Thursday, March 28, 2019

What about Convergence: The Solow Model and Alternatives


In his textbook on “The Process of Development,” James Cypher outlines multiple models on how to look at development when you move from the classical standpoint to the more mathed up neoclassical framework. The first model he introduces is the Solow growth model where total output is a function of technology, capital, and labor, with diminishing returns to capital and labor. In the model, technology comes from outside, and “it is this exogeneous technology which is basic to higher levels of income per capita over time” (150). The model predicts two important things. The first is that there is a steady state equilibrium that can be attained, and that there is a convergence between similar countries. Opposed the classical models, in the Solow model focusing on building capital goods will not increase the rate of growth, and there is a ceiling on levels of income per the rate of savings (which equals the rate of investment) (151), so the model intuits that the way to growth is the increase the savings rate of the nation to raise that ceiling. 

Winding Roads Ahead


The Solow model was created in response to the Harrod-Domar growth model, a more Keynesian approach. Unlike the Solow model which looked at the savings rate, the Harrod-Domar model sees the rate of growth as a function of both the savings ratio as well as the capital / output ratio (152). The Keynesian view is that investment drives saving, so that the prescription here is to increase the investment. Cypher notes that all the theories lead to the same basic idea: “an expansion of total physical capital goods as a share of total output, that is higher levels of investment, that create higher income levels” (153).  One thing about this model is that instead of a steady state, there’s a real chance in the model for instability, so that the country can grow more quickly, spiraling off inflation, or not quickly enough, lagging.

What the debate between the two models really shows is that we can make these models on paper, but ultimately, what we want to see is what these models look like when we take them from paper to the real world – what maps more to reality, is there convergence or instability? The Solow model is the most attractive because it assumes that if the model is correct, then there are not that many levers we need to be able to pull to make less developed countries meet their peers so that the people in these countries have better lives. But the Harrod-Domar growth model give policy-makes a much harder bullseye to hit. 

More contemporary researchers have explored which of these models is more reflective of reality, such as Michelle Baddeley in her paper “Convergence or Divergence?” Baddeley’s examination sheds doubt on the validity of the Solow model. What she finds is that the data does not fully bear out Solow and suggest that something closer to Harrod-Domar is right – the targets are not as easy to hit as suggested, and if you miss them, there are negative consequences: “there has been limited convergence and limited equalization in the distribution of international income and / or that population growth has been too high” (396). The world has become more open, and globalization has allowed technology to be exogenous to other countries in that they have access to technology in unprecedented ways, but there is still a lack of convergence (406-7). Considering findings that trade and globalization heighten volatility and do not lead to convergence, what do we do? Baddeley suggest that the answer is if we “more carefully regulated and monitored” the financial system as to “moderate the impacts of adverse selection and moral hazard on effective financial decision making” (407). There is a lot of heaving lifting built into that line, as it would include boarder global coordination, an outcome that feels much less likely now than when she was writing. 


What are the implications if the Solow model is not correct and the evidence Michelle Baddeley marshals to her argument is right? As I wrote elsewhere in this class from a purely mathematical standpoint it illustrates the impossibility of convergence because the absolute level of growth needed for less developed countries to meet the output levels of currently developed countries is seemingly impossible. That locks in the current levels of development and the international division of labor and gifts the residents of the developed countries with incredible unearned rents that instead of being recognized by the residents of those countries, turns into the accepted birthright in the heads of so many and serves as a justification for supremacy and racism. 

Works Cited

Baddeley, M. (2006) Convergence or Divergence? The Impacts of Globalisation on Growth and Inequality in Less Developed Countries, International Review of Applied Economics, 20:3, 391-410, DOI: 10.1080/02692170600736250
Cypher, J. M. (2014). The process of economic development. London: Routledge, Taylor & Francis Group.

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