  We analyse global export data within the Economic Complexity framework. We
couple the new economic dimension Complexity, which captures how sophisticated
products are, with an index called logPRODY, a measure of the income of the
respective exporters. Products' aggregate motion is treated as a 2-dimensional
dynamical system in the Complexity-logPRODY plane. We find that this motion can
be explained by a quantitative model involving the competition on the markets,
that can be mapped as a scalar field on the Complexity-logPRODY plane and acts
in a way akin to a potential. This explains the movement of products towards
areas of the plane in which the competition is higher. We analyse market
composition in more detail, finding that for most products it tends, over time,
to a characteristic configuration, which depends on the Complexity of the
products. This market configuration, which we called asymptotic, is
characterized by higher levels of competition.
