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.

翻译：我们提出了一种涉及TU博弈与外生结构的新模型。具体而言，我们考虑群体中每位参与者可选择一个策略集中的元素，且对每个可能的策略组合，均存在一个与该群体相关联的TU博弈。我们将此称为带策略的TU博弈。我们提出并刻画了将每个带策略的博弈映射至一个TU博弈的最大最小化方法，同时研究了TU博弈的相关属性是否能在应用最大最小化方法后得以保持。最后，我们考察了两类重要的带策略的TU博弈：机场博弈与简单博弈。