Micro Convergence and Macro Convergence: Factor Price Equalization and Per Capita Income

Factor price equalization implies the equality of prices of the same productive factors across countries owing to free trade. The present paper examines the relationship between factor price equalization and the equality of per capita (per worker) incomes in the contexts of the static Heckscher–Ohlin trade model and the dynamic two-sector neoclassical growth model. Factor price equalization is shown to be neither necessary nor sufficient for equality of per capita incomes across trading countries.     

Trade,growth, and convergence in a dynamic Heckscher–Ohlin model

In models in which convergence in income levels across closed countries is driven by faster accumulation of a productive factor in the poorer countries, opening these countries to trade can stop convergence and even cause divergence. We make this point using a dynamic Heckscher–Ohlin model—a combination of a static two-good, two-factor Heckscher–Ohlin trade model and a two-sector growth model—with infinitely lived consumers where international borrowing and lending are not permitted. We obtain two main results: First, countries that differ only in their initial endowments of capital per worker may converge or diverge in income levels over time, depending on the elasticity of substitution between traded goods. Divergence can occur for parameter values that would imply convergence in a world of closed economies and vice versa. Second, factor price equalization in a given period does not imply factor price equalization in future periods.     

Globalization and the Inequality–Unemployment Tradeoff

Over the last 20 years, advanced economies have experienced an “unemployment versus inequality” tradeoff that is critically uneven across countries. To explain this, we propose an extended HOS model in which: the factors are skilled and unskilled labor; there is a continuum of goods; the world comprises two North countries (one egalitarian and one nonegalitarian) and the South; there is no factor price equalization; globalization consists in the South cornering a growing share of world production. In the North, globalization entails an inequality–unemployment tradeoff and the adjustment to globalization is more painful for the country that was initially inequality‐oriented.     

The Lens Condition with Two Factors

The authors give a simple, constructive proof that the lens condition implies the factor price equalization condition when there are only two factors. Taking stock of the conditions under which the lens condition is equivalent to the factor price equalization condition, there are the conditions of two factors or two goods or two countries, or the condition that the rank of the factor‐use matrix is equal to the number of goods. It is shown that, in an essential sense, there are no other such conditions.     

Conditions for Factor Price Equalization in the Integrated World Economy Model

The lens condition proposed by Deardorff in 1994 has been argued not to be sufficient for factor price equalization in general. This paper shows that the lens condition is necessary and sufficient both in the two‐factor case and in the three‐good case. The results imply that two is the largest number of factors for the lens condition to guarantee factor price equalization when the number of goods and that of countries are arbitrary. A sufficient condition for factor price equalization is also given in the case where the number of goods, that of countries, and that of factors are all arbitrary.     

Trade and the Speed of Convergence

Numerous studies on income convergence estimate the convergence equation derived for autarkic economies using data from the world that is increasingly integrated. This paper derives a convergence equation for a world integrated by trade from the standard Heckscher–Ohlin model with factor price equalization. The convergence equation for an integrated world differs from the autarkic one in that (1) the growth rate of each economy is increasing in the global growth rate; (2) the rate of convergence is increasing in the global growth rate; and (3) the rate of convergence, under conventional parameter values, is much lower.     

Trade,Migration, and Inequality in a World without Factor Price Equalization

The behavior of trading economies in the absence of factor price equalization is not well understood, although empirical evidence against factor price equalization is overwhelming. We map regions of diversification and specialization for competitive world economies with different factor endowment partitions. Goods and factor price responses as economies move within and across different regions of specialization are explored using a series of novel diagrams. The usefulness of endogenizing patterns of specialization is illustrated by considering the impact on inequality of migration flows (such as US–Mexico), the substitutability of trade and migration, and the impact of the entry of a large unskilled labor‐intensive economy (such as China) on factor prices and factor flows.     

Two Dimensions of Convergence: National and International Wage Adjustment Effects of Cross-border Outsourcing in Europe

The paper proposes a distinction between the two dimensions of convergence—within and between countries—when analyzing the impact of cross‐border outsourcing on real wage rates in the EU‐15 and the CEEC. In the CEEC, international outsourcing has not affected the adjustment of average real wage rates at the manufacturing industry level, but it has led to a closure of the gap within a typical EU economy. Between‐country convergence is likewise fostered by cross‐border outsourcing, supporting the hypothesis that outsourcing facilitates international factor price equalization.     

