The aim of this note is to provide a unified theory of all compromise values defined as the τ-value in cooperative game theory. The so-called covariance property plays a crucial role in our approach and, related to this property, a family of covariant compromise values is introduced. The...

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