Abstract
The literature on convergence in per-capita income across countries has not converged on a common concept of convergence. It may be within a country towards its own steady state or between countries. Between country convergence may be absolute convergence to the same steady state; conditional convergence to country specific steady states, functions of observed variables; or club convergence to different steady states. It may be measured by beta convergence; sigma convergence; or the presence of a common trend. This paper surveys the econometric issues involved in estimating the rate of convergence; testing for convergence; and specifying the unobserved steady state. The survey suggests that rather than there being different ways to measure a single concept, convergence, the different measures are measuring different things.
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Notes
The focus of the distributional literature has been on whether there is bi-modality, "twin-peaks". However, the 2010 distribution presented by JP appears to show three modes, though this may be a product of the smoothing.
For convenience, the intercept has here been included in the steady state, but this means that if \(\beta _{it}=0,\) the expected growth rate is zero, which is not a desirable feature.
Sen thanks Frank Hahn, Robin Mathews, Luigi Pasinetti, Joan Robinson and Robert Solow for comments on an earlier draft of the introduction, saying "Their suggestions, often contradictory but always useful, have helped me a great deal to prepare the final version."
This included a different Sato (1966).
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Acknowledgements
I am grateful to Kian Howe Ong for his encouragement in writing this paper and for useful comments from participants at a Nottinghan Ningbo workshop in September 2023 and from an anonymous referee.
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Smith, R.P. Econometric Aspects of Convergence: A Survey. Open Econ Rev (2024). https://doi.org/10.1007/s11079-024-09753-w
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DOI: https://doi.org/10.1007/s11079-024-09753-w