug (1991). The analysis relies on linear and nonlinear feedback strategies, to encompass the special cases considered in Fujiwara (2010) and to show that a VER may arise in correspondence of any free trade equilibrium generated by feedback information such that competition is at least as strong as under open-loop rules. This result can be interpreted in the light of the dynamic formulation of conjectural variations due to Dockner (1992).

Suggested Citation

  • L. Lambertini & A. Palestini, 2017. "Voluntary Export Restraints in a Trade Model with Sticky Price: Linear and Nonlinear Feedback Solutions," Working Papers wp1109, Dipartimento Scienze Economiche, Universita' di Bologna.
  • Handle: RePEc:bol:bodewp:wp1109
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    References listed on IDEAS

    as
    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. 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.
    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. repec:spr:dymeef:978-3-319-39120-5 is not listed on IDEAS
    5. Rowat, Colin, 2007. "Non-linear strategies in a linear quadratic differential game," Journal of Economic Dynamics and Control, Elsevier, vol. 31(10), pages 3179-3202, October.
    6. Richard Harris, 1985. "Why Voluntary Export Restraints Are 'Voluntary.'," Canadian Journal of Economics, Canadian Economics Association, vol. 18(4), pages 799-809, November.
    7. Krishna, Kala, 1989. "Trade restrictions as facilitating practices," Journal of International Economics, Elsevier, vol. 26(3-4), pages 251-270, May.
    8. Syropoulos, Constantinos, 1996. "On Pareto-improving voluntary export restraints," International Journal of Industrial Organization, Elsevier, vol. 14(1), pages 71-84.
    9. Bresnahan, Timothy F, 1981. "Duopoly Models with Consistent Conjectures," American Economic Review, American Economic Association, vol. 71(5), pages 934-945, December.
    10. Akihiko Yanase, 2007. "Dynamic Games of Environmental Policy in a Global Economy: Taxes versus Quotas," Review of International Economics, Wiley Blackwell, vol. 15(3), pages 592-611, August.
    11. Dockner, Engelbert J, 1992. "A Dynamic Theory of Conjectural Variations," Journal of Industrial Economics, Wiley Blackwell, vol. 40(4), pages 377-395, December.
    12. Chao-Cheng Mai & Hong Hwang, 1988. "Why Voluntary Export Restraints Are Voluntary: An Extension," Canadian Journal of Economics, Canadian Economics Association, vol. 21(4), pages 877-882, November.
    13. Kenji Fujiwara, 2010. "When Are Voluntary Export Restraints Voluntary? A Differential Game Approach," Australian Economic Papers, Wiley Blackwell, vol. 49(2), pages 101-110, June.
    14. Dockner Engelbert J. & Van Long Ngo, 1993. "International Pollution Control: Cooperative versus Noncooperative Strategies," Journal of Environmental Economics and Management, Elsevier, vol. 25(1), pages 13-29, July.
    15. Neil Bjorksten, 1994. "Voluntary Import Expansions and Voluntary Export Restraints in an Oligopoly Model with Capacity Constraints," Canadian Journal of Economics, Canadian Economics Association, vol. 27(2), pages 446-457, May.
    16. 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.
    17. Lambertini, Luca & Mantovani, Andrea, 2016. "On the (in)stability of nonlinear feedback solutions in a dynamic duopoly with renewable resource exploitation," Economics Letters, Elsevier, vol. 143(C), pages 9-12.
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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
    • D43 - Microeconomics - - Market Structure, Pricing, and Design - - - Oligopoly and Other Forms of Market Imperfection
    • F12 - International Economics - - Trade - - - Models of Trade with Imperfect Competition and Scale Economies; Fragmentation
    • L13 - Industrial Organization - - Market Structure, Firm Strategy, and Market Performance - - - Oligopoly and Other Imperfect Markets

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