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Tariffs vs Quotas in a Model of Trade with Capital Accumulation

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  • Giacomo Calzolari
  • Luca Lambertini

Abstract

This paper examines the equivalence among price‐modifying and quantity‐fixing international trade policies in a differential game. We employ two well‐known capital accumulation dynamics for firms, due to Nerlove and Arrow and to Ramsey, respectively. We show that, in both cases, open‐loop and closed‐loop Nash equilibria coincide. Under the former accumulation the tariff‐quota equivalence holds, while, in general, it does not under the latter. Moreover, in the Ramsey model, the country setting the trade policy (weakly) prefers a quantity‐equivalent import quota to the adoption of the tariff. These results are not a consequence of the equilibrium concept we adopt (with and without market power), but directly follow from the interplay between market power and the properties of accumulation dynamics.

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  • 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.
    • Handle: RePEc:bla:reviec:v:14:y:2006:i:4:p:632-644
    DOI: 10.1111/j.1467-9396.2006.00656.x
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    Cited by:

    1. 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.
    2. 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.
    3. 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.
    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. Steffen Jørgensen & Georges Zaccour, 2007. "Developments in differential game theory and numerical methods: economic and management applications," Computational Management Science, Springer, vol. 4(2), pages 159-181, April.
    6. L. Lambertini, 2009. "Oligopoly with Hyperbolic Demand and Capital Accumulation," Working Papers 672, Dipartimento Scienze Economiche, Universita' di Bologna.
    7. 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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