Publications
Publications
- 2008
- HBS Working Paper Series
Stable Many-to-Many Matchings with Contracts
By: Bettina-Elisabeth Klaus and Markus Walzl
Abstract
We consider several notions of setwise stability for many-to-many matching markets with contracts and provide an analysis of the relations between the resulting sets of stable allocations for general, substitutable, and strongly substitutable preferences. Apart from obtaining "set inclusion results" on all three domains, we introduce weak setwise stability as a new stability concept and prove that for substitutable preferences the set of pairwise stable matchings is nonempty and coincides with the set of weakly setwise stable matchings. For strongly substitutable preferences the set of pairwise stable matchings coincides with the set of setwise stable matchings.
Keywords
Citation
Klaus, Bettina-Elisabeth, and Markus Walzl. "Stable Many-to-Many Matchings with Contracts." Harvard Business School Working Paper, No. 09-046, September 2008.