Convex Games Versus Clan Games
CentER Discussion Paper Series No. 2006-58
17 Pages Posted: 26 Jul 2006
There are 2 versions of this paper
Convex Games Versus Clan Games
Date Written: June 2006
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
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