This paper deals with a new class of multi-choice games, the class of multi-choice total clan games. The structure of the core of a multi-choice clan game is explicitly described. Furthermore, characterizations of multi-choice total clan games are given and bi-monotonic allocation schemes...

In this paper we provide some technical results related to the Lorenz dominance, which allow to prove that the allocation obtained by the algorithm in Dutta and Ray (1989), when exists, and the elements of the equal split-off set always Lorenz dominate every allocation in the core of the game