×

Nash and social welfare impact in an international trade model. (English) Zbl 1391.91122

Summary: We study a classic international trade model consisting of a strategic game in the tariffs of the governments. The model is a two-stage game where, at the first stage, governments of each country use their welfare functions to choose their tariffs either (i) competitively (Nash equilibrium) or (ii) cooperatively (social optimum). In the second stage, firms choose competitively (Nash) their home and export quantities. We compare the competitive (Nash) tariffs with the cooperative (social) tariffs and we classify the game type according to the coincidence or not of these equilibria as a social equilibrium, a prisoner’s dilemma or a lose-win dilemma.

MSC:

91B60 Trade models
91B54 Special types of economic markets (including Cournot, Bertrand)
91A20 Multistage and repeated games
Full Text: DOI

References:

[1] K. Bagwell, A theory of managed trade,, American Economic Review, 80, 779 (1990)
[2] K. Bagwell, Enforcement, private political pressure, and the GAT/WTO escape clause,, Journal of Legal Studies, 34, 471 (2005)
[3] N. Banik, <em>An Economical Model for Dumping by Dumping in a Cournot Model</em>,, chapter in, 141 (2008) · Zbl 1247.91110 · doi:10.1007/978-3-642-14788-3_11
[4] J. A. Brander, Intra-industry trade in identical commodities,, Journal of International Economics, 11, 1 (1981)
[5] J. A. Brander, Export subsidies and international market share rivalry,, Journal of International Economics, 18, 83 (1985)
[6] J. I. Bulow, Multi-market oligopoly: Strategic substitutes and complements,, Journal of Political Economy, 93, 488 (1985)
[7] M. Choubdar, Nash and Social Welfare Impact in International Trade, Recent Advances in Applied Economics,, Proceedings of the 6th International Conference on Applied Economics, 23 (2014)
[8] M. Choubdar, Uncertainty costs on an international duopoly with tariffs,, Proceedings of the 6th International Conference on Applied Economics, 13 (2014)
[9] A. Dixit, International trade policy for oligopolistic industries,, Economic Journal, 94, 1 (1984)
[10] A. Dixit, Strategic aspects of trade policy,, in Bewley, 329 · Zbl 0729.90697
[11] A. Dixit, Targed export promotion with several oligopolistic industries,, Journal of International Economics, 21, 233 (1986)
[12] G. Eaton, Optimal trade and industrial policy under oligopoly,, Quarterly Journal of Economics, 101, 383 (1984) · Zbl 0589.90011 · doi:10.2307/1891121
[13] F. A. Ferreira, <em>Applications of Mathematics to Industrial Organization</em>,, Ph.D. Thesis (2007)
[14] F. A. Ferreira, Quantity competition in a differentiated duopoly,, Chapter in J. A. Tenreiro Machado, 365 (2008)
[15] F. A. Ferreira, Flexibility in Stackelberg leadership,, Chapter in J. A. Tenreiro Machado, 399 (2008)
[16] F. A. Ferreira, Bayesian price leadership,, Chapter in Tas, 371 (2007) · Zbl 1198.91113
[17] F. A. Ferreira, Unknown costs in a duopoly with differentiated products,, Chapter in Tas, 359 (2007) · Zbl 1198.91112
[18] F. A. Ferreira, Uncertainty on an asymmetric duopoly,, Progress in Industrial Mathematics at ECMI 2006, 10 (2006)
[19] E. O’N. Fisher, Price competition between two international firms facing tariffs,, International Journal of Industrial Organization, 13, 67 (1995)
[20] R. Gibbons, <em>A Primer in Game Theory</em>,, Pearson Prentice Hall (1992) · Zbl 0759.90106
[21] G. M. Grossman, Strategic export promotion: A critique,, Chapter 3 in: Strategic Trade Policy and the New International Economics, 47 (1986)
[22] G. V. Haberler, <em>The Theory of International Trade with its Application to Commercial Policy</em>,, Macmillan (1937)
[23] E. Helpman, <em>Increasing Returns, Imperfect Markets, and Trade Theory</em>,, Jones, 1 (1984)
[24] J.-M. M. Kilolo, <em>Country Size, Trade Liberalization and Transfers</em>,, MPRA Paper (2013)
[25] K. Krishna, Trade restrictions as facilitating practices,, Journal of International Economics, 26, 251 (1989)
[26] P.-C. Liao, Rivalry between exporting countries and an importing country under incomplete information,, Academia Economic Papers, 32, 605 (1990)
[27] N. Lim{ ’a}o, Tariff retaliation versus financial compensation in the enforcement of international trade agreements,, Journal of International Economics, 76, 48 (2008)
[28] N. Limáo, Size inequality, coordination externalities and international trade agreements,, European Economic Review, 63, 10 (2013)
[29] J. Martins, <em>A Repeated Strategy for Dumping</em>,, to appear in Discrete Dynamical Systems and Applications (2012) · Zbl 1354.91093 · doi:10.1007/978-3-662-52927-0_11
[30] J. Martins, Deviation from collusion with and without dumping,, to appear in Modeling
[31] J. McMillan, <em>Game Theory in International Economics</em>,, Harwood Academic Publishers (1986) · Zbl 0705.90009 · doi:10.1080/00036846900000024
[32] A. A. Pinto, Stochasticity favoring the effects of the R&D strategies of the firms,, Chapter in J. A. Tenreiro Machado et al. (Eds.): Intelligent Engineering Systems and Computational Cybernetics, 415 (2009)
[33] A. A. Pinto, Investing to survive in a duopoly model,, Chapter in J. A. Tenreiro Machado et al. (Eds.): Intelligent Engineering Systems and Computational Cybernetics, 407 (2009)
[34] B. J. Spencer, International R&D rivalry and industrial strategy,, Review of Economic Studies, 50, 707 (1983) · doi:10.3386/w1192
[35] R. Staiger, International rules and institutions for trade policy,, in: Grossman, 1495
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.