Carregant...
Tipus de document
Document de treballData de publicació
Llicència de publicació
Si us plau utilitzeu sempre aquest identificador per citar o enllaçar aquest document: https://hdl.handle.net/2445/131210
A new order on embedded coalitions: Properties and Applications
Títol de la revista
Director/Tutor
ISSN de la revista
Títol del volum
Recurs relacionat
Resum
Given a finite set of agents, an embedded coalition consists of a coalition and a partition of the rest of agents. We study a partial order on the set of embedded coalitions of a finite set of agents. An embedded coalition precedes another one if the first coalition is contained in the second and the second partition equals the first one after removing the agents in the second coalition. This poset is not a lattice. We describe the maximal lower bounds and minimal upper bounds of a finite subset, whenever they exist. It is a graded poset and we are able to count the number of elements at a given level as well as the total number of chains. The study of this structure allows us to derive results for games with externalities. In particular, we introduce a new concept of convexity and show that it is equivalent to having non-decreasing contributions to embedded coalitions of increasing size.
Citació
Citació
ALONSO-MEIJIDE, José mª, ÁLVAREZ-MOZOS, Mikel, FIESTRAS-JANEIRO, M. gloria, JIMÉNEZ-LOSADA, Andrés. A new order on embedded coalitions: Properties and Applications. _UB Economics – Working Papers_. 2019. Vol. E18/388. [consulta: 23 de gener de 2026]. [Disponible a: https://hdl.handle.net/2445/131210]