In this paper we generalise marginal vectors and permutational convexity. We show that if a game is generalised permutationally convex, then the corresponding generalised marginal vector is a core element. Furthermore we refine the concept of permutational convexity and show that this refinement...

In this paper we provide characterizations of convex games and total clan games by using properties of their corresponding marginal games. We show that a 'dualize and restrict' procedure transforms total clan games with zero worth for the clan into monotonic convex games. Furthermore, each...

In this paper we provide characterizations of convex games and total clan games by using properties of their corresponding marginal games. We show that a "dualize and restrict" procedure transforms total clan games with zero worth for the clan into monotonic convex games. Furthermore, each...

In this paper we provide characterizations of convex games and total clan games by using properties of their corresponding marginal games. We show that a "dualize and restrict" procedure transforms total clan games with zero worth for the clan into monotonic convex games. Furthermore, each...

Most of the known efficient algorithms designed to compute the nucleolus for special classes of balanced games are based on two facts: (i) in any balanced game, the coalitions which actually determine the nucleolus are essential; and (ii) all essential coalitions in any of the games in the class...