We focus on bicooperative games, a variation of the classic cooperative games and, in particular, on the Banzhaf and the Shapley bisemivalues defined on these games. We consider three special classes of players: weak null, necessary defender and necessary detractor players. By introducing new properties related to this kind of players, we provide new axiomatic characterizations of the Banzhaf and the Shapley bisemivalues giving, in both cases, a set of independent properties that univocally determine them. We also provide a computational procedure to calculate the allocations given by the Shapley bisemivalue in terms of the generalized multilinear extension of the game.

我们专注于双合作博弈，经典合作博弈的变体，特别是在这些博弈上定义的 Banzhaf 和 Shapley bisemivalues。我们考虑三种特殊类型的玩家：弱空、必要的防守者和必要的贬低者。通过引入与此类玩家相关的新属性，我们提供了 Banzhaf 和 Shapley 双半值的新公理特征，在这两种情况下，都给出了一组独立的属性，这些属性可以明确地确定它们。我们还提供了一个计算程序来计算由 Shapley 二半值根据博弈的广义多线性扩展给出的分配。