FACTOR PRICE EQUALIZATION IN JAPANESE REGIONS*

This paper tests factor price equalization (FPE) in Japanese regions. I found that FPE is strongly rejected, even when unobserved cross‐regional differences in factor quality and productivity are considered. The wage tends to be low in labour‐abundant regions specializing in labour‐intensive industries. The cross‐regional gap in absolute wage levels remains large, while convergence is observed during the 1990s, a period of wage declines that appeared to be related to deep import penetration. This finding of FPE violation is to be expected, given the restricted interregional labour mobility and distinctive difference in specialization patterns across regions in Japan.     

GLOBAL BUSINESS CYCLES: CONVERGENCE OR DECOUPLING?*

We analyze the evolution of the degree of global cyclical interdependence over the period 1960–2008. Using a dynamic factor model, we decompose macroeconomic fluctuations in output, consumption, and investment into a global factor, factors specific to country groups, and country‐specific factors. We find that during 1985–2008, there is some convergence of business cycle fluctuations among industrial economies and among emerging market economies. Surprisingly, there is a concomitant decline in the relative importance of the global factor. We conclude that there is evidence of business cycle convergence within each of these two groups of countries but divergence (or decoupling) between them.     

Pricing in Segmented Markets, Arbitrage Barriers, and the Law of One Price: Evidence from the European Car Market

The paper uses micro‐level price data from the European car market to examine why there are deviations from the law of one price. The absolute law of one price is strongly rejected, but there is convergence to its relative version. Two sets of explanations are considered: (i) price‐setting in segmented markets, and (ii) arbitrage barriers. Overall, the determinants of arbitrage costs have more explanatory power. The single most important factor is the distance between markets. Evidence for Belgium and Luxembourg suggests that a single currency lowers price differences significantly.     

Factor Price Equalization in a World of Many Trading Countries

Conditions sufficient for factor price equalization within any non‐trivial subset of trading countries are provided. The conditions are that (a) the factor endowment ratios of countries in the subset are all bounded by the factors‐in‐use ratios in an equilibrium of the hypothetical world economy in which factors are perfectly mobile within the subset, and that (b) in dimensions higher than two, either the rank of the factors‐in‐use matrix is 2 or products do not outnumber factors and the factors‐in‐use matrix is of full rank.     

THE HIGH COST OF EATING: CAUSES OF INTERNATIONAL DIFFERENCES IN CONSUMER FOOD PRICES

Prices of food vary greatly among the developed countries, and some countries' food prices have been consistently far above the OECD average. The main explanation for food price difference is the extent of protection of agricultural products at the farm level. A second important influence is the level of VAT on food. A third is deviations of aggregate country price levels from the levels that would be predicted from their per capita incomes, presumably because of omitted characteristics of the countries' economies, such as, possibly, inefficient or monopolistic service sectors. In addition, there are occasional episodes of high or low price levels due to temporary factors affecting exchange rates.
The degree of protection of agricultural products is treated both as an exogenous factor and as an endogenous one. In the latter case, it is explained by climatic conditions and, presumably, the political influence of the agricultural sector or a general desire to retain an agricultural sector despite poor growing conditions.     

Can Rich Countries Become Pollution Havens?*

This paper bridges the gap between two‐country Ricardian trade models where differences in environmental policies create pollution havens in a poorer region with weaker pollution regulations, and 2 × 2 Heckscher–Ohlin models that predict under certain conditions that pollution havens may occur in a richer region with tighter regulations. By relaxing the Heckscher–Ohlin assumptions of factor price equalization and no specialization, we show how creation of pollution havens in either region is possible, due to the interplay of policy and factor‐endowment motives. We also analyze the conditions for creating pollution havens in the cases of exogenous and endogenous environmental policy.     

Foreign investment and expropriation under oligarchy and democracy

We study the incentives to expropriate foreign capital under democracy and oligarchy. We model a two‐sector small open economy where foreign investment triggers Stolper–Samuelson effects through reducing exporting costs. The incentives to expropriate depend on the distributional effects associated to the investment. How investment affects the incomes of the different groups in society depends on the sectors where these investments are undertaken and on structural features of the economy such as factor intensity, factor substitutability, and price and output elasticities. We characterize the equilibria of the expropriation game and show that if investment is undertaken in the sector that uses labor less intensively then democratic expropriations are more likely to take place. We test this prediction and provide strong evidence of its validity.     

