The rule of decreasing serial cost sharing defined in de Frutos [1] over the class of concave cost functions may violate the important stand-alone test. Sufficient conditions for the test to be satisfied are given, in terms of individual rationality as well as coalitional stability. These...

This paper considers generalized Lorenz-maximal solutions in the core of a convex TU-game and demonsrtates that such solutions satisfy coalitional monotonicity and population monotonicity.