  We consider the charge scheduling coordination of a fleet of plug-in electric
vehicles, developing a hybrid decision-making framework for efficient and
profitable usage of the distribution grid. Each charging dynamics, affected by
the aggregate behavior of the whole fleet, is modelled as an inter-dependent,
mixed-logical-dynamical system. The coordination problem is formalized as a
generalized mixed-integer aggregative potential game, and solved via
semi-decentralized implementation of a sequential best-response algorithm that
leads to an approximated equilibrium of the game.
