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Export restraints in a model of trade with capital accumulation

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  • Calzolari, Giacomo
  • Lambertini, Luca

Abstract

This paper examines the impact of voluntary export restraints (VERs) in an international duopoly modelled as a differential game. We employ two well known capital accumulation dynamics for firms, due to Herlove and Arrow and to Ramsey, respectively. First we investigate Cournot behavour, showing that, in both models, a VERs cannot ne voluntarily employed by the foreign firms. Our analysis therefore suggests that the empirical observation of VERs corresponds to their use either as coordinating or as quasi-collusive devices in markets where firms are price setters and sales are not capacity-constrained. This is confirmed by our analysis of price competition. The Bertrand steady state of the Solow-Nerlove-Arrow model coincides with the Cournot equilibrium, and therefore the foreign firm cannot be expected to voluntarily adopt an export restraint. However, the opposite holds in the case of price behavior in the ramsey setting, where the adoption of anexport restraint may increase the profits of both firms.
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  • 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.
  • Handle: RePEc:eee:dyncon:v:31:y:2007:i:12:p:3822-3842
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    Cited by:

    1. 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.
    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. Luca Lambertini & Arsen Palestini, 2018. "Voluntary Export Restraints in a Trade Model with Sticky Price: Linear and Nonlinear Feedback Solutions," Dynamic Games and Applications, Springer, vol. 8(3), pages 507-518, September.
    4. Baldini, Massimo & Lambertini, Luca, 2011. "Profit taxation and capital accumulation in a dynamic oligopoly model," Japan and the World Economy, Elsevier, vol. 23(1), pages 13-18, January.
    5. Di Corato, Luca & Maoz, Yishay D., 2019. "Production externalities and investment caps: A welfare analysis under uncertainty," Journal of Economic Dynamics and Control, Elsevier, vol. 106(C), pages 1-1.
    6. Hayakawa, Kazunobu & Ito, Keiko & Fukao, Kyoji & Deseatnicov, Ivan, 2023. "The impact of the strengthening of export controls on Japanese exports of dual-use goods," International Economics, Elsevier, vol. 174(C), pages 160-179.
    7. Colombo, Luca & Lambertini, Luca & Mantovani, Andrea, 2009. "Endogenous transportation technology in a Cournot differential game with intraindustry trade," Japan and the World Economy, Elsevier, vol. 21(2), pages 133-139, March.
    8. Hayakawa, Kazunobu & Ito, Keiko & Fukao, Kyoji & Ivan, Deseatnicov, 2022. "The impact of the U.S.-China conflict and the strengthening of export controls on Japanese exports," IDE Discussion Papers 852, Institute of Developing Economies, Japan External Trade Organization(JETRO).
    9. L. Lambertini, 2009. "Oligopoly with Hyperbolic Demand and Capital Accumulation," Working Papers 672, Dipartimento Scienze Economiche, Universita' di Bologna.
    10. 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.

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