Convex games versus clan games

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 monotonic convex game generates a total clan game with zero worth for the clan by a 'dualize and extend' procedure. These procedures are also useful for relating core elements and elements of the Weber set of the corresponding games.