Stable Tariffs and Retaliations*

A two‐country, two‐commodity model of trade is considered to reformulate the tariff retaliations. It is known that tariff retaliations lead to a Nash‐equilibrium, a non‐free‐trade outcome. However, the negotiation process underlying the Nash equilibrium does not capture the notion of retaliation properly. We use the “contingent threat situation” to reformulate tariff retaliations. In this context, we show that the free trade is a stable outcome. More surprisingly, this interesting result is also valid for the “Johnson case,” where one country is better off under the tariff‐ridden Nash equilibrium compared to free trade.     

内部货币与我国最优关税政策研究

本文将内部货币引入一个包含两国两商品的纯交换经济,在考虑贸易关税的情形下,将此拓展成一个Nash关税博弈模型。我们用2005年中国与世界其他国家(ROW)的产出和双边贸易数据对该贸易模型进行数值分析,考察一般经济均衡条件下内部货币的引入对我国与ROW最优关税政策的影响。研究表明:(1)内部货币对贸易双方关税博弈的Nash均衡有显著影响,即相对于无内部货币的情形,内部货币的存在将削弱我国在关税博弈中的关税报复力量。(2)中国在2005年的实际关税接近于不考虑ROW关税报复时的最优关税水平及Nash均衡关税,而ROW当时的实际关税却远低于其最优关税和Nash均衡关税水平,这说明我国在2005年所采取的关税政策合乎本国利益。     

Developing-Country Benefits from MFN Relative to Regional/Bilateral Trade Arrangements

Using a general‐equilibrium model of world trade, this paper evaluates the benefits of most‐favored‐nation (MFN) treatment to developing countries in multilateral relative to bilateral or regional trade agreements, from three sources. First, developing countries may be able to free‐ride on bilateral tariff concessions exchanged between larger countries in MFN‐based GATT/WTO rounds. Second, MFN benefits developing countries by restricting discriminatory retaliatory actions by other countries, evaluated here by a non‐ cooperative Nash tariff game. Finally, MFN changes threat points in bargaining and hence affects the bargaining solution of multilateral MFN‐based trade negotiation compared to a bilateral/regional arrangement. The authors find that the benefits to developing countries are small in the first case as the tariff rates are already low, and the benefits are small in the second case as the optimal tariffs under unconstrained retaliation are not very asymmetric. Benefits from the third case are large as large countries can extract large side‐payments if they bargain bilaterally.     

Optimum Tariffs and Retaliation Revisited: How Country Size Matters

In his seminal work on tariff retaliation, Johnson ( Review of Economic Studies , 21 , 1953–1954) showed that a country will "win" a bilateral "tariff war" if its relative monopoly/monopsony power in world trade is sufficiently large. However, it is unclear from Johnson's analysis and from subsequent research on the subject how this power is determined in general economic environments. An important goal of this paper is to address this issue. With the help of a neoclassical trade model in which country size is at centre stage, it is shown that a sufficient condition for a country to prefer a non-cooperative Nash tariff equilibrium (retaliation) over free trade is that its relative size be sufficiently large. The paper also refines the structure of the general trade model and generates additional characterization results on the importance of country size for best-response tariff functions, retaliatory tariffs, and welfare.     

A Two‐Country Game of Competition Policies

Recently a number of studies have recognized that trade policy can be substituted for by competition policy. This study demonstrates, however, that there is a fundamental difference in the working of terms‐of‐trade effects between competition policy and tariff policy and that if countries optimally set their respective competition policies, it is unlikely to result in a tariff‐war‐like state in which all countries adopt distortionary policies. Instead, in a Nash equilibrium, one country maintains perfect competition in its domestic service sector while the other country tolerates imperfect competition.     

Equilibrium Tariff Schedules In Commercial Policy Games Under Uncertainty

Abstract A partial two country equilibrium model is built in which two different exogenous random shocks may occur. the governments simultaneously choose tariff functions relating their specific tariff to the level of an observable variable (volume of trade or international price). In the case of a “volume of trade shock” the Nash equilibria of this game are more protectionist the larger the possible trade swings and autarky is always an equilibrium outcome. In the case of a “terms of trade shock”, constant tariffs, at their Nash equilibrium in specific tariff levels are the only sensible equilibrium outcome.     

Gains and losses from potential bilateral US–China trade retaliation

Two closely related numerical general equilibrium models of world trade are used to analyze the potential consequences of US–China bilateral retaliation on trade flows and welfare. One is a conventional Armington trade model with five regions, the US, China, EU, Japan and the Rest of the World, and calibrated to a global 2009 micro consistent data set. The other is a modified version of this model with monetary non-neutrals and including China's trade surplus as an endogenous variable.Who may gain or loss from global trade conflicts spawned by adjustment pressures in the post crisis world is much debated. In a US–China trade conflict, Europe and Japan would seem gainers from preferential access to US and Chinese markets. The loss of markets would hurt the US, but moving closer to an optimal tariff could be the source of terms of trade gains. And the ease of substitution across trading partners' practices would determine costs for China.Results from the conventional model suggest that retaliation between the two countries can be welfare improving for the US as it substitutes expenditures into own goods and improve its terms of trade with non-retaliatory regions, while China and non-retaliatory regions may be adversely affected. Results in the endogenous trade surplus model from the central case model specification, however, suggest that both the US and the EU (the deficit regions) have welfare losses in most cases, while the surplus region, China, and the ROW have welfare gains. In both models, when the bilateral tariff rates are very high, gains accrue to the EU and Japan from trade diversion if the substitutions elasticities of imports are high. Costs are borne by the US and China in lost exports, lowered terms of trade and adjustment costs at home.     

