Evidence on the Convergence of Per Capita Income: A Comparison of Founder Members of the Association of South East Asian Nations and the South Asian Association of Regional Cooperation

This paper investigates the per capita income convergence patterns of a set of Association of South East Asian Nations (ASEAN) and South Asian Association of Regional Cooperation (SAARC) countries. We obtained a time‐series analysis for stochastic convergence by applying unit‐root tests in the presence of two endogenously‐determined structural breaks. We then supplemented the results by tests that produced evidence for β convergence. The evidence shows that the relative per capita income series of ASEAN‐5 countries were consistent with stochastic convergence and β convergence, but this was not found for SAARC‐5 countries. For the ASEAN‐5 countries, the structural breaks associated with the world oil crisis and the Asian crisis impacted heavily on the convergence/divergence process.     

Structural Breaks and Convergence in the Regions of Peru: 1970–2010

The aim of this paper is the analysis of stochastic and β‐convergence in the relative regional per capita outputs using different unit root tests both with and without structural breaks and using a further test that is robust to the presence of I(0) or I(1) errors. It allows robust inference on the estimates of the initial per capita output (intercepts) and the respective growth rates (slopes). The results of the application of unit root tests without structural breaks show the absence of stochastic convergence. However, by incorporating the presence of endogenous breaks, the results are reversed for all regions. In the case of β‐convergence, the results of the robust test W_RQF show that all regions have a structural break at some point during the period 1970–2010. We find different behavior for different regions. There is a catching‐up process and a lagging‐behind process for different groups of regions towards more negative or more positive paths.     

An evolutionary model of long term cyclical variations of catching up and falling behind

We generalize a single-country model of endogenous growth to the case of a multi-country world economy in which technology transfer and behavioral imitation are the possible means of interaction between countries. The model is evolutionary in the sense that the economies are disaggregated by behaviourally heterogeneous firms, market selection occurs, and the innovation process is uncertain and stochastic. We demonstrate that this structure leads to a complex process of convergence and divergence over time that can be characterized as 1/f noise. Spectral analysis of measures of convergence for six core OECD countries in the period 1870–1989 reveals a similar pattern in the empirical data.     

Long-term regional convergence in Mexico: A new look

This paper explores the convergence hypothesis of Mexican states with the national level and with one another from 1940 to 2015. Interpreting convergence as catching-up, we also capture other types of regular evolution, namely, invariance of the income gap over time, permanent absence of the gap, and steadily increasing gap (deterministic divergence). As a tool of econometric analysis, we use a novel model that describes convergence by asymptotically decaying trends and covers other types of evolution as particular cases. The results obtained suggest one or other type of regularity to be peculiar to roughly ca. 40% of income gaps both with the national level and between states. However, convergence is observed only in 6% to 15% of cases. Regarding convergence at the national level, an additional analysis by three 50-year subperiod shows that in many cases the type of evolution changes for the same state from one subperiod to another. Analyzing convergence between states, we find that convergence between neighboring states is more frequent than between other states; however, the effect of the neighborhood is not too strong.     

An Evolutionary Interpretation of Mixed-Strategy Equilibria

A convincing interpretation of mixed-strategy equilibria describes them as steady states in a large population in which players use pure strategies but the population as a whole mimics a mixed strategy. I study the conditions under which an evolutionary, stochastic learning process converges to the appropriate distribution over pure strategies in the population. I find that not all mixed equilibria can be justified as the result of an evolutionary process even if the equilibrium is unique. For symmetric 2 × 2 and 3 × 3 games I give necessary and sufficient conditions for convergence, which are related to the concept of an ESS, and forn × ngames I give a sufficient condition.Journal of Economic LiteratureClassification Numbers: C73, D83.     

Assessing economic convergence in the EU: is there a perspective for the ‘cohesion countries’?

This article analyses the stochastic income convergence within the EU-15. The empirical analysis uses per capita GDP, in PPP and in constant prices of 2005 for the period 1950 to 2010. Apart from the traditional DF type tests we also account for possible structural changes. In this direction, we employ the Zivot-Andrews (1992) and the Lee-Strazicich (1999, 2003) testing procedures, for one and two breaks, endogenously determined. Furthermore, we apply the Carlino and Mills (1993) methodology proposed for the detection of β-convergence. The overall evidence supports the existence of two discrete clubs, the first by the ‘cohesion countries’ (Portugal, Ireland, Greece and Spain) and the second by the remaining members. In particular, there is a clear evidence of convergence within each club, whereas between clubs there is a luck of catching-up effects. Furthermore, investigation of correlation between relative per capita GDP of each country and several factors that are often identified as growth stimulants, namely Total Factor Productivity, FDI, investment and openness confirm, with the exception of Greece, a strong association between these factors and the convergence process. However, progress in the convergence has not been uniform across countries and over time, reflecting the specific interactions between domestic and international factors and their impact on the convergence process of individual countries.     

