Matrix representation of TU-games for Linear Efficient and Symmetric values

The aim of this article is to present a new tool for assessing TU-game based on a matrix representation. We focus on TU-games with coalition structures and provide a general matrix form of TU-game. We shed light on some useful properties of the matrix representation of TU-game and the general form obtained is applied to describe the representation for some classical TU-game. The facilities provided by such a representation are used to characterize subclasses of Linear Efficient and Symmetric (LES) values.