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.     

Dynamic Interactions in Trade Policy in a Differential Game Model of Tariff Protection

This paper develops a two‐country dynamic game model of tariff protection to reconsider optimal trade policies and their implications for welfare. The authors show that an import subsidy is optimal in the feedback Nash equilibria, which results in a curious possibility that the domestic market is monopolized by the foreign firrm. However, welfare comparisons among Nash equilibria, free trade, and autarky reveal that feedback Nash equilibria involve higher welfare than both autarky and free trade, i.e. dynamic noncooperative choices of policy serve as tacit policy coordination and ensure larger trade gains relative to free trade.     

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.     

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.     

Effects of Multilateral Trade Liberalization on Prices*

To analyze the effects of simultaneous tariff reductions by multiple importing countries on prices, we construct a simple three‐country model where a good is produced by a monopolist with nonconstant marginal cost and imported by two countries. We compare two representative tariff‐reduction formulas: the “fixed‐amount” and the “uniform percentage” reductions. The uniform percentage reductions may increase the consumer price in the importing country, whose initial tariff is lower. Thus, importing countries with relatively low tariffs may prefer a bilateral trade agreement to a multilateral one to ensure consumer gains.     

Uniqueness and comparative statics of Nash equilibrium in a tariff retaliation model

This paper considers uniqueness and comparative statics of Nash equilibrium of a tariff retaliation model. The approach to the problem is geometrical and reminiscent of the analysis for the free trade competitive equilibrium. If the countries have constant elasticity of substitution utility functions, some simple conditions can be used to prove uniqueness of the Nash equilibrium of the tariff retaliation game. The welfare effects of endowment changes are analyzed in terms of the standard terms of trade and volume of trade effects. If the elasticity of substitution of one of the countries is sufficiently high, immiserizing growth will not occur.      

Tariffs vs Quotas in a Model of Trade with Capital Accumulation*

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.     

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.     

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.     

“GATT‐think” with Asymmetric Countries*

We argue that a trade agreement which conforms to GATT’s reciprocity rule benefits the (stronger) less trade‐dependent country at the expense of the (weaker) more trade‐dependent country. Reciprocity is so unfavorable to the weaker country that it may be worse off under reciprocity than under the Nash‐ bargaining solution, a “power‐based” approach to trade negotiations that reflects power asymmetries among trading partners. Our results question Bagwell and Staiger’s (1999 , 2000 ) view of reciprocity as a rule that “serves to mitigate the influence of power asymmetries on negotiated outcomes.”     

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.     

Does Tariff Induce Intellectual Property Right Protection and Reduce Incidence of Piracy?

We consider a model with North exporting a copyrighted product to South where there is IPR violation, and South exports a basic good to North. We examine the impact of North's imposition of import tariff on South's monitoring of IPR violation and the incidence of piracy. If South values IPR compliance “lowly”, then tariff imposition do not alter the pre‐tariff no monitoring equilibrium outcome but unambiguously raises the incidence of piracy. If IPR compliance is valued “highly” then tariff either switches the equilibrium outcome from not monitoring to monitoring or increases its rate. However, the incidence of piracy may increase.     

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。     

Exempted sectors in free trade agreements

Almost all participants in free trade agreements (FTAs) exclude at least a few products or sectors from complete tariff removal on the exports of their FTA partners. The positive tariffs that remain within an FTA are often the highest tariffs that the countries apply on an MFN basis. It seems plausible that such exclusions may be chosen because the domestic producers of these products are viewed as especially vulnerable to competition from imports from the partner country. In brief, they are especially “sensitive sectors.” We develop this idea theoretically and then test it empirically on data from 37 countries in 240 importer–exporter pairs within FTAs. We find support for the sensitive‐sector hypothesis only in the high‐income countries. We find that low‐income countries, in contrast, exempt sectors where bilateral tariff removal would be more likely trade‐diverting and therefore harmful. Our explanation for this, supported empirically, is not that they are following the advice of trade economists, but rather that they are avoiding loss of tariff revenue and may also perhaps be influenced by the greater bargaining power of richer and/or larger partners in their FTAs.     

The Welfare Synergy of Bundling International Environmental Agreements with International Trade Treaties

This paper examines whether linking environmental cooperation with international trade agreements improves the welfare of the participating countries and allows countries to move closer to free trade compared with trade‐only agreements. The model is an infinitely repeated game with the threat of reversion to Nash equilibrium if an economy deviates from the cooperative agreement. It is found that such a synergy exists in a symmetric two‐country model with two goods, both emitting pollutants even when the externalities have local impact. A combination of analytic and numerical simulation analysis is used to derive the conclusions.     

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.     

WAGE SUBSIDY AND WELFARE IN DEVELOPING COUNTRIES

This paper seeks to answer if wage subsidy to workers displaced due to trade reform raises welfare in a developing country. We use a general equilibrium model with non‐specific factor inputs and trade liberalization as a policy variable. A combination of wage subsidy and tariff rate obtains the second‐best welfare level. The theoretical result is new, policy‐relevant and important in view of political‐economy aspects of free trade in developing and transition countries.     

The Gains from Trade in a Cournot–Nash Trading Equilibrium

It has recently been suggested by several authors that a Cournot–Nash free‐trade equilibrium might leave each country worse off than under autarky, in apparent contradiction of earlier findings. In the present note it is shown that the suggestion is typically based on self‐contradictory assumptions and is therefore unacceptable.     

The role of the most favored nation principle of the GATT/WTO in the New Trade model

I study the impact of the most favored nation (MFN) principle of the GATT/WTO on bilateral trade agreements in the New Trade model. The paper offers four main predictions. First, a bilateral trade agreement without external tariff adjustments hurts the outside country, while a bilateral trade agreement under MFN benefits the outside country. Second, the MFN principle may cause a free‐rider problem. Third, a Pareto‐improving bilateral trade agreement under MFN does not exist if initial tariffs and the elasticity of substitution are sufficiently low. This suggests that the MFN principle may prevent bilateral trade agreements in the future when tariffs are already low and that the definition of “like products” in the MFN rule is welfare improving only if it covers only goods that are closely substituted. Fourth, in the future when tariffs are low, multilateral negotiations and preferential trade areas will become more desirable. Using a calibrated 10‐region 33‐industry model, I show that around 30% of bilateral trade agreements that would be agreed upon in the absence of the MFN rule could not be agreed upon if the MFN rule is imposed.