This paper shows that a strong comparative advantage is necessary for free trade and specialization in a 2 3 2 symmetric Ricardian model to be achieved in a Nash equilibrium. Governments strategically control labor distribution across industries, and representative agents maximize CobbDouglas 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.
| IN TRO DUCT IO NThe two most important questions in international trade are the normative question of "why should nations pursue free trade?" and the positive question of "do nations have incentives to pursue free trade?" The former question is well explained by David Ricardo, in that comparative advantage is the source of mutual benefits from world trade. This paper indicates that the answer to the second question also relies on comparative advantage; a strong comparative advantage is necessary for nations to strategically pursue free trade in a Ricardian model. Defining the degree of comparative advantage as the relative productivity between more and less competitive industries in a symmetric Ricardian model with Cobb-Douglas preferences, this paper shows that a Nash equilibrium with complete specialization is achieved if and only if the measure exceeds a key value of 3, a very large number based on previous empirical studies. This paper also shows that complete specialization cannot be achieved if the government implements import tariffs in addition to labor distribution policies, or if there exist immiserizing growth effects.A rational government wants to manipulate the terms of trade by protecting the less competitive sector and controlling the more competitive one. However, protectionism under strong comparative advantage results in a decrease in the domestic production size and consequently a decrease in its welfare. Therefore, a strong mutual comparative advantage should be present in order to achieve free trade. Otherwise, the government would use trade policies such as export subsidies or import tariffs. Costinot, Donaldson, Vogel, and Werning (2015) et al. (2015) and this paper is that the former considered import tariff and export subsidy as their strategies with a passive foreign government whereas the latter considers governments' intervention in labor distribution in a Nash equilibrium. Even though this paper assumes that governments directly control the labor distribution across industries rather than using indirect tools such as tra...