An Incomplete Cooperation Structure for a Voting Game Can Be Stable

Authors: 
Yossi Feinberg
Abstract: 

Aumann and Myerson (1988) defined a linking game leading to the formation of cooperation structures. They asked whether it is possible for a simple game to have a stable structure in which no coalition forms, i.e., in which the cooperation graph is not internally complete. We answer this question affirmatively; specifically, we present a simple proper weighted majority game with a connected incomplete structure, and prove it to be stable.

Date: 
November, 1995
Published in: 
Games and Economic Behavior 24 (1998), 2-9
Number: 
85