Cesar Hidalgo ’s research focuses on the dynamical
aspects of social and biological phenomena. He specialized in the analysis of
large data sets in an empirically driven approach to understand the interplay
between the structure and the dynamics of the networks defined by systems. His
current research agenda at Harvard
University focuses mainly
in the study of economic development from the perspective of complexity and
network science. In particular, he studies the evolution of countries’ productive
structures, both empirically and theoretically, by looking at how the
development process is shaped by the similarity between a country’s products
and the capabilities that go into producing them.
The CID Working Paper No. 201 of Ricardo Hausmann and Cesar Hidalgo entitled Country diversification, product ubiquity, and economic divergence studies
the characteristics of the relationship between products and countries that
make them. They were able to document a new stylized fact in the global pattern of exports: that there is a systematic relationship between the diversification of a
country’s exports and the ubiquity of its products. Such relationship
cannot be explained simply by distribution of diversification of countries or
by the distribution of the ubiquity of products, but speaks to a more
fundamental link between the two. This fact, according to them, is not implied by current theories of
international trade. They provided a model for such link which assumes that
each product requires a varied and potentially large set of different
complementary non-tradable inputs called capabilities.
Countries differ in the number of capabilities that are
present in their territory while products differ in the number of capabilities they
require. As a consequence, countries with more capabilities will be more diversified,
and products that require more capabilities will be accessible to fewer countries,
and hence will be less ubiquitous. The model also implies that the return to
the accumulation of new capabilities increases exponentially (2Na to
be exact) with the number of capabilities already available in a country.
Moreover, they
found out that the convexity of the increase in diversification associated with
the accumulation of a new capability increases when either the total number of
capabilities that exist in the world increases or the average complexity of products,
defined as the number of capabilities products require, increases.
This convexity
defines what they termed as quiescence trap,
or a trap of economic stasis: countries with few capabilities will have
negligible or no return to the accumulation of more capabilities, while at the
same time countries with many capabilities will experience large returns – in
terms of increased diversification – to the accumulation of additional
capabilities.
The model is calibrated
to three data sets. It showed that the derived functional forms reproduce the
empirically observed distributions of product ubiquity, the relationship
between the diversification of countries and the average ubiquity of the products
they export, and the distribution of the probability that two products are
co-exported. This calibration shows that the global economy is composed of a large
number of capabilities – between 23 and 80, depending on the level of disaggregation
of the data – and that products require on average a relatively large fraction
of these capabilities in order to be produced. The conclusion of this calibration is that the world exists in a regime
where the quiescence trap is strong.