Convex Games Versus Clan Games

Abstract

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.

Keywords: convex games, core, dual games, marginal games, total clan games, Weber set

JEL Classification: C71