Tariff Revenue Competition in a Free Trade Area: The Case of Asymmetric Large Countries

The striking result has been shown by Richardson that tariff revenue competition between two symmetric member countries of a free trade area (FTA) results in complete elimination of external tariffs if there exists a pure‐strategy Nash equilibrium at all. Richardson also conjectures without building a model that if member countries are asymmetric in market size, there exists a pure‐strategy Nash equilibrium in which both countries set positive external tariffs. We explicitly extend his tariff competition model into the case of asymmetric FTA member countries, and confirm his conjecture. We also show that there exists a mixed‐strategy Nash equilibrium in the case of symmetric countries.     

Comparative advantage and strategic specialization

This paper shows that a strong comparative advantage is necessary for free trade and specialization in a 2 × 2 symmetric Ricardian model to be achieved in a Nash equilibrium. Governments strategically control labor distribution across industries, and representative agents maximize Cobb–Douglas utilities. A Nash equilibrium with complete specialization is achieved if and only if relative productivity exceeds a key value of 3, which is considered a very large number based on previous empirical studies. This paper also introduces a two‐stage game where each government chooses labor distribution first and then tariffs. In this two‐stage game, complete specialization is never achieved for any relative productivity level. Finally, by generalizing the Cobb–Douglas model into constant elasticity of substitution (CES) preferences, I show that if immiserizing growth effects exist, complete specialization could not be achieved for any level of relative productivity.     

A Classroom Tariff-Setting Game

The author outlines a classroom tariff-setting game that allows students to explore the consequences of import tariffs imposed by large countries (countries able to influence world prices). Groups of students represent countries, which are organized into trading pairs. Each group's objective is to maximize welfare by choosing an appropriate ad valorem tariff that may be changed intermittently throughout the game. The game is built on a computable general-equilibrium model, which allows each nation's utility and terms of trade under alternative tariff regimes to be expressed quantitatively. The exercise encourages students to consider terms-of-trade improvements and efficiency losses resulting from large-country tariffs and provides a framework to discuss the Nash equilibrium of a tariff war. The game is a useful supplement to traditional teaching methods.     

Trade Liberalization and Antidumping: Is There a Substitution Effect?

Many nations have undergone significant trade liberalization even as they have increased their use of contingent protection measures. This raises the question of whether some of the trade liberalization efforts, at times accomplished through painful reforms, have been undone through a substitution from tariffs to non‐tariff barriers. Among the new forms of protection, antidumping is the most relevant. This paper examines whether the use of antidumping is systematically influenced by the reduction of applied sectoral tariffs in a sample of 29 developing and six developed countries from 1991 through 2002. Evidence is found of a substitution effect only for a small set of heavy users of antidumping among developing countries. There is no similar statistically significant result for other developing countries or developed countries. Robust evidence is also found of retaliation and deflection effects as determinant of antidumping filings across all subsamples.     

Savings, Volume of Trade, and Growth

This paper develops a two-country dynamic general equilibrium model with endogenous growth to analyze the effects of international trade on steady-stage growth. The two countries differ both in preferences and in technologies. It is shown first that both countries cannot simultaneously experience increases in consumption growth from trade. It is then shown that trade can increase output growth for both countries if the attitude towards saving matches the change in the terms of trade in each country. A country facing a decline (rise) in its output price grows faster if its intertemporal elasticity of substitution is sufficiently low (high).     

Measuring the Impacts of Global Trade Reform with Optimal Aggregators of Distortions

Aggregation of trade distortion measures is essential in applied work, but traditional trade‐weighted average measures are egregiously flawed. This paper shows how appropriate tariff aggregation can overcome underestimation of both efficiency and terms‐of‐trade gains from reform. The improvement is shown to result from better measurement of a distortion effect that is most important in the early stages of reform and a weighting effect that becomes more important as protection is reduced. Applications confirm that the technique can be applied relatively easily, and—with elasticity estimates suggested by the available econometric evidence—point to close to a doubling of the global welfare gains from global trade reform, and dramatic changes in the measured welfare impacts in many individual cases. Sensitivity analysis suggests that, for global trade reform, the ease of substitution between tariff lines is much more important than that between varieties from different countries. We provide an online aggregation tool to allow replication of our analysis or investigation of alternative scenarios for global reform. We hope that this paper will contribute both to wider use of optimal aggregators and improved estimates of the key elasticity parameters.     

