Joint Games and Compatibility
26 Pages Posted: 7 Jun 2012 Last revised: 20 Apr 2014
Date Written: March 26, 2014
We introduce the concepts of joint games and compatibility. In a joint game, members of the grand coalition have the option to split and maximize their total worths, over different games. In order to determine whether the grand coalition will remain intact, we introduce the notion of compatibility of these games. A set of games is compatible if the core of the joint game is non-empty. We find a necessary and sufficient condition for compatibility.
Keywords: Cooperative Games, Compatibility, Importance Degree of Participation
JEL Classification: C70, C71
Suggested Citation: Suggested Citation