Unique Stability in Simple Coalition Formation Games

Printer-friendly version
Working paper
Author/s: 
Szilvia Papai
Publisher: 
University of Notre Dame
Year: 
2001
We investigate the uniqueness of stable coalition structures, when the value of a coalition to a member depends solely on the identity of the other members of the coalition. We give a complete characterization of collections of coalitions which ensure that there is a unique stable coalition structure at every preference proļ¬le when only admissible coalitions may form. An alternative characterization of unique stability is also provided, based on a graph- theoretic representation of collections of coalitions. We explore the implications of our characterization results for matching problems and the existence of strategyproof rules of coalition formation.
Developed by Paolo Gittoi