  We introduce a new model involving TU-games and exogenous structures.
Specifically, we consider that each player in a population can choose an
element in a strategy set and that, for every possible strategy profile, a
TU-game is associated with the population. This is what we call a TU-game with
strategies. We propose and characterize the maxmin procedure to map every game
with strategies to a TU-game. We also study whether or not the relevant
properties of TU-games are transmitted by applying the maxmin procedure.
Finally, we examine two relevant classes of TU-games with strategies: airport
and simple games with strategies.
