Stable Sets in Matching Problems with Coalitional Sovereignty and Path Dominance

P. Jean-Jacques Herings, Ana Mauleon and Vincent Vannetelbosch

No 2016010, LIDAM Discussion Papers CORE from Université catholique de Louvain, Center for Operations Research and Econometrics (CORE)

Abstract: We study von Neumann Morgenstern stable sets for one-to-one matching problems under the assumption of coalitional sovereignty, meaning that a deviating coalition of players does not have the power to arrange the matches of agents outside the coalition. We study both the case of pairwise and coalitional deviations. We argue further that dominance has to be replaced by path dominance along the lines of van Deemen (1991) and Page and Wooders (2009). This results in the pairwise myopic vNM set and the myopic vNM set, respectively. We obtain a unique prediction for both types of stable sets: the set of matchings that belong to the core. We also show that the pairwise and coalitional analogues of the level-1 farsighted set yield the core as the unique prediction.

Keywords: Matching problems; stable sets; coalitional sovereignty (search for similar items in EconPapers)
JEL-codes: C70 C78 (search for similar items in EconPapers)
Date: 2016-04-20
References: Add references at CitEc
Citations: View citations in EconPapers (3)

Downloads: (external link)
https://sites.uclouvain.be/core/publications/coredp/coredp2016.html (application/pdf)

Related works:
Journal Article: Stable sets in matching problems with coalitional sovereignty and path dominance (2017)
Working Paper: Stable Sets in Matching Problems with Coalitional Sovereignty and Path Dominance (2016)
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:cor:louvco:2016010

Access Statistics for this paper

More papers in LIDAM Discussion Papers CORE from Université catholique de Louvain, Center for Operations Research and Econometrics (CORE) Voie du Roman Pays 34, 1348 Louvain-la-Neuve (Belgium). Contact information at EDIRC.
Bibliographic data for series maintained by Alain GILLIS ().