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Innovation convergence is critical to national or regional economic growth patterns. This article provides a systematic review of innovation convergence research through qualitative discussions combined with bibliometric methods. Through this article, researchers interested in the field of innovation convergence can quickly understand the development of the field, quickly identify authors and publications with significant impact, and collaborative networks in the field.

This article is based on the relevant literature included in the WOS database from 1990 to 2021, using Citespace, Gephi and other software to conduct a systematic bibliometric analysis of the research in the new convergence field.

This research shows that the second half of the twentieth century was a boom period for research on economic convergence. 2. The subject foundation of innovation convergence research mainly includes mathematics, economics, political science and computational science. 3. The journals that publish research in this field are widely distributed, including the fields of economics, natural sciences and complex sciences. 4. The research in the field of innovation convergence is inseparable from the research in the field of economic growth.

This study may help others to understand the development history and research trends of the innovation convergence field, as well as the literature and cooperative scientific research institutions that have an important influence.

The purpose of this paper is to investigate convergence or divergence trends at global scale.

The paper questions the methodology and findings of the conventional convergence literature using linear OLS models. It introduces polynomial (quadratic) weighted least square (WLS) regression analysis to explore whether a number of economic performance indicators follow a non‐linear pattern of change.

The results indicate the formation of two groups in the world: a convergence one, including countries with low to medium‐high development levels, and a divergence one including countries with medium‐high to very high development levels.

Data availability after 1990 (for the composite indicators).

The findings shed light on important issues, such as the decrease of economic disparities between countries, the prospects for global economic convergence, and the development of a more equal world. Apart from obvious policy implication such findings are also of theoretical significance, providing a basis to check (indirectly) the validity of alternative growth theories.

This is the first paper (to the authors' knowledge) that explores world convergence/divergence employing quadratic WLS regression analysis with a number of economic indicators. WLS regressions enable the removal of the impact of country size on results, whereas non‐linear modelling allows the possibility of multiple equilibria and different development trajectories to be taken into account. Finally, the employment of various economic‐performance indicators (simple and composite) works as a cross‐check of validity for the results provided.

This paper aims to examine the convergence in per-capita income (measured as per-capita net state domestic product) of regions in India during the period 1990–1991 to 2017–2018. Two separate analyses have also been done for the sub-periods, i.e., 1990–1991 to 2003–2004 and 2004–2005 to 2017–2018, to find out the effect of the second phase of economic liberalization in India.

In a panel data study, the estimation of absolute and conditional beta (β)-convergence and sigma (σ)-convergence across 17 Indian regions have been done. To measure the dispersion of per-capita income across the regions in India, the standard deviation of logs, Gini coefficient, Mehran measure, Piesch measure, Kakwani measure and Theil index have been estimated. In addition to this, these indices have been regressed over time.

This study finds the presence of absolute and conditional β-convergence; the regions with low initial per-capita income have grown faster than the regions with high initial per-capita income. Further, this study finds that foreign direct investment (FDI) inflow and the availability of power enhance growth across regions. However, this study finds the presence of σ-divergence, which indicates that the economic inequality among the regions in India has widened over the periods, calling for policy interventions to promote growth in the backward regions through the promotion of FDI inflow and the availability of power.

This study highlights the rising economic inequality among the regions in India by analyzing the latest available data through appropriate econometric techniques.

The purpose of this paper is to empirically test the economic convergence that operate between five selected Asian countries (namely Thailand, Singapore, Malaysia, the Philippines and Indonesia). In particular, it seeks to investigate how increased economic integration has impacted the inter-country income levels among the five founding members of ASEAN.

A new Machine Learning (ML) approach is applied along with a panel data analysis (GMM), and the application of KOF Globalization Index.

The Generalized Method of Moments (GMM) results highlight that the endogenous growth theory seems to be supported for the selected Asian countries, indicating evidence of diverging forces resulting from unequal growth and polarization dynamics. Overcoming the technical issues raised by the econometric approach, the new ML algorithm brings contrasted but interesting results. Using the KOF Globalization Index, the authors confirm how the last phase of globalization set the conditions for an economic convergence among sample members.

Using the KOF Globalization Index, the authors confirm how the last phase of globalization set the conditions for an economic convergence among sample members. As a matter of fact, the new LSTM algorithm has provided consistent evidence supporting the existence of converging forces. In fact, the results highlighted the effectiveness of the experiments and the algorithm we chose. The high predictability of the authors’ model and the absence of self-alignment in the values showed a convergence be-tween the economies.

The authors considered three regional trading agreements (RTAs): European Union (EU-25), ASEAN Free Trade Area (AFTA), and South Asian Free Trade Area (SAFTA) to test the hypothesis that poor members within a RTA catch rich members and thereby follow the path of income convergence. Of particular interest is to test whether partial openness (i.e. formation of RTAs) or openness or political conditions are conducive to economic growth among the member countries of RTAs. The paper aims to discuss these issues.

The authors used pooled datasets from three different RTAs, namely the EU-25, the AFTA, and the SAFTA. Taking five years average for all variables, starting from 1961 to 1965 and extending to 2001-2005, the authors tested the hypothesis that the growth rate of per capita GDP is negatively related to the initial level of per capita GDP. Constructing a dynamic behavioral equation and forming the reduced form equation, the authors calculated the s-convergence, and both conditional and unconditional convergence.

The authors found that both the EU-25 and the AFTA exhibit s-convergence, and both conditional and unconditional convergence, while the reverse evidence was observed in the case of the SAFTA. However, the speed of convergence of the AFTA was found to be much higher than that of the EU-25.

