  Population games can be regarded as a tool to study the strategic interaction
of a population of players. Although several attention has been given to such
field, most of the available works have focused only on the unconstrained case.
That is, the allowed equilibrium of the game is not constrained. To further
extend the capabilities of population games, in this paper we propose a novel
class of primal-dual evolutionary dynamics that allow the consideration of
constraints that must be satisfied at the equilibrium of the game. Using
duality theory and Lyapunov stability theory, we provide sufficient conditions
to guarantee the asymptotic stability and feasibility of the equilibria set of
the game under the considered constraints. Furthermore, we illustrate the
application of the developed theory to some classical population games with the
addition of constraints.
