Unique Stability in Simple Coalition Formation Games
![Printer-friendly version Printer-friendly version](http://coalitiontheory.net/sites/all/modules/print/icons/print_icon.png)
Working paper
Publisher:
FEEM
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.