New evidence on the convergence of international income from a group of 29 countries

This paper updates and extends the time-series evidence on the convergence of international incomes using a set of 29 countries over the period 1900–2001. Time-series tests for stochastic convergence are supplemented with tests which provide evidence on the notion of “β-convergence” predicted by the Solow model. The evidence indicates that the relative income series of 21 countries are consistent with stochastic convergence, and that β-convergence has occurred in at least 16 countries at some point during the twentieth century. Further examination of the properties of the β-convergence test provides anecdotal evidence of conditional convergence in three additional countries for which the convergence hypothesis was initially rejected. Consideration of convergence clubs strengthens the evidence in favor of convergence. Analysis of the cross-country dispersion of incomes over time also suggests that convergence has occurred over the 1900–2001 period, particularly within certain clubs, with structural breaks associated with World War II in many countries causing a break in the convergence process.      

Technological capabilities accumulation and internationalization strategies of Mexican biotech firms: a multi case study from agro-food & pharma industries

ABSTRACT

In this paper our aim is to analyze the relationship between technological capabilities accumulation of Mexican biotech firms and their different types of internationalization strategies. Because of the determining effect of firms’ capital investment level, we analyzed three groups of firms: start-ups, small and medium-sized firms (SMEs) and multinational firms (MNEs). We made use of a wide range of information: The First Survey of Biotechnology Development Firms in Mexico, the systematization of 20 case studies, interviews with key persons in the industry and public sources. We confirmed the two hypotheses outlined: (i) TCA process does not follow a linear path in Mexican biotech firms and (ii) firms with lower capital investment levels exhibit a lower level of TCA and less complex internationalization strategies; while firms with higher capital investment levels are associated with higher TCA levels and more complex internationalization strategies. Biotechnology requires high levels of capital investment and these to a large extent determine the development and technological capabilities accumulation. Therefore, we suggest that a capitalization program is much needed to foster Mexican biotech firms’ TCA processes and develop internationalization strategies.     

Learning Dynamics in Games with Stochastic Perturbations

Consider a generalization of fictitious play in which agents′ choices are perturbed by incomplete information about what the other side has done, variability in their payoffs, and unexplained trembles. These perturbed best reply dynamics define a nonstationary Markov process on an infinite state space. It is shown, using results from stochastic approximation theory, that for 2 × 2 games it converges almost surely to a point that lies close to a stable Nash equilibrium, whether pure or mixed. This generalizes a result of Fudenherg and Kreps, who demonstrate convergence when the game has a unique mixed equilibrium. Journal of Economic Literature Classification Numbers: 000, 000, 000.     

Economic Dynamics with Learning: New Stability Results

Drawing upon recent contributions in the statistical literature, we present new results on the convergence of recursive, stochastic algorithms which can be applied to economic models with learning and which generalize previous results. The formal results provide probability bounds for convergence which can be used to describe the local stability under learning of rational expectations equilibria in stochastic models. Economic examples include local stability in a multivariate linear model with multiple equilibria and global convergence in a model with a unique equilibrium.     

Border region panel evidence on PPP deviations

This article examines prices for 32 identical menu items sold by restaurant franchises operating on both sides of the border between El Paso in the US and Ciudad Juárez in Mexico from July 1997 to June 2008. The relationship between Real Exchange Rate (RER) volatility and the degree of price convergence is examined within a panel data context. The city-pair and goods selected provide a unique experiment in which distance, tradability and industry considerations are set aside and the extent of RER volatility is the only factor to influence price convergence. We find nonmonotonic relationships between mean reversion and RER volatility: very fast adjustments for both low and high volatility panels of goods (between 1 and 2 months) and slower half-lives (between 3 and 4 months) at moderate levels of uncertainty. These figures are, however, substantially smaller than the 6 or 7 months reported in previous research for general US–Mexico goods, suggesting the very strong price convergence observed along the US–Mexican border.     

World economic convergence: Does the estimation methodology matter?

An extant empirical literature produces evidence on economic convergence using methods that assume an underlying deterministic trend. Competing approaches that assume a stochastic trend, however, produce only limited evidence of economic convergence. In this paper we address this puzzling feature of the literature by providing a comprehensive analysis of economic convergence using three methodologies that cover all possible underlying assumptions: deterministic, stochastic, and combination trends. We also develop a method for an overall Stochastic Convergence Rate Index, that combines the outcomes of alternative stochastic tests and provides a single measure of the intensity of stochastic convergence. We consider 135 economies over the period 1980–2017. We find that economic convergence occurs at a global level through the formation of convergence clubs, and economic convergence emerges as a deterministic rather than a stochastic process. Tests that ignore deterministic trends tend to understate the evidence for convergence.     

City CPI Convergence in Mexico

This paper tests the purchasing power parity hypothesis within a single developing country currency area: Mexico. This work stems from research in comparing price movements across countries and a growing literature on price dynamics within a single currency area. The author uses city Consumer Price Index data for 34 cities in Mexico over the period 1982–2000. He followed the standard procedure of testing for I(1) processes in relative city prices, or city real exchange rates, using univariate and panel unit root tests. The main results of the paper are: First, Mexican city relative prices are stationary—the data rejects the hypothesis that city real exchange rates contain a random walk, but only using panel unit root techniques. Finally, regional demand and supply homogeneity implies stronger evidence for price parity within regions, while there is considerable evidence of regional price convergence, regional homogeneity does not guarantee faster convergence.     

