  A classical problem in dynamical systems is to measure the complexity of a
map in terms of their orbits. One of the main tools we have to achieve this
goal is entropy. However, many interesting families of dynamical systems have
every element with zero-entropy. One of said families are the Morse-Smale
diffeomorphisms. The first author and E. Pujals introduced the concept of
generalized entropy that extends the classical notion of entropy. In this work,
we compute the generalized entropy of Morse-Smale diffeomorphisms on surfaces.
