In this paper we consider the location of the eigenvalues of the composite matrix ( -A S1 S2 ) ( Q1 At 0 ) ( Q2 0 At ) , where the matrices Si and Qi are assumed to be semi-positive definite. Two interesting observations, which are not or only partially mentioned in literature before, challenge...

A multi-choice game is a generalization of a cooperative game in which each player has several activity levels.This note provides several characterizations of the extended Shapley value as proposed by Derks and Peters (1993).Three characterizations are based on balanced contributions properties,...