Formation of RTA by countries should be considered as an essential condition to achieve sustained economic growth. In addition, political rights, trade openness, and more importantly benevolence of the member countries within the RTA must be shown to sustain economic growth and convergence; otherwise with the passage of time, divergence among the RTA members will be evident.

The purpose of this paper is to scrutinize the economic development of ASEAN countries during the period 2000-2014 (after the crisis) with the aim of detecting the convergence and divergence of trends over this period and of providing a framework that could be used for subsequent studies in the future.

Based on the models developed by Solow (1956) and Barro and Sala-i-Martin (1991), the authors estimate absolute and conditional β-convergence through OLS, pooled OLS and pooled OLS with time period effect. The absolute β-convergence can be modelled by the relationship between the log of the compound annual growth rate of GDP per capita (GDPC) (or per worker) and the initial level of GDPC (or per worker). The conditional β-convergence is modelled by the same relationship, supplemented by other factors potentially affecting the growth.

The findings indicate an average annual rate of σ-convergence per annum of approximately 1 per cent, and of 0.4-0.6 per cent for β-convergence, over the period 2000-2014. Compared to other macro-regions (e.g. the European Union), these rates of convergence among ASEAN countries are relatively low.

The ASEAN roadmap should address two interlinked challenges: the first one is to achieve coordination of the macroeconomic, institutional, legal and social policies within the area. The second one is to address the specific microeconomic drivers of each member state to achieve increased sustainable development.

This paper identifies the contradictory results found in previous studies on ASEAN convergence and attempts to clearly determine the optimal sample, sample time period and estimation approaches to obtain sound results regarding convergence processes.

This paper aims to examine the per capita income convergence of 57 member countries of the Organization of Islamic Cooperation (OIC) over the period 1990–2017 and to investigate the determinants of convergence club formations.

The authors applied the methodology of Phillips and Sul (2007, 2009) to identify the convergence clubs and estimated several-ordered logit models to determine the key drivers.

The results support existence of two convergence clubs and one diverging unit, indicating that 30 and 26 member countries form two separate groups converging to their own steady-state paths. They also suggest a significant productivity divergence between these clubs. The authors showed that the number of convergence clubs started to decline after the global financial crisis in 2008. Moreover, they found that fixed capital formation, education and political stability are key drivers of convergence club membership.

There is a strong need for large-scale policy interventions to close the gap between leading and lagging clubs of the OIC. A substantial investment in human and physical capital seems necessary for lower-income OIC countries.

This is the first empirical study on the existence of convergence clubs among member countries of the OIC.

The purpose of this study is to examine the role of institutions and policies on growth convergence in Africa.

This study uses different methods of panel modelling on a panel of 50 African Countries covering a period of 1990-2014.

The results confirmed the presence of conditional convergence among countries in the region. On the average, technology accumulation and fiscal policies indicators are positive function of growth, while human resources, monetary policies indicators and ineffective institutions partly necessitated by poor level of development negatively impact growth. The study concludes, though traditional growth variables and policies are imperative in achieving growth in income, they remain insufficient in an environment characterize by extractive and absolutist institutions. Therefore, institution remains the link that bridges the gap in between proper mix of resources and policies.

Based on the results, policy-makers in the region should allocate certain percentage of their resources (on a sustainable basis) towards building a qualitative institution. Also, future studies on Africa should be focused on the rate at which poor level of economic development determines the quality of institutions which in turn impacts the level of growth in income.

The study contributes to the existing literature on institutional convergence with particular focus on African countries using system GMM to capture the endogeneity among the series.

The purpose of this paper is to analyse whether several groups of European countries are on track for real “conditional” economic convergence in per capita income and the likely speed of convergence. The paper focusses also on the changes of the convergence processes over time.

Unlike the simple “absolute convergence”, it explores the concept of “conditional” or “club” convergence. Moreover, it adopts the approach of extending the univariate model to take into account the panel dimension over an extended time interval and endogeneity.

A process of real economic convergence has characterised the period under investigation (1995–2016), but, in general, the size and significance of the parameter is greater for the wide European Union (EU) area (EU25 and above) rather than the Eurozone (EZ). However, the crises occurred after 2008 caused most of such lower convergence in the Euro area.

This paper gives an estimate of the speed/time needed to several groups of European countries (EZ, in particular) to achieve real economic convergence. Future research could further develop the “stochastic” convergence concept.

This is an analysis of convergence in enlarging EU and EZ for an extended period (including the big crisis period and the subsequent recovery). It shows that EZ experienced a drop in the speed of real convergence after 2008 and converge at lower speed than the EU. As a consequence, a specific budget for EZ would be important to provide adjustment mechanisms after potentially large shocks.

The purpose of this paper is to discuss the role of Markovian transitions related to the economic convergence among countries. Thus, the paper aims to develop an overview of several classical approaches, including an analysis of fallacies exposed through the literature.

The number of modes in the distribution of the RGDPL for 100 countries in the period from 1986 to 2000 is calculated. Next, the results obtained from the relevant transition matrices are discussed and the existence of twin peaks in the distribution of income is analyzed. Finally, the adequacy of both Markovian and (time) homogeneity hypotheses in connection with the stochastic process that underlies income distribution is studied.

The results across the period 1986‐2000 show the evolution of countries into convergence clubs, instead of the existence of economic convergence.

The paper discusses two important issues on the convergence hypothesis. First, the discretization process really matters. If quartiles or quintiles are used the ergodic distribution does not show twin peaks because the process shows an equiprobabilistic ergodic (stationary) distribution in the long term. Second, the twin peaks results need a Markov (time) homogeneous chain as a model for the underlying income process, and then Chapman‐Kolmogorov's equation must be satisfied. However, the paper finds empirical evidences of failure in such an argument.