Joint Games and Compatibility

26 Pages Posted: 7 Jun 2012 Last revised: 20 Apr 2014

See all articles by Hirbod Assa

Hirbod Assa

University of Liverpool

Sheridon Elliston

Concordia University, Quebec - Department of Economics

Ehud Lehrer

Tel Aviv University - School of Mathematical Sciences

Date Written: March 26, 2014

Abstract

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

Assa, Hirbod and Elliston, Sheridon and Lehrer, Ehud, Joint Games and Compatibility (March 26, 2014). Available at SSRN: https://ssrn.com/abstract=2079286 or http://dx.doi.org/10.2139/ssrn.2079286

Hirbod Assa (Contact Author)

University of Liverpool ( email )

Institute for Financial and Actuarial Mathematics,
Liverpool, L18 8BF
United Kingdom
447522173132 (Phone)

HOME PAGE: http://sites.google.com/site/assahirbod/

Sheridon Elliston

Concordia University, Quebec - Department of Economics ( email )

1455 de Maisonneuve Blvd. W.
Montreal, Quebec H3G 1MB
Canada

Ehud Lehrer

Tel Aviv University - School of Mathematical Sciences ( email )

Tel Aviv 69978
Israel

Register to save articles to
your library

Register

Paper statistics

Downloads
41
Abstract Views
340
PlumX Metrics