“Expiration hour effect of futures and options markets on stock market” — A case study on NSE (National Stock Exchange of India)

This paper studies the effect of expiration day of the Index futures and Options on the trading volume, variance and price of the underlying shares. The impact of derivatives trading on the underlying stock market has been widely documented in the Finance literature. In particular, significant differences in the statistical properties of asset returns (for instance, mean and variance) during expiration and non-expiration days have been advanced as an evidence for the destabilization effect (or lack there of) of derivative instruments. The earlier studies have, however, drawn their conclusions without rigorously modelling the underlying stochastic data generation process. Given that the statistical properties mentioned before are merely traits of the asset returns, this approach can lead to spurious results if analyzed in isolation of the underlying process. We propose to address this crucial shortcoming by examining the expiration day effect from a GARCH (Generalized Auto Regressive Conditional Heteroskedastic) framework. We use both daily and high frequency (5 min and 10 min) data on S&P CNX Nifty Index. Our central finding using intra-day data is that while there is no pressure – downward or upward – on index returns, the volatility is indeed significantly affected by the expiration of contracts. This effect, however, doesn’t show up in daily data.     

Portugal–EU Convergence Revisited: Evidence for the Period 1960–2003

This paper uses the stochastic approach to convergence to investigate whether real per capita GDP in Portugal has been converging to the EU15 average. The estimation accounts for conditional convergence, transitional dynamics and up to two structural breaks. It is found that per capita GDP in Portugal has indeed converged to the EU15 average, but the pace of convergence has not been uniform along time. In particular, a slow down in the convergence process is identified in 1974. This result depends, however, as to whether the choice of this break-date is viewed as uncorrelated with the data. No evidence of acceleration in the speed of convergence is found after EC accession, in 1986.An earlier version of this paper was presented at the Fifty-Ninth International Atlantic Economic Conference, London, England, March 9–13, 2005. Helpful suggestions from the conference participants and Luis Catela Nunes are acknowledged. The author expresses his gratitude for the financial support of the Portuguese Foundation for Science and Technology (FCT), under research grant POCI/EGE/55423/2004 (partially funded by FEDER).     

Distribution Dynamics and Cross‐Country Convergence: A New Approach

Distribution dynamics is a method for studying the evolution in time of an entire cross‐section distribution and has been initially employed to assess cross‐country convergence of per capita incomes. It has subsequently seen a widespread application in many different economic areas. When describing the law of motion of the distribution as a Markovian stochastic process, working in a discrete state‐space set up has several advantages, but the arbitrary discretisation of a continuous state‐space process has the undesired effect of removing the Markov property. This paper outlines a rigorous method for discretising a continuous state‐space Markov chain. The method is then applied to the distribution of per capita income across countries to reassess the (non‐) convergence phenomenon. It is found that the long run polarisation of per capita incomes across countries emerges even more dramatically than in previous studies.     

Strong dependence in the real interest rates

The stochastic behaviour of the real interest rates in ten European countries, Canada and the US is examined in this article by means of fractionally integrated techniques. Using a procedure, specifically designed for testing I (d) statistical models, the results show that the real interest rates are more persistent in some countries like France, Belgium or the USA than in others like the UK or Germany.     

Real convergence: empirical evidence for Latin America

This article investigates the real convergence of 17 Latin American countries to the US economy for the period 1950 to 2011. Time series methods are used to test stochastic and β-convergence. These methods include the possibility of one or two structural changes. The results show that when endogenous structural changes are considered several Latin American countries exhibit stochastic convergence. Nevertheless, real convergence to the US is found only for three Latin American countries: Chile, Costa Rica and Trinidad and Tobago, with these countries also presenting evidence of stochastic and β-convergence.     

WHY DO RATES OF β‐CONVERGENCE DIFFER? A META‐REGRESSION ANALYSIS

The roles played by differences in study design and methodology in influencing the estimates of β‐convergence have been hinted at in narrative reviews of the empirical convergence literature. While such reviews are useful, they only provide informal evidence as to the reasons for the study‐to‐study variation in reported convergence rates. In contrast, meta‐regression analysis is a way of formally measuring the roles played by study design and methodology in influencing β‐convergence. In cross‐national studies, convergence rates are found to be higher when panel estimation methods are used, and when human capital development, investment rates and spatial factors are controlled for. The longer the time span covered by the estimation, the lower the rates. In intra‐national studies, β‐convergence is higher when the investment rate is included as a conditioning variable and when GMM estimation methods are used. Rates are found to be lower in studies of developing countries.     

Do the Spanish regions converge? A unit root analysis for the HDI of the Spanish regions

This article studies the possible stochastic convergence between the Spanish regions in 1980–2010. The application of unit root techniques to the new Human Development Index recently calculated in Herrero et al. (2013) allows us to show that the evolution of the Spanish economy can be better understood as the sum of divergent forces rather than as a group of convergent regions. Similar conclusions can be drawn when the per capita GDP is used, although these two variables exhibit different patterns of behaviour at the end of the sample. Finally, we also observe that the distance between northern and southern regions has increased since 2000.