  The process of market digitization at the world level and the increasing and
extended usage of digital devices reshaped the way consumers employ their
leisure time, with the emergence of what can be called digital leisure. This
new type of leisure produces data that firms can use, with no explicit cost
paid by consumers. At the same time, the global digitalization process has
allowed workers to allocate part of (or their whole) working time to the Gig
Economy sector, which strongly relies on data as a production factor. In this
paper, we develop a two-sector growth model to study how the above mechanism
can shape the dynamics of growth, also assessing how shocks in either the
traditional or the Gig Economy sector can modify the equilibrium of the overall
economy. We find that shocks in the TFP can crowd out working time from a
sector to the other, while shocks on the elasticity of production to data
determines a change in the time allocated to digital leisure.
