2026-06-27T10:23:07Zhttps://docta.ucm.es/rest/oai/requestoai:docta.ucm.es:20.500.14352/75552025-01-31T00:56:45Zcom_20.500.14352_14col_20.500.14352_15
Docta Complutense
author
Miranda Menéndez, Pedro
author
García Segador, Pedro
2023-06-17T08:55:59Z
2023-06-17T08:55:59Z
2020-07-10
1572-9338
10.1007/s10479-020-03712-7
https://hdl.handle.net/20.500.14352/7555
https://doi.org/10.1007/s10479-020-03712-7
https://link.springer.com/https://link.springer.com/article/10.1007/s10479-020-03712-7
In this paper we introduce the concept of order cone. This concept is inspired by the concept of order polytopes, a well-known object coming from Combinatorics. Similarly to order polytopes, order cones are a special type of polyhedral cones whose geometrical structure depends on the properties of a partially ordered set (brief poset). This allows to study these properties in terms of the subjacent poset, a problem that is usually simpler to solve. From the point of view of applicability, it can be seen that many cones appearing in the literature of monotone TU-games are order cones. Especially, it can be seen that the cones of monotone games with restricted cooperation are order cones, no matter the structure of the set of feasible coalitions.
eng
Order cones: A tool for deriving k-dimensional faces of
cones of subfamilies of monotone games
journal article
URL
https://docta.ucm.es/bitstreams/2fd1432f-0d78-407f-b238-389cc9d9fd5f/download
File
MD5
3b7555168bce34f67aa4c1f9eb6d6acb
422073
application/pdf
Order_Cones_Preprint.pdf
URL
https://docta.ucm.es/bitstreams/4975f07a-7a68-4e48-8d99-b1497c01e246/download
File
MD5
c364338745046cc1441a68e7f8e48005
570007
application/pdf
Order_Cones_Ver_Publicada.pdf