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.     

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.      

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.     

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。     

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.     

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.     

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.     

Does trade liberalization and its associated increased economic activity affect permanently the value and pattern of trade flows?

Despite a number of multi-country case studies based on a variety of analytical frameworks and numerous econometric studies using large cross-country data sets that analyse trade openness and its induced economic activities that alters both the volume and value of trade flows, there is still disagreement among economists concerning the nature of this relationship. In this article, we follow a rather unique approach by estimating the density functions of the observed trade flows and the density functions of trade flows generated by tariff removal using an intertemporal global Computable General Equilibrium (CGE) model. Our inquiry is whether or not the trade flows generated by global tariff elimination impact economies in the long-run and alter their historical underlying distributions. If the latter case prevails, it implies that the economies follow a different transitional path into a new steady-state equilibrium. The density functions, estimated parameters and higher moments of the observed trade flow distributions are distinctly different from the parameter estimates of the trade flows generated by the model. In this sense, trade-inducing economic activity as generated by tariff removal and captured by the neoclassical specification of the model is associated with trade flows along a different transitional path from the observed trade flows.     

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.     

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.     

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.     

Trade liberalization,wilful credit defaults and bank bribery in a credit-constrained economy

The rising incidence of credit defaults may cause credit crunch. This affects the ability of firms to finance working capital and also fixed capital formation. Naturally, this is a major macroeconomic shock. This paper is an attempt to address the microeconomic foundation of such macroeconomic shock. We provide a theoretical framework to explain the economic rationale behind ‘wilful corporate defaults’ and ‘financial corruption’ in the specific context of trade liberalization. First, we model the behavioural aspects of wilful corporate defaulters and bank officials to determine the bank bribe rate as an outcome of the Nash bargaining process in a two-stage sequential move game. Based on the results of the partial equilibrium framework, we examine aspects of trade liberalization in an otherwise 2 × 2 general equilibrium framework. We also compare the efficacy of punishment strategies to economic incentives to deter credit defaults and banking sector corruption. Methodologically, our analytical model integrates finance capital distinctly from physical capital in Jonesian general equilibrium framework. Interestingly, our findings indicate that there exists a trade-off at equilibrium between curbing credit defaults and bribery. We also find that not all punishment strategies are equally effective at deterring credit defaults if general equilibrium interlinkage effects are carefully dealt with.     

The structure of Nash equilibrium tariffs

This paper examines theoretically the structure of optimal (Nash equilibrium) tariff rates in a two-country economy with more than two traded goods. We provide a condition under which the equilibrium tariff rates are uniform in both countries, and explore the relative size of the equilibrium tariff rates in each country when the uniform tariff condition is not satisfied. The elasticities of compensated excess demand for goods play an important role in characterizing the structure of the equilibrium tariff rates. This paper undertakes the analysis using a dual approach.     

Coordination need not be a problem

In a game of common interest there is one action vector that all players prefer to every other. Yet there may be multiple Pareto-ranked Nash equilibria in the game and the “coordination problem” refers to the fact that rational equilibrium play cannot rule out Pareto-dominated equilibria. In this paper, I prove that two elements — asynchronicity and a finite horizon — are sufficient to uniquely select the Pareto-dominant action vector (in subgame perfect equilibrium play). Asynchronicity may be exogenously specified by the rules of the game. Alternatively, in a game where players choose when to move, asynchronicity may emerge as an equilibrium move outcome.     

Strategic tariffs, tariff jumping, and heterogeneous firms

The majority of research to date investigating strategic tariffs in the presence of multinationals finds a knife-edge result where, in equilibrium, all foreign firms are either multinationals or exporters. Utilizing a model of heterogeneous firms, we find equilibria in which both pure exporters and multinationals coexist. We utilize this model to study the case of endogenously chosen tariffs. As is standard, Nash equilibrium tariffs are higher than the socially optimal tariffs. Unlike existing models with homogeneous firms, we find that non-cooperative tariffs promote the existence of low-productivity firms relative to the socially optimal tariffs. This highlights a new source of inefficiency from tariff competition not found in models of homogeneous firms. In addition, we find that in many cases the Nash equilibrium tariff when FDI is a potential firm structure is lower than when it is not. As a result, FDI improves welfare by mitigating tariff competition.     

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.     

The magnification effect in global value chains

We examine the “magnification effect,” which demonstrates that as the number of separable production stages increases, trade increases dramatically as trade costs decline. We empirically investigate the existence of this magnification effect by estimating gravity-type equations for worldwide trade to obtain the tariff elasticity of trade per industry. We find that tariff elasticity is higher in industries with a greater degree of global value chain participation. These results are observed for both gross and value-added trade. Furthermore, we find that tariff elasticity is higher in intra-Asian trade, especially in machinery industries.     

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.     

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.     

The Mercantilist Index of Trade Policy*

We introduce an index of trade policy restrictiveness defined as the uniform tariff that maintains the same trade volume as a given tariff/quota structure. Our index overcomes the problems of the trade‐weighted average tariff: It avoids substitution bias, correctly accounts for general equilibrium transfers, and takes import volume instead of welfare as benchmark. Empirical applications to international cross section and time‐series comparisons of trade policy confirm our theoretical results: Trade‐weighted average tariffs generally underestimate the true height of tariffs as measured by the trade‐volume‐equivalent index; this in turn always underestimates the welfare‐equivalent index.