Indeterminacy in a dynamic two-country model

The purpose of this paper is to show that indeterminacy can arise in a simple competitive two-country dynamic model of international trade, free of externalities, imperfect competition, and government intervention. This seemingly surprising result is based on an assumption that there is no international credit market. As will be shown later, the assumption implies that dynamic equilibrium paths of our two-country, therefore heterogeneous consumer, model are not generally Pareto-optimal.The paper is dedicated to Professor Mukul Majumdar on the occasion of his 60th birthday with great respect. We thank Takashi Kamihigashi, Tapan Mitra and Makoto Yano for their useful comments on the earlier version of this paper.     

Firm age and the evolution of borrowing costs: Evidence from Japanese small firms

This paper investigates how firms’ borrowing costs evolve as they age. Using a new panel data set of about 100,000 bank-dependent small firms for 1997–2002 and focusing on the channel of “adaptation” (i.e., surviving firms’ borrowing costs decline as they age) and that of “selection” (i.e., total borrowing costs decline as defaulting firms exit), we find that the reputation hypothesis suggested by Diamond (1989) provides a more plausible explanation of the downward sloping age profile of borrowing costs than the firm dynamics (Cooley and Quadrini, 2001) or the relationship banking (Boot and Thakor, 1994) hypothesis. In addition, we examine whether the firm selection process in Japan has been natural or unnatural. Our findings suggest that it has been natural in that firms with lower quality are separated, face higher borrowing costs, and are eventually forced to exit, which contrasts with the results of previous studies on credit allocations in Japan, including Peek and Rosengren (2005). Further, we find that the evolution of borrowing costs is partially due to selection but is mainly attributable to adaptation.     

The Walras core of an economy and its limit theorem

The Walras core of an economy is the set of allocations that are attainable for the consumers when their trades are constrained to be based on some agreed price system, such that no alternative price system exists for any sub-coalition that allows all members to trade to something better. As compared with the Edgeworth core, both coalitional improvements and being a candidate allocation for the Walras core become harder. The Walras core may even contain allocations that violate the usual Pareto efficiency. Nevertheless, the competitive allocations are the same under the two theories, and the equal-treatment Walras core allocations converge under general conditions to the competitive allocations in the process of replication.     

Technical progress,population growth and intergenerational equity in a model with many exhaustible and renewable resources

A condition ensuring intergenerational equity is derived using a neoclassical model of many exhaustible and renewable resources involving technical progress and population growth.     

Charting the pacific: an empirical assessment of integration initiatives

Trade negotiations after Uruguay may well be dominated by the Pacific Rim, where two free trade areas (ASEAN Free Trade Agreement, or AFTA; and North American Free Trade Agreement, or NAFTA) already exist and larger agreements are under active discussion (involving the Asia Pacific Economic Cooperation, or APEC, area and an East Asian Economic Group). This article analyzes several initiatives using a simple global general equilibrium model that incorporates conventional welfare gains as well as benefits derived from firm level economies of scale, induced changes in foreign investment, and dynamic increases in productivity. Broad Pacific liberalization—i.e., East Asia, North America, and Australasia—is shown to be superior for each participant to liberalization limited to individual countries or East Asia, but not by much. Most favored nation liberalization is shown to be superior for each participant to preferential liberalization—if the actor is East Asia, but not the Pacific as a whole. These estimates will need to be refined, but they suggest that the benefits from Pacific liberalization could exceed $100 billion per year.     

A simple proof of the Sato proposition on non-homothetic CES functions

Summary. Based on some elementary results on duality, the paper proposes a much simpler way of deriving the class of non-homothetic CES production functions which was derived as a solution to a partial differential equation that defines the elasticity of substitution. Received: February 11, 1998; revised version: April 28, 1998     

A two-country dynamic Heckscher–Ohlin model with physical and human capital accumulation

We study a two-country endogenous growth model in which the long-run growth is propelled by the accumulation of physical and human capital. We show that in the integrated world economy, there exists a unique and locally saddlepoint stable balanced growth equilibrium. We also show that the incorporation of adjustment costs in the process of human capital accumulation leads to a lower long-run growth rate. We then show that, in the 2-country world economy with international trade, balanced growth is possible. Finally, we present a dynamic Heckscher–Ohlin theorem concerning the pattern of international trade. We appreciate the constructive comments from an anonymous referee which have improved this paper significantly. We acknowledge also with gratitude the valuable comments of Hideyuki Adachi, Kosuke Aoki, Daniel Bernhofen, Eric Bond, Koichi Futagami, Ronald Jones, Tamotsu Nakamura and Raymond Riezman on earlier versions. We appreciate also the beneficial comments from the participants of the GEP conference on New Directions in International Trade Theory held in the University of Nottingham and of the Adachi OB Workshop in Kobe University.