Factor Substitution and Relative Factor Prices

This paper examines the effects of factor endowments on factor prices in a three‐factor, two‐commodity general‐equilibrium model with endogenous commodity demand and prices. Unlike the conventional small open‐economy model that assumes constant commodity prices, factor substitution influences the direction of these effects. When a factor endowment increases, complementarity with the expanding factor benefits an unchanged factor, but substitutability harms it. If the unchanged factors are complements, there is a possibility of a rise in the expanding factor's price. A comparison of this closed‐economy model with the small open‐economy model reveals the role of international trade, which dampens the effect on the expanding factor's price.     

The time-varying integration of euro area government bond markets

We derive a model in which a standard international capital asset pricing model (ICAPM) for government bonds is nested within an ICAPM with impediments to invest in the local government bond markets. Excess returns or risk premiums are then driven by a country-specific or idiosyncratic stochastic factor on top of the common factor which has a time-varying idiosyncratic impact on the premiums. With this model we investigate the financial integration of government bond markets over time through two channels. First, we allow for gradual convergence from the full ICAPM with impediments to the standard model through the vanishing of the idiosyncratic factors. Second, we allow for gradual equalization of the country-specific impacts of the common factor. State space methods are used to estimate the model with weekly government bond risk premiums for Belgium, France, Italy, Germany, and the Netherlands over the period 1995–2009. Our results suggest, first, that the idiosyncratic factors were almost eliminated by 2006 in all countries but Italy but then reappeared due to the financial crisis that started in 2007. Second, the country-specific exposures to the common international risk factor have converged across countries, with no setback during the crisis.     

Per Capita Income and the Mystery of Missing Trade

The literature on the Heckscher–Ohlin–Vanek (HOV) model has concentrated on the production side, particularly the unrealistic assumptions of identical techniques and factor price equalization. However, less is known about the demand side. In this paper, we compare the supply side assumptions versus the demand side assumptions as a cause of the empirical failures in the HOV prediction. While the relaxation in the supply side assumptions is crucial to predict the direction of factor trade, the demand side assumptions are shown to play an important role in explaining why factor trade is “missing” in relation to the HOV prediction. For example of the slope test for labor, the supply side repair improves from 0.026 to 0.162, whereas the demand side repair improves significantly from 0.162 to 0.891.     

Shedding light on the convergence debate: Using luminosity data to investigate economic convergence in Ecuador

The objective of this research is to analyze convergence in incomes per capita in Ecuador over the period 1992–2013. Using the National Oceanic and Atmospheric Administration’s satellite data capturing nighttime luminosity by region to proxy income, we undertake an analysis of economic convergence between provinces and cantons in Ecuador over the period 1992–2013. Traditional regression analysis alongside dynamic distribution analysis is used to verify the existence and determine the nature of convergence among Ecuadorian territories. What is found is that economic convergence across Ecuador’s provinces can be confirmed with a speed of convergence approximating Barro’s iron‐law of 2% per annum. In contrast to the expectations of finding convergence over recent years, the major progress in economic convergence was made over the 1992–2002 period. This was the period with the highest political and economic uncertainty. Investigating convergence in human development indicators such as infant mortality rates suggests that the boom‐financed period of economic prosperity did however coincide with a significant catchup of provinces lagging in human development achievements to leaders in this dimension.     

DUALITY WITH SECTOR‐SPECIFIC EXTERNALITIES UNDER SOCIAL CONSTANT RETURNS*

We develop dual approaches to quantity and price relationships of production in a general multisectoral model with sector‐specific externalities. The production of each good exhibits socially constant returns to scale but privately decreasing returns. We find that the Stolper‐Samuelson theorem holds for factor intensity ranking from the social perspective and that the Rybczynski theorem holds for factor intensity ranking from the private perspective. The price‐output dual fails to hold in general. Moreover, we re‐establish the Heckscher‐Ohlin theorem in the two‐sector case, as well as the factor endowment–factor price and price‐output comparative statics in the high‐dimension case under proper conditions.