Optimal trade policy in tariff games with inside money

We construct a bilateral trade model incorporating two physical goods and a financial asset (inside money) to discuss the optimal trade policy that countries would choose to maximize their respective utilities. In this Nash tariff game, the trade of physical commodities only occurs geographically across countries, and the trade of inside money allows for intertemporal allocation of consumptions. When the preferences, present and future endowments for each country are given, according to our numerical analysis, trade surplus or deficit (inside money) and optimal tariff rates are endogenously determined when general equilibrium conditions hold. One country may purchase inside money to shift current consumption to the future, and the other may be willing to issue inside money for smoothing its consumptions in two periods. This imbalance trade contradicts traditional trade models which imply a balanced trade policy. We further find that the price of inside money as an implied interest rate also is determined by the trade intervention policies.     

Do Preferential Rules of Origin Reverse Trade Creation and Trade Diversion?

Restrictive preferential rules of origin (PROOs) moderate the ‘trade diversion and trade creation’ effects of free trade agreements (FTAs). Moderation effects occur because restrictive PROOs reverse the increase in the relative price of non-member country goods initially caused by FTAs. Such a reversal arises because high compliance costs associated with restrictive PROOs lead to a lower utilization of tariff preferences by member countries. With a lower utilization, the increase in the relative price of non-members country goods would be smaller than it could have been with a full utilization. Thus, restrictive PROOs will lead to less than full trade diversion from non-members to member countries, and less than complete trade creation to member countries. This paper infers the effect of restrictive PROOs on intra-regional trade from the estimated parameters of the revenue function, on the presumption that trade diversion refers to a decrease in the elasticity of substitution between import sources, and that trade creation refers to a difference between the change in import price elasticity and the trade diversion effect. Empirical results support the conjecture that restrictive PROOs move in the opposite direction of FTAs partly undoing the trade diversion and trade creation effects of FTAs.     

Intertemporal Substitution and Terms-of-Trade Shocks

The paper examines the relationship between transitory terms‐of‐trade shocks and private saving. Using a model allowing for nonseparability between the consumption of tradables and nontradables, the paper estimates the intertemporal elasticity of substitution while accounting for the intratemporal elasticity of substitution between the consumption of tradables and nontradables. Empirical analysis of data for five industrial countries indicates that in response to transitory terms‐of‐trade shocks, intertemporal substitution of consumption and intratemporal substitution of consumption between tradables and nontradables both have large effects on private saving.     

Time-consistent protection with learning by doing

Can a government induce efficiency gains in his domestic industry by protecting it against foreign competition? Would such trade protection be time consistent? The present paper builds a dynamic equilibrium model that accounts for learning-by-doing effects that link firms’ strategies over time. The model shows that the existence of dynamic economies of scale suffices to overcome the traditional government's lack of commitment of its tariff policy. This paper compares the infinite horizon Markov perfect equilibrium of this game with the dynamic equilibrium under commitment as well as the static Nash equilibrium. Equilibrium strategies are derived in closed form by solving a linear-quadratic differential game. Optimal trade policy involves higher tariff levels than in the static setup in order to account for future gains in efficiency. Under reasonable assumptions, the unique stable MPE is characterized by a domestic price and tariff that decrease as experience accumulates, thus supporting the future liberalization of trade as an equilibrium feature of this dynamic game.     

An Inframarginal Analysis of the Ricardian Model

This paper shows that a 2 × 2 Ricardian model has a unique general equilibrium, and the comparative statics of the equilibrium involve discontinuous jumps. If partial division of labor occurs in equilibrium, the country producing both goods would impose a tariff, whereas the country producing a single good would prefer unilateral free trade. If complete division of labor occurs in equilibrium, both countries would negotiate to achieve free trade. In a model with three countries, the country which does not have a comparative advantage relative to the other two countries, and/or which has low transaction efficiency, may be excluded from trade.     

Openness to trade as a determinant of the macroeconomic elasticity of substitution

Several theoretical and empirical studies on economic growth consider the macroeconomic elasticity of substitution between capital and labor as a measure of economic flexibility that depends on technological as well as institutional aspects. One institutional aspect of economic flexibility is openness to trade. I examine in a Heckscher–Ohlin model with two large countries trading intermediate goods how openness affects the elasticity of substitution. If the technology has a constant elasticity of substitution in a closed economy, opening up to trade raises the elasticity of substitution only in the country that accumulates capital at a faster rate.     

Industrial subsidy policy and the optimal level of specialization

Despite compelling rationale based on the theory of comparative advantage for free trade, many countries adopt restrictive trade practices. In this paper we investigate this puzzle in a stylized two-country two-good Ricardian model of international trade. Governments can offer protection to domestic industries via industrial subsidy policy in this model. We prove the existence of a Nash equilibrium in the two-player game where industries choose the level of specialization. We determine the necessary conditions for complete specialization in (a) the free-trade regime; and (b) the protectionist regime implemented through industrial subsidy policy. Our results show that if the government intends to promote complete specialization, then a high degree of comparative advantage and a large elasticity of substitution between export and import goods are required. Empirical evidence on these two parameters indicate that complete specialization is unlikely to survive in the protectionist regime.